Question 1

Provide an appropriate response.
-If the point (a, b) is in the fourth quadrant, in what quadrant is (a, -b)?

Accepted Answer

A)  II 
B)  IV 
C)  III 
D)  I 
A)  II 
B)  IV 
C)  III 
D)  I

Question 2

Find the requested value.
-$f ( - 6 )$ for $f ( x ) = \left\{ \begin{array} { l l } 2 x , & \text { if } x \leq - 1 \ x - 8 , & \text { if } x > - 1 \end{array} \right.$

Accepted Answer

A)  12 
B)  $- 14$ 
C)  $- 2$ 
D)  $- 12$ 
A)  12 
B)  $- 14$ 
C)  $- 2$ 
D)  $- 12$

Question 3

Decide whether or not the equation has a circle as its graph. If it does not, describe the graph.
-$$x ^ { 2 } + y ^ { 2 } - 10 x - 6 y + 211 = 0$$

Accepted Answer

A)  yes 
B)  no; the graph is nonexistent 
C)  no; the graph is the point (-5, -3) 
D)  no; the graph is the point (5, 3) 
A)  yes 
B)  no; the graph is nonexistent 
C)  no; the graph is the point (-5, -3) 
D)  no; the graph is the point (5, 3)

Question 4

Determine if the function is even, odd, or neither.
-$$f ( x ) = - 5 x ^ { 3 } + 3 x$$

Accepted Answer

A)  Odd 
B)  Neither 
C)  Even 
A)  Odd 
B)  Neither 
C)  Even

Question 5

Graph the function.
-$y=x^{2}+1$

Accepted Answer

A) 
  
B) 
  
C) 
  
D) 
  
A) 
  
B) 
  
C) 
  
D)

Question 6

The graph of a linear function f is shown. Write the equation that defines f. Write the equation in slope -intercept form.
-

Accepted Answer

A)  $y = 4 x - 6$ 
B)  $y = \frac { 1 } { 4 } x + 6$ 
C)  $y = \frac { 1 } { 4 } x - 6$ 
D)  $y = 4 x + 6$ 
A)  $y = 4 x - 6$ 
B)  $y = \frac { 1 } { 4 } x + 6$ 
C)  $y = \frac { 1 } { 4 } x - 6$ 
D)  $y = 4 x + 6$

Question 7

An equation that defines y as a function of x is given. Solve for y in terms of x, and replace y with the function notation
f(x).
-$$5 x + 9 y = 19$$

Accepted Answer

A)  $f ( x ) = 5 x - 19$ 
B)  $f ( x ) = - \frac { 5 } { 9 } x + \frac { 19 } { 9 }$ 
C)  $f ( x ) = \frac { 5 } { 9 } x - \frac { 19 } { 9 }$ 
D)  $f ( x ) = \frac { 5 } { 9 } x + \frac { 19 } { 9 }$ 
A)  $f ( x ) = 5 x - 19$ 
B)  $f ( x ) = - \frac { 5 } { 9 } x + \frac { 19 } { 9 }$ 
C)  $f ( x ) = \frac { 5 } { 9 } x - \frac { 19 } { 9 }$ 
D)  $f ( x ) = \frac { 5 } { 9 } x + \frac { 19 } { 9 }$

Question 8

Give the domain and range of the relation.
-

Accepted Answer

A)  domain: $( - \infty , \infty )$; range: $( - \infty , \infty )$ 
B)  domain: $( - \infty , \infty )$; range: $\{ 4 \}$ 
C)  domain: $\{ 4 \}$; range: $( - \infty , \infty )$ 
D)  domain: $( - \infty , \infty )$; range: $( - \infty , 4 ) \cup ( 4 , \infty )$ 
A)  domain: $( - \infty , \infty )$; range: $( - \infty , \infty )$ 
B)  domain: $( - \infty , \infty )$; range: $\{ 4 \}$ 
C)  domain: $\{ 4 \}$; range: $( - \infty , \infty )$ 
D)  domain: $( - \infty , \infty )$; range: $( - \infty , 4 ) \cup ( 4 , \infty )$

Question 9

Solve the problem.
-Find the equation of a circle with center at $( - 4,4 )$, passing through the point $( 2,12 )$. Write it in center-radius form.

