Deck 10: Characteristics of Functions and Their Graphs

Question 1

Classify the function as continuous or discontinuous.

A)continuous
B)discontinuous

Answer 1

discontinuous

Question 2

Classify the function as continuous or discontinuous.

A)discontinuous
B)continuous

Answer 2

continuous

Question 3

Classify the function as continuous or discontinuous.

A)discontinuous
B)continuous

Answer 3

continuous

Question 4

Graph the piecewise function.

- $f ( x ) = \left\{ \begin{array} { l l } 1 & \text { if } x \geq 1 \\x + 3 & \text { if } x < 1\end{array} \right.$

A)
B)
C)
D)

Question 5

Classify the function as continuous or discontinuous. If the function is not continuous, identify the point(s)of
discontinuity.

- $$f ( x ) = 3 ^ { x } - 2$$

A)discontinuous at x = 0
B)continuous
C)discontinuous at x = -2
D)discontinuous at x = 2

Question 6

Classify the function as continuous or discontinuous.

A)continuous
B)discontinuous

Question 7

Classify the function as continuous or discontinuous.

A)discontinuous
B)continuous

Question 8

Classify the function as continuous or discontinuous. If the function is not continuous, identify the point(s)of
discontinuity.

- $f ( x ) = 6 ( x + 3 ) ^ { 2 }$

A)continuous
B)discontinuous at x = -3
C) $\text { discontinuous at } x = \frac { 1 } { 2 }$
D)discontinuous at x = 3

Question 9

Identify the local maximum and minimum of the graphed function.

A)local maximum: (-1, 1)
B)local minimum: (-1, 1)local minimum: (-3, 5)local maximum: (-3, 5)
C)local minimum: (1, -1)
D)local maximum: (1, -1)local maximum: (5, -3)local minimum: (5, -3)

Question 10

Classify the function as continuous or discontinuous. If the function is not continuous, identify the point(s)of
discontinuity.

- $$f ( x ) = \frac { 5 x + 2 } { x ^ { 2 } + 4 }$$

A)continuous
B)discontinuous at x = -2 and x = 2
C) $\text { discontinuous at } x = - 2 , x = 2 \text { and } x = \frac { 2 } { 5 }$
D)discontinuous at x = 4

Question 11

Graph the piecewise function.

- $f ( x ) = \left\{ \begin{array} { l l } x + 5 & \text { if } x > 4 \\- ( x + 5 ) & \text { if } x \leq 4\end{array} \right.$

A)
B)
C)
D)

Question 12

Classify the function as continuous or discontinuous. If the function is not continuous, identify the point(s)of
discontinuity.

-f(x)= 4x + 3

A)discontinuous at x = -3
B) $\text { discontinuous at } x = - \frac { 3 } { 4 }$
C) $\text { discontinuous at } x = \frac { 3 } { 4 }$
D)continuous

Question 13

Classify the function as continuous or discontinuous. If the function is not continuous, identify the point(s)of
discontinuity.

- $f ( x ) = \llbracket \frac { x } { 3 } \rrbracket$

A)discontinuous at x = . . . -3, -2, -1, 0, 1, 2, 3, . . .
B)continuous
C) $\text { discontinuous at } x = \ldots - 1 , - \frac { 2 } { 3 } , - \frac { 1 } { 3 } , 0 , \frac { 1 } { 3 } , \frac { 2 } { 3 } , 1 , \ldots$
D)discontinuous at x = . . . -9, -6, -3, 0, 3, 6, 9, . . .

Question 14

Classify the function as continuous or discontinuous. If the function is not continuous, identify the point(s)of
discontinuity.

- $f ( x ) = \frac { 5 } { x + 5 }$

A)discontinuous at x = -5
B)discontinuous at x = - 1
C)continuous
D)discontinuous at x = 5

Question 15

Classify the function as continuous or discontinuous.

A)continuous
B)discontinuous

Question 16

Classify the function as continuous or discontinuous. If the function is not continuous, identify the point(s)of
discontinuity.

- $f ( x ) = \log _ { 4 } ( x + 2 )$

A)discontinuous at x = 2
B)discontinuous at x = -2
C)continuous
D)discontinuous at x = 0

Question 17

Classify the function as continuous or discontinuous.

A)discontinuous
B)continuous

Question 18

Classify the function as continuous or discontinuous. If the function is not continuous, identify the point(s)of
discontinuity.

