Question 1

Solve the inequality.
-$$\frac { x - 1 } { x + 4 } > 0$$

Accepted Answer

A)  $( - \infty , - 4 )$ 
B)  $( - 4,1 )$ 
C)  $( 1 , \infty )$ 
D)  $( - \infty , - 4 )$ or $( 1 , \infty )$ 
A)  $( - \infty , - 4 )$ 
B)  $( - 4,1 )$ 
C)  $( 1 , \infty )$ 
D)  $( - \infty , - 4 )$ or $( 1 , \infty )$

Question 2

Give the maximum number of zeros the polynomial function may have. Use Descarte's Rule of Signs to determine how
many positive and how many negative zeros it may have.
-$$f ( x ) = x ^ { 7 } + x ^ { 6 } + x ^ { 2 } + x + 8$$

Accepted Answer

A)  7 ; 0 positive zeros; 1 negative zero 
B)  7; 0 positive zeros; 2 or 0 negative zeros 
C)  $7 ; 0$ positive zeros; 3 or 1 negative zeros 
D)  7; 0 positive zeros; 0 negative zeros 
A)  7 ; 0 positive zeros; 1 negative zero 
B)  7; 0 positive zeros; 2 or 0 negative zeros 
C)  $7 ; 0$ positive zeros; 3 or 1 negative zeros 
D)  7; 0 positive zeros; 0 negative zeros

Question 3

Use the given zero to find the remaining zeros of the function.
-$$f ( x ) = 2 x ^ { 4 } - 17 x ^ { 3 } + 71 x ^ { 2 } - 153 x + 117 ; \text { zero: } 2 + 3 i$$

Accepted Answer

A)  $3 - 2 i , - 3 , - \frac { 3 } { 2 }$ 
B)  $2 - 3 \mathrm { i } , 3 , \frac { 3 } { 2 }$ 
C)  $3 - 2 i , 3 , - \frac { 3 } { 2 }$ 
D)  $2 - 3 \mathrm { i } , - 3 , \frac { 3 } { 2 }$ 
A)  $3 - 2 i , - 3 , - \frac { 3 } { 2 }$ 
B)  $2 - 3 \mathrm { i } , 3 , \frac { 3 } { 2 }$ 
C)  $3 - 2 i , 3 , - \frac { 3 } { 2 }$ 
D)  $2 - 3 \mathrm { i } , - 3 , \frac { 3 } { 2 }$

Question 4

Give the equation of the oblique asymptote, if any, of the function.
-$$f ( x ) = \frac { x ^ { 2 } - 6 } { 36 x - x ^ { 4 } }$$

Accepted Answer

A)  $y = 36 x$ 
B)  $y = 0$ 
C)  no oblique asymptote 
D)  $y = x - 6$ 
A)  $y = 36 x$ 
B)  $y = 0$ 
C)  no oblique asymptote 
D)  $y = x - 6$

Question 5

Use the given zero to find the remaining zeros of the function.
-$f ( x ) = x ^ { 5 } - 10 x ^ { 4 } + 42 x ^ { 3 } - 124 x ^ { 2 } + 297 x - 306$; zero: $3 i$

Accepted Answer

A)  $- 2 , - 3 i , - 4 - i , - 4 + i$ 
B)  $2 , - 3 i , - 4 - i , - 4 + i$ 
C)  $- 2 , - 3 i , 4 - i , 4 + i$ 
D)  $2 , - 3 \mathrm { i } , 4 - \mathrm { i } , 4 + \mathrm { i }$ 
A)  $- 2 , - 3 i , - 4 - i , - 4 + i$ 
B)  $2 , - 3 i , - 4 - i , - 4 + i$ 
C)  $- 2 , - 3 i , 4 - i , 4 + i$ 
D)  $2 , - 3 \mathrm { i } , 4 - \mathrm { i } , 4 + \mathrm { i }$

Question 6

Find the x- and y-intercepts of f.
-$$f ( x ) = ( x + 5 ) ( x - 4 ) ( x + 4 )$$

Accepted Answer

A)  $x$-intercepts: $- 5 , - 4,4 ; y$-intercept: 80 
B)  x-intercepts: $- 5 , - 4,4 ; y$-intercept: $- 80$ 
C)  x-intercepts: $- 4,4,5 ; y$-intercept: 80 
D)  x-intercepts: $- 4,4,5 ; y$-intercept: $- 80$ 
A)  $x$-intercepts: $- 5 , - 4,4 ; y$-intercept: 80 
B)  x-intercepts: $- 5 , - 4,4 ; y$-intercept: $- 80$ 
C)  x-intercepts: $- 4,4,5 ; y$-intercept: 80 
D)  x-intercepts: $- 4,4,5 ; y$-intercept: $- 80$

Question 7

Use the Factor Theorem to determine whether x - c is a factor of f(x).
-$f ( x ) = x ^ { 4 } + 12 x ^ { 3 } + 4 x ^ { 2 } + 43 x - 60 ; x + 12$

Accepted Answer

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

Question 8

Give the equation of the horizontal asymptote, if any, of the function.
-$$h ( x ) = \frac { 7 x ^ { 2 } - 5 x - 4 } { 8 x ^ { 2 } - 8 x + 9 }$$

Accepted Answer

A)  $y = 0$ 
B)  $y = \frac { 7 } { 8 }$ 
C)  $y = \frac { 5 } { 8 }$ 
D)  no horizontal asymptotes 
A)  $y = 0$ 
B)  $y = \frac { 7 } { 8 }$ 
C)  $y = \frac { 5 } { 8 }$ 
D)  no horizontal asymptotes