Accepted Answer

A)  $( x - 4 ) ^ { 2 } + ( y + 4 ) ^ { 2 } = 10$ 
B)  $( x + 4 ) ^ { 2 } + ( y - 4 ) ^ { 2 } = 100$ 
C)  $( x + 4 ) ^ { 2 } + ( y - 4 ) ^ { 2 } = 10$ 
D)  $( x - 4 ) ^ { 2 } + ( y + 4 ) ^ { 2 } = 100$ 
A)  $( x - 4 ) ^ { 2 } + ( y + 4 ) ^ { 2 } = 10$ 
B)  $( x + 4 ) ^ { 2 } + ( y - 4 ) ^ { 2 } = 100$ 
C)  $( x + 4 ) ^ { 2 } + ( y - 4 ) ^ { 2 } = 10$ 
D)  $( x - 4 ) ^ { 2 } + ( y + 4 ) ^ { 2 } = 100$

Question 10

Decide whether the relation defines a function.
-{(-8, 2), (-8, 8), (1, -6), (4, 4), (10, 1)}

Accepted Answer

A)  Not a function 
B)  Function 
A)  Not a function 
B)  Function

Question 11

Solve the problem.
-Suppose a life insurance policy costs $20 for the first unit of coverage and then $5 for each additional unit of coverage. Let C(x) be the cost for insurance of x units of coverage. What will 10
Units of coverage cost?

Accepted Answer

A)  $30 
B)  $50 
C)  $65 
D)  $70 
A)  $30 
B)  $50 
C)  $65 
D)  $70

Question 12

Provide an appropriate response.
-If the point $( a , b )$ is in the fourth quadrant, in what quadrant is $( b , a )$ ?

Accepted Answer

A)  I 
B)  II 
C)  IV 
D)  III 
A)  I 
B)  II 
C)  IV 
D)  III

Question 13

A new chocolate company is estimating how many candy bars per week college students will consume of their line of
products. The graph shows the probable number of candy bars students (age 18 -22) will consume from year 0 to year 10.
B(x) gives the number of candy bars for boys, G(x) gives the number of candy bars for girls, and T(x) gives the total
number for both groups. Use the graph to answer the question.  
-Estimate B(7) and G(7) and use your estimates to estimate T(7).

Accepted Answer

A)  2.3; 4.0; 6.3 
B)  3.5; 4.2; 7.7 
C)  2.5; 4.0; 6.5 
D)  2.2; 4.3; 6.5 
A)  2.3; 4.0; 6.3 
B)  3.5; 4.2; 7.7 
C)  2.5; 4.0; 6.5 
D)  2.2; 4.3; 6.5

Question 14

Solve the problem. Write all linear equations in slope-intercept form.
-A company can make 10 airplane engines for $\$ 123,400$, while 25 airplane engines cost $\$ 133,000$. Find a linear equation that models the cost to produce $x$ airplane engines.

Accepted Answer

A)  $y = x + 9600$ 
B)  $y = 640 x - 117,000$ 
C)  $y = 640 x + 117,000$ 
D)  $y = 15 x + 9600$ 
A)  $y = x + 9600$ 
B)  $y = 640 x - 117,000$ 
C)  $y = 640 x + 117,000$ 
D)  $y = 15 x + 9600$

Question 15

Determine whether the three points are the vertices of a right triangle.
-(-13, 13), (-2, 2), (0, 4)

Accepted Answer

A)  Yes 
B)  No 
A)  Yes 
B)  No

Question 16

Find the requested value.
-Using the given tables, find $( f \cdot f ) ( 9 )$

Accepted Answer

A)  49 
B)  23 
C)  9 
D)  19 
A)  49 
B)  23 
C)  9 
D)  19

Question 17

Graph the line and give the domain and the range.
-$x=-6$

Accepted Answer

A)  $\mathrm { D } = \{ - 6 \} , \quad \mathrm { R } = ( - \infty , \infty )$
  
B)  $\mathrm { D } = ( - \infty , \infty ) , \mathrm { R } = \{ - 6 \}$
  
C)  $\mathrm { D } = \{ - 6 \} , \mathrm { R } = ( - \infty , \infty )$
  
D)  $D=(-\infty, \infty), R=\{-6\}$
  
A)  $\mathrm { D } = \{ - 6 \} , \quad \mathrm { R } = ( - \infty , \infty )$
  
B)  $\mathrm { D } = ( - \infty , \infty ) , \mathrm { R } = \{ - 6 \}$
  
C)  $\mathrm { D } = \{ - 6 \} , \mathrm { R } = ( - \infty , \infty )$
  
D)  $D=(-\infty, \infty), R=\{-6\}$

Question 18

Write an equation for the line described. Give your answer in standard form.
-through $( 0,4 ) , \mathrm { m } = \frac { 2 } { 5 }$

Accepted Answer

A)  $2 x + 5 y = - 20$ 
B)  $2 x - 5 y = - 20$ 
C)  $5 x - 2 y = - 20$ 
D)  $2 x - 5 y = 20$ 
A)  $2 x + 5 y = - 20$ 
B)  $2 x - 5 y = - 20$ 
C)  $5 x - 2 y = - 20$ 
D)  $2 x - 5 y = 20$