- $f ( x ) = 7 ( x - 6 ) ^ { 2 }$

A)continuous
B)discontinuous at x = 6
C) $\text { discontinuous at } x = \frac { 6 } { 7 }$
D)discontinuous at x = -6

Question 19

Classify the function as continuous or discontinuous. If the function is not continuous, identify the point(s)of
discontinuity.

- $f ( x ) = x ^ { 2 } + 8 x + 12$

A)discontinuous at x = 2 and x = 6
B)discontinuous at x = -2 and x = -6
C)continuous
D) $\text { discontinuous at } x = - \frac { 2 } { 3 }$

Question 20

Graph the piecewise function.

- $g ( x ) = \left\{ \begin{array} { l l } - x - 1 & \text { if } x < - 2 \\- 2 x - 2 & \text { if } x > - 2\end{array} \right.$

A)
B)
C)
D)

Question 21

Graph the greatest integer function.

- $f ( x ) = \llbracket \frac { 1 } { 3 } x \rrbracket$

A)
B)
C)
D)

Question 22

Graph the piecewise function.

- $f ( x ) = \left\{ \begin{array} { l l } - 2 x & \text { if } x \leq - 2 \\- 2 x + 2 & \text { if } - 2 < x \leq 2 \\x + 1 & \text { if } x > 2\end{array} \right.$

A)
B)
C)
D)

Question 23

Find the real zeros of the function, state their multiplicities if it is a number other than 1.

- $f ( x ) = x ^ { 2 } - 25$

A)x = 5, multiplicity: 2
B) $x = \sqrt { 5 } , x = - \sqrt { 5 }$
C)x = -5, multiplicity: 2
D)x = 5, x = -5

Question 24

Find the real zeros of the function, state their multiplicities if it is a number other than 1.

- $f ( x ) = x ^ { 2 } - 16 x + 64$

A)x = -8, multiplicity: 2
B)x = 8, multiplicity: 2
C)x = 16, multiplicity: 2
D)x = 8, x = -8

Question 25

Determine whether the function is an even function, an odd function, or neither.

- $f ( x ) = x ^ { 5 } - x ^ { 4 }$

A)Odd
B)Even
C)Neither

Question 26

Find the real zeros of the function, state their multiplicities if it is a number other than 1.

- $f ( x ) = x ^ { 3 } + x ^ { 2 } - 20 x$

A)x = 3, x = 4
B)x = 0, x = 3, x = 4
C)x = 0, x = - 5, x = 4
D)x = - 5, x = 4

Question 27

Determine whether the function is an even function, an odd function, or neither.

- $f ( x ) = x ^ { 3 } + x ^ { 2 } - 4$

A)Odd
B)Neither
C)Even

Question 28

Determine whether the function is an even function, an odd function, or neither.

- $f ( x ) = x ^ { 3 } - 4 x$

A)Odd
B)Neither
C)Even

Question 29

Determine whether the function is an even function, an odd function, or neither.

- $g ( x ) = e ^ { 3 x } + 5$

A)Odd
B)Neither
C)Even

Question 30

Graph the greatest integer function.

- $f ( x ) = \llbracket \frac { x + 4 } { 3 } \rrbracket$

A)
B)
C)
D)

Question 31

Solve the problem.

-Sam Wright wants to stock up on cans of cat food which are selling for $0.95 per can. Write a greatest integer function that represents the number of cans he can purchase with x dollars.

A) $f ( x ) = 0.95 \llbracket x \rrbracket$
B) $f ( x ) = \llbracket 0.95 x \rrbracket$
C) $f ( x ) = \llbracket \frac { x } { 0.95 } \rrbracket$
D) $f ( x ) = \frac { \llbracket x \rrbracket } { 0.95 }$

Question 32

Find the real zeros of the function, state their multiplicities if it is a number other than 1.

- $f ( x ) = 5 ( x + 3 ) ( x + 7 ) ^ { 4 }$

A)x = 3, x = 4
B)x = -3, x = 4
C) $\begin{array} { l } x = 3 \\x = 7 , \text { multiplicity: } 4 \\x = 4\end{array}$
D) $\begin{array} { l } x = - 3 \\x = - 7 , \text { multiplicity: } 4\end{array}$

Question 33

Find the real zeros of the function, state their multiplicities if it is a number other than 1.

