Question 1

Find all complex zeros of the polynomial function, and write the polynomial in completely factored form.
-$$f ( x ) = x ^ { 3 } - x ^ { 2 } + 25 x - 25$$

Accepted Answer

A)  $f ( x ) = ( x - 1 ) ( x + 5 i ) ( x - 5 i )$ 
B)  $f ( x ) = ( x - 1 ) ( x + 1 ) ( x + 25 )$ 
C)  $f ( x ) = ( x - 1 ) ( x + 5 ) ( x - 5 )$ 
D)  $f ( x ) = ( x - 25 ) ( x + i ) ( x - i )$ 
A)  $f ( x ) = ( x - 1 ) ( x + 5 i ) ( x - 5 i )$ 
B)  $f ( x ) = ( x - 1 ) ( x + 1 ) ( x + 25 )$ 
C)  $f ( x ) = ( x - 1 ) ( x + 5 ) ( x - 5 )$ 
D)  $f ( x ) = ( x - 25 ) ( x + i ) ( x - i )$

Question 2

Find all complex zeros of the polynomial function, and write the polynomial in completely factored form.
-$$f ( x ) = x ^ { 4 } + 7 x ^ { 3 } + 21 x ^ { 2 } + 63 x + 108$$

Accepted Answer

A)  $f ( x ) = ( x - 4 ) ( x + 3 ) ( x - 3 ) ( x + 3 )$ 
B)  $f ( x ) = ( x - i \sqrt { 12 } ) ( x + i \sqrt { 12 } ) ( x - 3 ) ( x + 3 )$ 
C)  $f ( x ) = ( x - 1 ) ( x - 12 ) ( x - 3 i ) ( x + 3 i )$ 
D)  $f ( x ) = ( x + 4 ) ( x + 3 ) ( x - 3 i ) ( x + 3 i )$ 
A)  $f ( x ) = ( x - 4 ) ( x + 3 ) ( x - 3 ) ( x + 3 )$ 
B)  $f ( x ) = ( x - i \sqrt { 12 } ) ( x + i \sqrt { 12 } ) ( x - 3 ) ( x + 3 )$ 
C)  $f ( x ) = ( x - 1 ) ( x - 12 ) ( x - 3 i ) ( x + 3 i )$ 
D)  $f ( x ) = ( x + 4 ) ( x + 3 ) ( x - 3 i ) ( x + 3 i )$

Question 3

Find the vertical asymptotes, if any, of the graph of the rational function.
-$$f ( x ) = \frac { - 3 x ^ { 2 } } { x ^ { 2 } + 8 x - 48 }$$

Accepted Answer

A)  $y = - 3$ 
B)  $y = - 12 , y = 4$ 
C)  $y = 0$ 
D)  none 
A)  $y = - 3$ 
B)  $y = - 12 , y = 4$ 
C)  $y = 0$ 
D)  none

Question 4

Solve the variation problem.
-According to Ohm's law, the electric current I, in amperes, in a circuit varies directly as the voltage V. When 14 volts are applied, the current is 3 amperes. What is the current when 23 volts are applied?

Accepted Answer

A) 40 amperes 
B) 107.333333 amperes 
C) 4.67 amperes 
D) 4.93 amperes 
A) 40 amperes 
B) 107.333333 amperes 
C) 4.67 amperes 
D) 4.93 amperes

Question 5

Use the quadratic function to determine if the function has a maximum or minimum value and then find this maximum or minimum value.
-$$f ( x ) = x ^ { 2 } + 6 x + 3$$

Accepted Answer

A)  minimum at $( - 3 , - 6 )$ 
B)  minimum at $( 0 , - 3 )$ 
C)  maximum at $( - 6 , - 3 )$ 
D)  maximum at $( - 6,0 )$ 
A)  minimum at $( - 3 , - 6 )$ 
B)  minimum at $( 0 , - 3 )$ 
C)  maximum at $( - 6 , - 3 )$ 
D)  maximum at $( - 6,0 )$

Question 6

Use the end behavior of the graph of the polynomial function to determine whether the degree is even or odd and determine whether the leading coefficient is positive or negative.
-

Accepted Answer

A) even; negative 
B) odd; positive 
C) even; positive 
D) odd; negative 
A) even; negative 
B) odd; positive 
C) even; positive 
D) odd; negative