Question 19

For the given functions f and g , find the indicated composition.
-$f ( x ) = 4 x ^ { 2 } + 2 x + 3 , \quad g ( x ) = 2 x - 4$ $( g \cdot f ) ( x )$

Accepted Answer

A)  $4 x ^ { 2 } + 2 x - 1$ 
B)  $8 x ^ { 2 } + 4 x + 10$ 
C)  $8 x ^ { 2 } + 4 x + 2$ 
D)  $4 x ^ { 2 } + 4 x + 2$ 
A)  $4 x ^ { 2 } + 2 x - 1$ 
B)  $8 x ^ { 2 } + 4 x + 10$ 
C)  $8 x ^ { 2 } + 4 x + 2$ 
D)  $4 x ^ { 2 } + 4 x + 2$

Question 20

Write an equation for the line described. Write the equation in the form specified.
-perpendicular to -6x + y = 9, through (2, 5); slope-intercept form

Accepted Answer

A)  $y = - \frac { 1 } { 6 } x - \frac { 16 } { 3 }$ 
B)  $y = - \frac { 1 } { 6 } x + \frac { 16 } { 3 }$ 
C)  $y = - 6 x - 32$ 
D)  $y = \frac { 1 } { 6 } x - \frac { 16 } { 3 }$ 
A)  $y = - \frac { 1 } { 6 } x - \frac { 16 } { 3 }$ 
B)  $y = - \frac { 1 } { 6 } x + \frac { 16 } { 3 }$ 
C)  $y = - 6 x - 32$ 
D)  $y = \frac { 1 } { 6 } x - \frac { 16 } { 3 }$

Provide an appropriate response. -If the point (a, b) is in the fourth quadrant, in what quadrant is (a, -b)?

Find the requested value. - $f ( - 6 )$ for $f ( x ) = \left\{ \begin{array} { l l } 2 x , & \text { if } x \leq - 1 \\ x - 8 , & \text { if } x > - 1 \end{array} \right.$

Decide whether or not the equation has a circle as its graph. If it does not, describe the graph. - $x ^ { 2 } + y ^ { 2 } - 10 x - 6 y + 211 = 0$

Determine if the function is even, odd, or neither. - $f ( x ) = - 5 x ^ { 3 } + 3 x$

Graph the function. - $y=x^{2}+1$ $Graph the function. - y=x^{2}+1$

The graph of a linear function f is shown. Write the equation that defines f. Write the equation in slope -intercept form. -

An equation that defines y as a function of x is given. Solve for y in terms of x, and replace y with the function notation f(x). - $5 x + 9 y = 19$

Give the domain and range of the relation. -

Solve the problem. -Find the equation of a circle with center at $( - 4,4 )$ , passing through the point $( 2,12 )$ . Write it in center-radius form.

Decide whether the relation defines a function. -{(-8, 2), (-8, 8), (1, -6), (4, 4), (10, 1)}

Solve the problem. -Suppose a life insurance policy costs $20 for the first unit of coverage and then $5 for each additional unit of coverage. Let C(x) be the cost for insurance of x units of coverage. What will 10 Units of coverage cost?

Provide an appropriate response. -If the point $( a , b )$ is in the fourth quadrant, in what quadrant is $( b , a )$ ?

Solve the problem. Write all linear equations in slope-intercept form. -A company can make 10 airplane engines for $\$ 123,400$ , while 25 airplane engines cost $\$ 133,000$ . Find a linear equation that models the cost to produce $x$ airplane engines.

Determine whether the three points are the vertices of a right triangle. -(-13, 13), (-2, 2), (0, 4)

Find the requested value. -Using the given tables, find $( f \cdot f ) ( 9 )$ $Find the requested value. -Using the given tables, find ( f \cdot f ) ( 9 )$

Graph the line and give the domain and the range. - $x=-6$

Write an equation for the line described. Give your answer in standard form. -through $( 0,4 ) , \mathrm { m } = \frac { 2 } { 5 }$

For the given functions f and g , find the indicated composition. - $f ( x ) = 4 x ^ { 2 } + 2 x + 3 , \quad g ( x ) = 2 x - 4$ $( g \cdot f ) ( x )$

Write an equation for the line described. Write the equation in the form specified. -perpendicular to -6x + y = 9, through (2, 5); slope-intercept form

Equations and Inequalities

Polynomial and Rational Functions

Inverse, Exponential, and Logarithmic Functions

Trigonometric Functions

The Circular Functions and Their Graphs

Trigonometric Identities and Equations

Applications of Trigonometry

Systems and Matrices

Analytic Geometry

Further Topics in Algebra

Review of Basic Concepts

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Exam 2: Graphs and Functions