- $f ( x ) = 2 x ^ { 2 } - 26$

A) $x = \sqrt { 13 } , \text { mutiplicity: } 2$
B)x = -13, x = 13
C) $x = - \sqrt { 13 } , x = \sqrt { 13 }$
D)x = 13, mutiplicity: 2

Question 34

Graph the greatest integer function.

- $f ( x ) = \llbracket x - 2 \rrbracket$

A)
B)
C)
D)

Question 35

Find the real zeros of the function, state their multiplicities if it is a number other than 1.

- $f ( x ) = x ^ { 2 } + 10 x + 21$

A) $x = - \sqrt { 21 } , x = \sqrt { 21 }$
B) $x = - 7 , x = - 3$
C) $x = - 7 , x = 28$
D) $x = 3 , x = 7$

Question 36

Solve the problem.

-A paddle boat rental company rents paddle boats by the hour. They charge $7.00 per hour for the first 3 rental hours and $5.00 per hour for each additional hour. Write a piecewise function to represent the cost of renting a
Paddle boat as a function of hours it is rented.

A) $f ( x ) = \left\{ \begin{array} { l l } 7 \llbracket x \rrbracket & \text { if } 0 < x \leq 3 \\21 \llbracket x \rrbracket + 5 \llbracket x - 3 \rrbracket & \text { if } x > 3\end{array} \right.$
B) $f ( x ) = \left\{ \begin{array} { l l } 7 \llbracket x \rrbracket & \text { if } 0 < x \leq 3 \\7 \llbracket x \rrbracket + 5 \llbracket x - 3 \rrbracket & \text { if } x > 3\end{array} \right.$
C) $f ( x ) = \left\{ \begin{array} { l l } 7 \llbracket x \rrbracket & \text { if } 0 < x \leq 3 \\21 + 5 \llbracket x - 3 \rrbracket & \text { if } x > 3\end{array} \right.$
D) $f ( x ) = \left\{ \begin{array} { l l } 7 \llbracket x \rrbracket & \text { if } 0 < x \leq 3 \\5 \llbracket x - 3 \rrbracket & \text { if } x > 3\end{array} \right.$

Question 37

Determine whether the function is an even function, an odd function, or neither.

- $f ( x ) = 2 x ^ { 2 } + x ^ { 4 }$

A)Odd
B)Even
C)Neither

Question 38

Determine whether the function is an even function, an odd function, or neither.

- $f ( x ) = - 3 x ^ { 5 } + x ^ { 3 }$

A)Even
B)Neither
C)Odd

Question 39

Graph the piecewise function.

- $g ( x ) = \left\{ \begin{array} { l l } 5 x + 5 & \text { if } x \leq 1 \\- \frac { 1 } { 5 } x + \frac { 6 } { 5 } & \text { if } x > 1\end{array} \right.$

A)
B)
C)
D)

Question 40

Determine whether the function is an even function, an odd function, or neither.

- $g ( x ) = e ^ { x ^ { 3 } } - 4$

A)Even
B)Neither
C)Odd

Question 41

Find the real zeros of the function, state their multiplicities if it is a number other than 1.

- $f ( x ) = ( x + 1 ) ( x - 4 ) \left( x ^ { 2 } - 4 \right)$

A) $\begin{array} { l } x = - 1 , x = 4 \\x = 2 , \text { multiplicity: } 2\end{array}$
B) $\begin{array} { l } x = - 1 , x = 4 \\x = 2 , x = - 2\end{array}$
C) $\begin{array} { l } x = 1 , x = - 4 \\x = 2 , x = - 2\end{array}$
D) $\mathrm { x } = 0$ , multiplicity: 2
$\mathrm { x } = 2$ , multiplicity: 2

Question 42

Determine the maximum possible number of turning points for the graph of the function.

- $f ( x ) = x ^ { 2 } \left( x ^ { 2 } - 3 \right) ( 4 x + 1 )$

A)4
B)16
C)5
D)2

Question 43

Find the x-intercepts of the function.

- $f ( x ) = \left( x + \frac { 1 } { 5 } \right) ^ { 2 } ( x + 9 ) ^ { 5 }$

A) $x \text {-intercept: } \left( - \frac { 1 } { 5 } , 0 \right) , x \text {-intercept: } ( 9,0 )$
B) $x \text {-intercept: } \left( \frac { 1 } { 5 } , 0 \right) , x \text {-intercept: } ( - 9,0 )$
C) $x \text {-intercept: } \left( \frac { 1 } { 5 } , 0 \right) , x \text {-intercept: } ( 9,0 )$
D) $\mathrm { x } \text {-intercept: } \left( - \frac { 1 } { 5 } , 0 \right) , \mathrm { x } \text {-intercept: } ( - 9,0 )$

Question 44

Determine the maximum possible number of turning points for the graph of the function.