Question 7

For the following rational function, identify the coordinates of all removable discontinuities and sketch the graph. Identify all intercepts and find the equations of all asymptotes.
-$$f ( x ) = \frac { x } { x ^ { 2 } - 4 x }$$

Accepted Answer

A)  no removable discontinuities;
no $x$-intercept, no $y$-intercept; 
 asymptotes $x = - 4 x = 0 , y = 0$
  
B)  no removable discontinuities;
 no $\mathrm { x }$-intercept, no $\mathrm { y }$-intercept; 
asymptotes $x = 4 , x = 0 , y = 0$
  
C)  removable discontinuity at $\left( 0 , \frac { 1 } { 4 } \right) ; \quad$ 
no $x$-intercept, no $y$-intercept;
asymptote $x = - 4$
  
D)  removable discontinuity at $\left( 0 , - \frac { 1 } { 4 } \right) ;$ 
 no $x$-intercept, no $y$-intercept;
 asymptotes $x = 4 , y = 0$
  
A)  no removable discontinuities;
no $x$-intercept, no $y$-intercept; 
 asymptotes $x = - 4 x = 0 , y = 0$
  
B)  no removable discontinuities;
 no $\mathrm { x }$-intercept, no $\mathrm { y }$-intercept; 
asymptotes $x = 4 , x = 0 , y = 0$
  
C)  removable discontinuity at $\left( 0 , \frac { 1 } { 4 } \right) ; \quad$ 
no $x$-intercept, no $y$-intercept;
asymptote $x = - 4$
  
D)  removable discontinuity at $\left( 0 , - \frac { 1 } { 4 } \right) ;$ 
 no $x$-intercept, no $y$-intercept;
 asymptotes $x = 4 , y = 0$

Question 8

Use the graph of a power function and transformations to sketch the graph of the polynomial function.

-

Accepted Answer

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

Question 9

Form a polynomial f(x)with real coefficients having the given degree and zeros.
-Degree: 4 ; zeros: $- 1,2$, and $1 - 2 \mathrm { i }$.

Accepted Answer

A)  $f ( x ) = x ^ { 4 } - 3 x ^ { 3 } - 3 x ^ { 2 } + 7 x + 6$ 
B)  $f ( x ) = x ^ { 4 } - x ^ { 3 } + x ^ { 2 } + 9 x - 10$ 
C)  $f ( x ) = x ^ { 4 } - x ^ { 3 } + 3 x ^ { 2 } - 5 x - 10$ 
D)  $f ( x ) = x ^ { 4 } - 3 x ^ { 3 } + 5 x ^ { 2 } - x - 10$ 
A)  $f ( x ) = x ^ { 4 } - 3 x ^ { 3 } - 3 x ^ { 2 } + 7 x + 6$ 
B)  $f ( x ) = x ^ { 4 } - x ^ { 3 } + x ^ { 2 } + 9 x - 10$ 
C)  $f ( x ) = x ^ { 4 } - x ^ { 3 } + 3 x ^ { 2 } - 5 x - 10$ 
D)  $f ( x ) = x ^ { 4 } - 3 x ^ { 3 } + 5 x ^ { 2 } - x - 10$

Question 10

Use the intermediate value theorem to approximate the one real zero on the given interval. Round your answer to two
decimal places.
-$$f ( x ) = x ^ { 4 } - x ^ { 3 } - 7 x ^ { 2 } + 5 x + 10 ; [ - 3 , - 2 ]$$

Accepted Answer

A)  $- 2.45$ 
B)  $- 2.24$ 
C)  $2.24$ 
D)  $2.45$ 
A)  $- 2.45$ 
B)  $- 2.24$ 
C)  $2.24$ 
D)  $2.45$

Question 11

Solve the variation problem.
-The distance that an object falls when it is dropped is directly proportional to the square of the amount of time since it was dropped. An object falls 156.8 meters in 4 seconds. Find the distance the object falls in 5 seconds.

Accepted Answer

A) 20 meters 
B) 196 meters 
C) 49 meters 
D) 245 meters 
A) 20 meters 
B) 196 meters 
C) 49 meters 
D) 245 meters

Question 12

State whether the function is a polynomial function or not. If it is, give its degree.