- $f ( x ) = - x ^ { 2 } - 4 x - 21$

A)0
B)1
C)3
D)2

Question 45

Find the real zeros of the function, state their multiplicities if it is a number other than 1.

- $f ( x ) = \left( x + \frac { 1 } { 3 } \right) ^ { 2 } ( x - 2 ) ^ { 3 }$

A) $x = - \frac { 1 } { 3 }$ , multiplicity: 2
$x = 2$ , multiplicity: 3
B) $x = \frac { 1 } { 3 }$ , multiplicity: 2
$x = - 2$ , multiplicity: 3
C) $x = - \frac { 1 } { 3 }$ , multiplicity: 2
$x = 2$ , multiplicity: 2
D) $x = \frac { 1 } { 3 }$ , multiplicity: 2
$x = 2$ , multiplicity: 3

Question 46

Find the x-intercepts of the function.

- $f ( x ) = x ^ { 5 } \left( x ^ { 2 } - 25 \right) \left( x ^ { 2 } + 16 \right)$

A)x-intercept: (0, 0), x-intercept: (-5, 0)
B)x-intercept: (0, 0), x-intercept: (5, 0), x-intercept: (-5, 0)x-intercept: (4, 0), x-intercept: (-4, 0)
C)x-intercept: (0, 0), x-intercept: (5, 0)
D)x-intercept: (0, 0), x-intercept: (5, 0), x-intercept: (-5, 0)

Question 47

Determine the maximum possible number of turning points for the graph of the function.

- $g ( x ) = \frac { 5 } { 2 } x + 1$

A)2
B)1
C)0
D)3

Question 48

Find the x-intercepts of the function.

- $f ( x ) = ( x + 1 ) ( x - 2 ) \left( x ^ { 2 } - 9 \right)$

A)x-intercept: (1, 0), x-intercept: (-2, 0)x-intercept: (3, 0), x-intercept: (-3, 0)
B)x-intercept: (-1, 0), x-intercept: (2, 0)x-intercept: (3, 0), x-intercept: (-3, 0)
C)x-intercept: (-1, 0), x-intercept: (2, 0), x-intercept: (3, 0)
D)x-intercept: (-1, 0), x-intercept: (2, 0), x-intercept: (-3, 0)

Question 49

Find the x-intercepts of the function.

- $f ( x ) = x ^ { 2 } - 18 x + 81$

A)x-intercept: (9, 0)
B)x-intercept: (-9, 0)
C)x-intercept: (18, 0)
D)x-intercept: (9, 0), x-intercept: (-9, 0)

Question 50

Find the x-intercepts of the function.

- $f ( x ) = 4 x ^ { 2 } - 44$

A)x-intercept: (12, 0)
B) $x \text {-intercept: } ( \sqrt { 11 } , 0 )$
C)x-intercept: (-11, 0), x-intercept: (11, 0)
D) $x \text {-intercept: } ( - \sqrt { 11 } , 0 ) , x \text {-intercept: } ( \sqrt { 11 } , 0 )$

Question 51

Find the x-intercepts of the function.

- $f ( x ) = x ^ { 2 } - 64$

A)x-intercept: (8, 0)
B) $x \text {-intercept: } ( 2 \sqrt { 2 } , 0 ) , x \text {-intercept: } ( - 2 \sqrt { 2 } , 0 )$
C)x-intercept: (8, 0), x-intercept: (-8, 0)
D)x-intercept: (-8, 0)

Question 52

Find the x-intercepts of the function.

- $f ( x ) = x ^ { 2 } - 4 x + 3$

A)x-intercept: (-3, 0), x-intercept: (-1, 0)
B) $\mathrm { x } \text {-intercept: } ( - \sqrt { 3 } , 0 ) , \mathrm { x } \text {-intercept: } ( \sqrt { 3 } , 0 )$
C)x-intercept: (1, 0), x-intercept: (2, 0)
D)x-intercept: (1, 0), x-intercept: (3, 0)

Question 53

Determine the maximum possible number of turning points for the graph of the function.

- $f ( x ) = x ^ { 2 } + 6 x ^ { 3 }$

A)2
B)3
C)1
D)6

Question 54

Determine the maximum possible number of turning points for the graph of the function.

- $f ( x ) = ( x - 2 ) ( x + 3 ) ( x - 5 ) ( x - 1 )$

A)3
B)1
C)4
D)0

Question 55

Find the x-intercepts of the function.

- $f ( x ) = x ^ { 3 } + x ^ { 2 } - 30 x$

A)x-intercept: (0, 0), x-intercept: (- 6, 0), x-intercept: (5, 0)
B)x-intercept: (4, 0), x-intercept: (5, 0)
C)x-intercept: (- 6, 0), x-intercept: (5, 0)
D)x-intercept: (0, 0), x-intercept: (4, 0), x-intercept: (5, 0)

Question 56

Find the real zeros of the function, state their multiplicities if it is a number other than 1.

- $f ( x ) = x ^ { 2 } \left( x ^ { 2 } - 4 \right) \left( x ^ { 2 } + 36 \right)$

A) $x = 0$ , multiplicity: 2
$$x = 2 , x = - 2$$
B) $x = 0$ , multiplicity: 2
$$\begin{array} { l } x = 2 , x = - 2 \\x = 6 , x = - 6\end{array}$$
C) $x = 0$ , multiplicity: 2
$x = - 2$ , multiplicity: 2
D) $\mathrm { x } = 0$ , multiplicity: 2
$x = 2$ , multiplicity: 2

Question 57

Determine the maximum possible number of turning points for the graph of the function.

- $f ( x ) = ( 7 x - 2 ) ^ { 2 } \left( x ^ { 2 } - 1 \right) ( x + 1 )$

A)4
B)2
C)5
D)35

Question 58

Determine the maximum possible number of turning points for the graph of the function.

- $f ( x ) = ( x + 2 ) ( x - 4 ) ( 4 x - 6 )$

A)3
B)4
C)0
D)2

Question 59

Find the x-intercepts of the function.

- $f ( x ) = 2 ( x + 4 ) ( x - 5 ) ^ { 3 }$

A)x-intercept: (4, 0), x-intercept: (3, 0)
B)x-intercept: (4, 0), x-intercept: (-5, 0), x-intercept: (3, 0)
C)x-intercept: (-4, 0), x-intercept: (3, 0)
D)x-intercept: (-4, 0), x-intercept: (5, 0)

Question 60

Determine the maximum possible number of turning points for the graph of the function.

- $f ( x ) = 5 x ^ { 7 } - 4 x ^ { 6 } - 6 x - 14$

A)5
B)7
C)0
D)6

Question 61

Determine which of the given graphs could be the graph of the given polynomial function.

- $P ( x ) = - 6 x ^ { 3 } - 3 x ^ { 2 } + 3 x - 2$

A)
B)
C)
D)

Question 62

Determine the minimum degree of the polynomial function graphed.

- $f ( x ) = x ^ { 2 } ( x - 5 ) ( x - 1 )$

A)
B)
C)
D)

Question 63

Determine the minimum degree of the polynomial function graphed.

- $f ( x ) = x ^ { 4 } - 5 x ^ { 3 } + 4 x ^ { 2 }$

A)
B)
C)
D)

Question 64

Determine the minimum degree of the polynomial function graphed.

A)4
B)2
C)-3
D)3

Question 65

Describe the location, either above the x-axis or below the x-axis, of the graph of the function for large positive values of
x and for large negative values of x.

- $f ( x ) = - 9 x ^ { 5 } + x ^ { 4 } - 4 x + 6$

A)large positive values of x: below x-axis
B)large positive values of x: below x-axis large negative values of x: below x-axis large negative values of x: above x-axis
C)large positive values of x: above x-axis
D)large positive values of x: above x-axis large negative values of x: above x-axis large negative values of x: below x-axis

Question 66

Determine the minimum degree of the polynomial function graphed.

A)2
B)3
C)4
D)-4

Question 67

Describe the location, either above the x-axis or below the x-axis, of the graph of the function for large positive values of
x and for large negative values of x.