-$$f ( x ) = 1 - \frac { 1 } { 5 } x$$

Accepted Answer

A) Yes; degree 1 
B) Yes; degree 5 
C) Not a polynomial 
D) Yes; degree 0 
A) Yes; degree 1 
B) Yes; degree 5 
C) Not a polynomial 
D) Yes; degree 0

Question 13

For the following rational function, identify the coordinates of all removable discontinuities and sketch the graph. Identify all intercepts and find the equations of all asymptotes.
-$$f ( x ) = \frac { x ^ { 2 } + x - 72 } { x ^ { 2 } - x - 56 }$$

Accepted Answer

A)  removable discontinuity at $ \left(8, \frac{17}{15}\right) $ 
$ x $-intercept: $ (-9,0), \mathrm{y} $-intercept: $ \left(0, \frac{9}{7}\right) $ 
asymptotes: $ \mathrm{x}=-7, \mathrm{y}=1 $
  
B)  no removable discontinuities; 
$ x $-intercept: $ (0,0) ; y $-intercept $ (0,0) $;
 asymptotes: $ x=-7, x=8, y=0 $
  
C) noremovable discontinuity at $ \left(8,-\frac{17}{15}\right) $ 
$ x $-intercept: $ (-9,0), y $-intercept: $ \left(0, \frac{9}{7}\right) $
 asymptotes: $ x=-7, y=-1 $
  
D)  no removable discontinuities; 
$ x $-intercept: $ (0,0) ; y $-intercept $ (0,0) $; 
asymptotes: $ x=-7, x=8, y=0 $
  
A)  removable discontinuity at $ \left(8, \frac{17}{15}\right) $ 
$ x $-intercept: $ (-9,0), \mathrm{y} $-intercept: $ \left(0, \frac{9}{7}\right) $ 
asymptotes: $ \mathrm{x}=-7, \mathrm{y}=1 $
  
B)  no removable discontinuities; 
$ x $-intercept: $ (0,0) ; y $-intercept $ (0,0) $;
 asymptotes: $ x=-7, x=8, y=0 $
  
C) noremovable discontinuity at $ \left(8,-\frac{17}{15}\right) $ 
$ x $-intercept: $ (-9,0), y $-intercept: $ \left(0, \frac{9}{7}\right) $
 asymptotes: $ x=-7, y=-1 $
  
D)  no removable discontinuities; 
$ x $-intercept: $ (0,0) ; y $-intercept $ (0,0) $; 
asymptotes: $ x=-7, x=8, y=0 $

Question 14

Graph the polynomial function.
-$$f ( x ) = x ^ { 4 } + 2 x ^ { 3 } - x ^ { 2 } - 2$$

Accepted Answer

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

Question 15

Find the vertical asymptotes, if any, of the graph of the rational function.
-$$f ( x ) = \frac { x - 4 } { x ^ { 2 } - 5 x + 6 }$$

Accepted Answer

A)  $x = - 4$ 
B)  $x = 2 , x = 3$ 
C)  $x = - 2 , x = - 3$ 
D)  $x = 2 , x = 3 , x = - 4$ 
A)  $x = - 4$ 
B)  $x = 2 , x = 3$ 
C)  $x = - 2 , x = - 3$ 
D)  $x = 2 , x = 3 , x = - 4$

Question 16

Find the remaining zeros of f(x)given that c is a zero. Then rewrite f(x)in completely factored form.
-$f ( x ) = 2 x ^ { 4 } - 7 x ^ { 3 } + 15 x ^ { 2 } - 35 x + 25 ; c = 1$ is a zero

Accepted Answer

A)  $- 5 , - 1 , \frac { 5 } { 2 } ; f ( x ) = ( x - 1 ) ^ { 2 } ( 2 x - 5 ) ( x + 5 )$ 
B)  $\frac { 5 } { 2 } ; f ( x ) = ( x - 1 ) ( 2 x - 5 ) \left( x ^ { 2 } + 5 \right)$ 
C)  $5 , \frac { 5 } { 2 } ; f ( x ) = ( x - 5 ) ( 2 x - 5 ) \left( x ^ { 2 } + 1 \right)$ 
D)  $- 5 , - 1 , - \frac { 5 } { 2 } ; f ( x ) = ( x - 1 ) ( 2 x + 5 ) ( x + 1 ) ( x + 5 )$ 
A)  $- 5 , - 1 , \frac { 5 } { 2 } ; f ( x ) = ( x - 1 ) ^ { 2 } ( 2 x - 5 ) ( x + 5 )$ 
B)  $\frac { 5 } { 2 } ; f ( x ) = ( x - 1 ) ( 2 x - 5 ) \left( x ^ { 2 } + 5 \right)$ 
C)  $5 , \frac { 5 } { 2 } ; f ( x ) = ( x - 5 ) ( 2 x - 5 ) \left( x ^ { 2 } + 1 \right)$ 
D)  $- 5 , - 1 , - \frac { 5 } { 2 } ; f ( x ) = ( x - 1 ) ( 2 x + 5 ) ( x + 1 ) ( x + 5 )$

Question 17

Solve the variation problem.
-The amount of simple interest earned on an investment over a fixed amount of time is jointly proportional to the principle invested and the interest rate. A principle investment of $1400.00 with an interest rate of 2% earned $140.00 in simple interest. Find the amount of simple interest earned if the principle is $3500.00 and the interest rate is 7%.

Accepted Answer

A) $490.00 
B) $350.00 
C) $122,500.00 
D) $1225.00 
A) $490.00 
B) $350.00 
C) $122,500.00 
D) $1225.00

Question 18

Solve the variation problem.
-The amount of water used to take a shower is directly proportional to the amount of time that the shower is in use. A shower lasting 22 minutes requires 15.4 gallons of water. Find the amount of water used in a shower lasting 4 minutes.

Accepted Answer

A) 3.5 gallons 
B) 2.8 gallons 
C) 2.1 gallons 
D) 88 gallons 
A) 3.5 gallons 
B) 2.8 gallons 
C) 2.1 gallons 
D) 88 gallons

Question 19

Solve the variation problem.
-The amount of paint needed to cover the walls of a room varies jointly as the perimeter of the room and the height of the wall. If a room with a perimeter of 40 feet and 8-foot walls requires 3.2 quarts of paint, find the amount of paint needed to cover the walls of a room with a perimeter of 45 feet and 8-foot walls.

Accepted Answer

A) 7.2 quarts 
B) 3.6 quarts 
C) 360 quarts 
D) 36 quarts 
A) 7.2 quarts 
B) 3.6 quarts 
C) 360 quarts 
D) 36 quarts

Question 20

Use the graph of a power function and transformations to sketch the graph of the polynomial function.

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

Accepted Answer

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

Find all complex zeros of the polynomial function, and write the polynomial in completely factored form. - $f ( x ) = x ^ { 3 } - x ^ { 2 } + 25 x - 25$

Find all complex zeros of the polynomial function, and write the polynomial in completely factored form. - $f ( x ) = x ^ { 4 } + 7 x ^ { 3 } + 21 x ^ { 2 } + 63 x + 108$

Find the vertical asymptotes, if any, of the graph of the rational function. - $f ( x ) = \frac { - 3 x ^ { 2 } } { x ^ { 2 } + 8 x - 48 }$

Solve the variation problem. -According to Ohm's law, the electric current I, in amperes, in a circuit varies directly as the voltage V. When 14 volts are applied, the current is 3 amperes. What is the current when 23 volts are applied?

Use the quadratic function to determine if the function has a maximum or minimum value and then find this maximum or minimum value. - $f ( x ) = x ^ { 2 } + 6 x + 3$

Use the end behavior of the graph of the polynomial function to determine whether the degree is even or odd and determine whether the leading coefficient is positive or negative. -

Use the graph of a power function and transformations to sketch the graph of the polynomial function. -

Form a polynomial f(x)with real coefficients having the given degree and zeros. -Degree: 4 ; zeros: $- 1,2$ , and $1 - 2 \mathrm { i }$ .

Use the intermediate value theorem to approximate the one real zero on the given interval. Round your answer to two decimal places. - $f ( x ) = x ^ { 4 } - x ^ { 3 } - 7 x ^ { 2 } + 5 x + 10 ; [ - 3 , - 2 ]$

Solve the variation problem. -The distance that an object falls when it is dropped is directly proportional to the square of the amount of time since it was dropped. An object falls 156.8 meters in 4 seconds. Find the distance the object falls in 5 seconds.