- $f ( x ) = - 9 x ^ { 3 }$

A) large positive values of x: above x-axis , large negative values of x: above x-axis
B)llarge positive values of x: below x-axis , large negative values of x: above x-axis
C)large positive values of x: above x-axis , large negative values of x: below x-axis
D)large positive values of x: below x-axis , large negative values of x: below x-axis

Question 68

Determine the minimum degree of the polynomial function graphed.

- $f ( x ) = ( x - 2 ) ( x - 1 ) ( x + 1 )$

A)
B)
C)
D)

Question 69

Determine which of the given graphs could be the graph of the given polynomial function.

- $P ( x ) = 4 x ^ { 5 } + 5 x ^ { 3 } - 16 x ^ { 2 } + 8$

A)
B)
C)
D)

Question 70

Determine the minimum degree of the polynomial function graphed.

A)2
B)4
C)3
D)-2

Question 71

Determine the maximum and minimum number of x-intercepts for the graph of the polynomial function. Do not graph
the function.

- $f ( x ) = 5 x ^ { 9 } - 4 x ^ { 8 } + x ^ { 7 } + 2.5 x + 15$

A)maximum number of x-intercepts: 9; minimum number of x-intercepts: 3
B)maximum number of x-intercepts: 9; minimum number of x-intercepts: 2
C)maximum number of x-intercepts: 9; minimum number of x-intercepts: 0
D)maximum number of x-intercepts: 9; minimum number of x-intercepts: 1

Question 72

Determine the maximum and minimum number of x-intercepts for the graph of the polynomial function. Do not graph
the function.

- $f ( x ) = x ^ { 2 } - 3 x - 3$

A)maximum number of x-intercepts: 2; minimum number of x-intercepts: 1
B)maximum number of x-intercepts: 3; minimum number of x-intercepts: 3
C)maximum number of x-intercepts: 2; minimum number of x-intercepts: 2
D)maximum number of x-intercepts: 3; minimum number of x-intercepts: 2

Question 73

Determine the minimum degree of the polynomial function graphed.

- $f ( x ) = x ( x + 1 ) ( x + 2 )$

A)
B)
C)
D)

Question 74

Determine the minimum degree of the polynomial function graphed.

- $f ( x ) = - 3 x ( x - 2 ) ^ { 2 }$

A)
B)
C)
D)

Question 75

Determine the maximum and minimum number of x-intercepts for the graph of the polynomial function. Do not graph
the function.

- $f ( x ) = 5 x ^ { 3 } + x ^ { 2 } - 5 x - 2$

A)maximum number of x-intercepts: 3; minimum number of x-intercepts: 0
B)maximum number of x-intercepts: 3; minimum number of x-intercepts: 1
C)maximum number of x-intercepts: 3; minimum number of x-intercepts: 2
D)maximum number of x-intercepts: 2; minimum number of x-intercepts: 1

Question 76

Determine the minimum degree of the polynomial function graphed.

- $f ( x ) = ( x - 5 ) ^ { 2 } ( x - 3 )$

A)
B)
C)
D)

Question 77

Determine the maximum and minimum number of x-intercepts for the graph of the polynomial function. Do not graph
the function.

- $f ( x ) = 7 x ^ { 6 } - 6 x ^ { 5 } + x ^ { 4 } + 3.5 x - 5$

A)maximum number of x-intercepts: 5; minimum number of x-intercepts: 2
B)maximum number of x-intercepts: 5; minimum number of x-intercepts: 0
C)maximum number of x-intercepts: 6; minimum number of x-intercepts: 0
D)maximum number of x-intercepts: 6; minimum number of x-intercepts: 2

Question 78

Determine the minimum degree of the polynomial function graphed.

- $f ( x ) = x ^ { 3 } + 5 x ^ { 2 } + 6 x$

A)
B)
C)
D)

Question 79

Determine the minimum degree of the polynomial function graphed.

- $f ( x ) = ( x - 4 ) ( x - 2 ) ( x + 1 ) ( x + 2 )$

A)
B)
C)
D)

Question 80

Describe the location, either above the x-axis or below the x-axis, of the graph of the function for large positive values of
x and for large negative values of x.

- $f ( x ) = x ^ { 5 } + x ^ { 4 } + x ^ { 3 } + x ^ { 2 } + x - 3$

A)large positive values of x: above x-axis
B)large positive values of x: below x-axis large negative values of x: below x-axis large negative values of x: below x-axis
C)large positive values of x: below x-axis
D)large positive values of x: above x-axis large negative values of x: above x-axis large negative values of x: above x-axis