State whether the function is a polynomial function or not. If it is, give its degree. - $f ( x ) = 1 - \frac { 1 } { 5 } x$

Graph the polynomial function. - $f ( x ) = x ^ { 4 } + 2 x ^ { 3 } - x ^ { 2 } - 2$ $Graph the polynomial function. - f ( x ) = x ^ { 4 } + 2 x ^ { 3 } - x ^ { 2 } - 2$

Find the vertical asymptotes, if any, of the graph of the rational function. - $f ( x ) = \frac { x - 4 } { x ^ { 2 } - 5 x + 6 }$

Find the remaining zeros of f(x)given that c is a zero. Then rewrite f(x)in completely factored form. - $f ( x ) = 2 x ^ { 4 } - 7 x ^ { 3 } + 15 x ^ { 2 } - 35 x + 25 ; c = 1$ is a zero

Solve the variation problem. -The amount of water used to take a shower is directly proportional to the amount of time that the shower is in use. A shower lasting 22 minutes requires 15.4 gallons of water. Find the amount of water used in a shower lasting 4 minutes.

Use the graph of a power function and transformations to sketch the graph of the polynomial function. - $f ( x ) = ( x - 4 ) ^ { 4 }$ $Use the graph of a power function and transformations to sketch the graph of the polynomial function. - f ( x ) = ( x - 4 ) ^ { 4 }$

Equations, Inequalities, and Applications

The Rectangular Coordinate System, Lines, and Circles

Functions

Exponential and Logarithmic Functions and Equations

Conic Sections

Systems of Equations and Inequalities

Matrices

Sequences and Series; Counting and Probability

Math Exercises: Sets, Intervals, Absolute Value, and Properties

Filters

Exam 4: Polynomial and Rational Functions

Find all complex zeros of the polynomial function, and write the polynomial in completely factored form. - f(x)=x3−x2+25x−25f ( x ) = x ^ { 3 } - x ^ { 2 } + 25 x - 25f(x)=x3−x2+25x−25

Find all complex zeros of the polynomial function, and write the polynomial in completely factored form. - f(x)=x4+7x3+21x2+63x+108f ( x ) = x ^ { 4 } + 7 x ^ { 3 } + 21 x ^ { 2 } + 63 x + 108f(x)=x4+7x3+21x2+63x+108

Find the vertical asymptotes, if any, of the graph of the rational function. - f(x)=−3x2x2+8x−48f ( x ) = \frac { - 3 x ^ { 2 } } { x ^ { 2 } + 8 x - 48 }f(x)=x2+8x−48−3x2​

Solve the variation problem. -According to Ohm's law, the electric current I, in amperes, in a circuit varies directly as the voltage V. When 14 volts are applied, the current is 3 amperes. What is the current when 23 volts are applied?

Use the quadratic function to determine if the function has a maximum or minimum value and then find this maximum or minimum value. - f(x)=x2+6x+3f ( x ) = x ^ { 2 } + 6 x + 3f(x)=x2+6x+3

Use the end behavior of the graph of the polynomial function to determine whether the degree is even or odd and determine whether the leading coefficient is positive or negative. -

For the following rational function, identify the coordinates of all removable discontinuities and sketch the graph. Identify all intercepts and find the equations of all asymptotes. - f(x)=xx2−4xf ( x ) = \frac { x } { x ^ { 2 } - 4 x }f(x)=x2−4xx​

Use the graph of a power function and transformations to sketch the graph of the polynomial function. -

Form a polynomial f(x)with real coefficients having the given degree and zeros. -Degree: 4 ; zeros: −1,2- 1,2−1,2 , and 1−2i1 - 2 \mathrm { i }1−2i .

Use the intermediate value theorem to approximate the one real zero on the given interval. Round your answer to two decimal places. - f(x)=x4−x3−7x2+5x+10;[−3,−2]f ( x ) = x ^ { 4 } - x ^ { 3 } - 7 x ^ { 2 } + 5 x + 10 ; [ - 3 , - 2 ]f(x)=x4−x3−7x2+5x+10;[−3,−2]

Solve the variation problem. -The distance that an object falls when it is dropped is directly proportional to the square of the amount of time since it was dropped. An object falls 156.8 meters in 4 seconds. Find the distance the object falls in 5 seconds.

State whether the function is a polynomial function or not. If it is, give its degree. - f(x)=1−15xf ( x ) = 1 - \frac { 1 } { 5 } xf(x)=1−51​x

For the following rational function, identify the coordinates of all removable discontinuities and sketch the graph. Identify all intercepts and find the equations of all asymptotes. - f(x)=x2+x−72x2−x−56f ( x ) = \frac { x ^ { 2 } + x - 72 } { x ^ { 2 } - x - 56 }f(x)=x2−x−56x2+x−72​

Graph the polynomial function. - f(x)=x4+2x3−x2−2f ( x ) = x ^ { 4 } + 2 x ^ { 3 } - x ^ { 2 } - 2f(x)=x4+2x3−x2−2

Find the vertical asymptotes, if any, of the graph of the rational function. - f(x)=x−4x2−5x+6f ( x ) = \frac { x - 4 } { x ^ { 2 } - 5 x + 6 }f(x)=x2−5x+6x−4​

Find the remaining zeros of f(x)given that c is a zero. Then rewrite f(x)in completely factored form. - f(x)=2x4−7x3+15x2−35x+25;c=1f ( x ) = 2 x ^ { 4 } - 7 x ^ { 3 } + 15 x ^ { 2 } - 35 x + 25 ; c = 1f(x)=2x4−7x3+15x2−35x+25;c=1 is a zero

Solve the variation problem. -The amount of water used to take a shower is directly proportional to the amount of time that the shower is in use. A shower lasting 22 minutes requires 15.4 gallons of water. Find the amount of water used in a shower lasting 4 minutes.

Use the graph of a power function and transformations to sketch the graph of the polynomial function. - f(x)=(x−4)4f ( x ) = ( x - 4 ) ^ { 4 }f(x)=(x−4)4

Equations, Inequalities, and Applications

The Rectangular Coordinate System, Lines, and Circles

Functions

Exponential and Logarithmic Functions and Equations

Conic Sections

Systems of Equations and Inequalities

Matrices

Sequences and Series; Counting and Probability

Math Exercises: Sets, Intervals, Absolute Value, and Properties

Filters

Find all complex zeros of the polynomial function, and write the polynomial in completely factored form. - $f ( x ) = x ^ { 3 } - x ^ { 2 } + 25 x - 25$

Find all complex zeros of the polynomial function, and write the polynomial in completely factored form. - $f ( x ) = x ^ { 4 } + 7 x ^ { 3 } + 21 x ^ { 2 } + 63 x + 108$

Find the vertical asymptotes, if any, of the graph of the rational function. - $f ( x ) = \frac { - 3 x ^ { 2 } } { x ^ { 2 } + 8 x - 48 }$

Use the quadratic function to determine if the function has a maximum or minimum value and then find this maximum or minimum value. - $f ( x ) = x ^ { 2 } + 6 x + 3$

Form a polynomial f(x)with real coefficients having the given degree and zeros. -Degree: 4 ; zeros: $- 1,2$ , and $1 - 2 \mathrm { i }$ .

Use the intermediate value theorem to approximate the one real zero on the given interval. Round your answer to two decimal places. - $f ( x ) = x ^ { 4 } - x ^ { 3 } - 7 x ^ { 2 } + 5 x + 10 ; [ - 3 , - 2 ]$

State whether the function is a polynomial function or not. If it is, give its degree. - $f ( x ) = 1 - \frac { 1 } { 5 } x$

Graph the polynomial function. - $f ( x ) = x ^ { 4 } + 2 x ^ { 3 } - x ^ { 2 } - 2$ $Graph the polynomial function. - f ( x ) = x ^ { 4 } + 2 x ^ { 3 } - x ^ { 2 } - 2$

Find the vertical asymptotes, if any, of the graph of the rational function. - $f ( x ) = \frac { x - 4 } { x ^ { 2 } - 5 x + 6 }$

Find the remaining zeros of f(x)given that c is a zero. Then rewrite f(x)in completely factored form. - $f ( x ) = 2 x ^ { 4 } - 7 x ^ { 3 } + 15 x ^ { 2 } - 35 x + 25 ; c = 1$ is a zero

Use the graph of a power function and transformations to sketch the graph of the polynomial function. - $f ( x ) = ( x - 4 ) ^ { 4 }$ $Use the graph of a power function and transformations to sketch the graph of the polynomial function. - f ( x ) = ( x - 4 ) ^ { 4 }$