Question 9

Use transformations of the graph o to graph the function. $$y = x ^ { 4 } \text { or } y = x ^ { 5 }$$
-$$f ( x ) = 4 - ( x - 2 ) ^ { 5 }$$

Accepted Answer

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

Question 10

Use the Factor Theorem to determine whether x - c is a factor of f(x).
-$f ( x ) = x ^ { 3 } + 2 x ^ { 2 } - 6 x + 8 ; x - 4$

Accepted Answer

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

Question 11

Graph the function.
-$f(x)=\frac{2 x}{(x+3)(x-1)}$

Accepted Answer

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

Question 12

List the potential rational zeros of the polynomial function. Do not find the zeros.
-$$f ( x ) = - 2 x ^ { 3 } + 4 x ^ { 2 } - 3 x + 8$$

Accepted Answer

A)  $\pm \frac { 1 } { 2 } , \pm 1 , \pm 2 , \pm 4 , \pm 8$ 
B)  $\pm \frac { 1 } { 8 } , \pm \frac { 1 } { 4 } , \pm \frac { 1 } { 2 } , \pm 1 , \pm 2 , \pm 4 , \pm 8$ 
C)  $\pm \frac { 1 } { 2 } , \pm 1 , \pm 2 , \pm 4$ 
D)  $\pm \frac { 1 } { 4 } , \pm \frac { 1 } { 2 } , \pm 1 , \pm 2 , \pm 4 , \pm 8$ 
A)  $\pm \frac { 1 } { 2 } , \pm 1 , \pm 2 , \pm 4 , \pm 8$ 
B)  $\pm \frac { 1 } { 8 } , \pm \frac { 1 } { 4 } , \pm \frac { 1 } { 2 } , \pm 1 , \pm 2 , \pm 4 , \pm 8$ 
C)  $\pm \frac { 1 } { 2 } , \pm 1 , \pm 2 , \pm 4$ 
D)  $\pm \frac { 1 } { 4 } , \pm \frac { 1 } { 2 } , \pm 1 , \pm 2 , \pm 4 , \pm 8$

Question 13

Determine the maximum number of turning points of f.
-$$f ( x ) = - x ^ { 2 } ( x + 6 ) ^ { 3 } \left( x ^ { 2 } - 1 \right)$$

Accepted Answer

A)  7 
B)  2 
C)  5 
D)  6 
A)  7 
B)  2 
C)  5 
D)  6

Question 14

Form a polynomial whose zeros and degree are given. Use a leading coefficient of 1.
-Zeros: $- 5 , - 3,3$; degree 3

Accepted Answer

A)  $f ( x ) = x ^ { 3 } - 9 x - 5 x ^ { 2 } + 45$ 
B)  $f ( x ) = x ^ { 3 } + 9 x - 5 x ^ { 2 } - 45$ 
C)  $f ( x ) = x ^ { 3 } + 9 x + 5 x ^ { 2 } + 45$ 
D)  $f ( x ) = x ^ { 3 } - 9 x + 5 x ^ { 2 } - 45$ 
A)  $f ( x ) = x ^ { 3 } - 9 x - 5 x ^ { 2 } + 45$ 
B)  $f ( x ) = x ^ { 3 } + 9 x - 5 x ^ { 2 } - 45$ 
C)  $f ( x ) = x ^ { 3 } + 9 x + 5 x ^ { 2 } + 45$ 
D)  $f ( x ) = x ^ { 3 } - 9 x + 5 x ^ { 2 } - 45$

Question 15

Solve the inequality.
-$$\frac { ( x - 2 ) ^ { 2 } } { x ^ { 2 } - 9 } > 0$$

Accepted Answer

A)  $( - \infty , - 3 )$ or $( 3 , \infty )$ 
B)  $( - \infty , - 3 )$ or $( 2,3 )$ 
C)  $( - 3,2 )$ or $( 3 , \infty )$ 
D)  $( - 3,2 )$ or $( 2,3 )$ 
A)  $( - \infty , - 3 )$ or $( 3 , \infty )$ 
B)  $( - \infty , - 3 )$ or $( 2,3 )$ 
C)  $( - 3,2 )$ or $( 3 , \infty )$ 
D)  $( - 3,2 )$ or $( 2,3 )$

Question 16

Use transformations of the graph o to graph the function. $$y = x ^ { 4 } \text { or } y = x ^ { 5 }$$
-$f(x)=x^{4}-5$

Accepted Answer

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

Question 17

Give the equation of the horizontal asymptote, if any, of the function.
-$$h ( x ) = \frac { 9 x - 4 } { x - 4 }$$

Accepted Answer

A)  $y = 0$ 
B)  $y = 9$ 
C)  $y = 4$ 
D)  no horizontal asymptotes 
A)  $y = 0$ 
B)  $y = 9$ 
C)  $y = 4$ 
D)  no horizontal asymptotes

Question 18

Solve the equation in the real number system.
-$$2 x ^ { 3 } - x ^ { 2 } - 12 x + 6 = 0$$

Accepted Answer

A)  $\left\{ - \frac { 1 } { 2 } , \sqrt { 6 } , - \sqrt { 6 } \right\}$ 
B)  $\{ - 2 , \sqrt { 6 } , - \sqrt { 6 } \}$ 
C)  $\{ 2 , \sqrt { 6 } , - \sqrt { 6 } \}$ 
D)  $\left\{ \frac { 1 } { 2 } , \sqrt { 6 } , - \sqrt { 6 } \right\}$ 
A)  $\left\{ - \frac { 1 } { 2 } , \sqrt { 6 } , - \sqrt { 6 } \right\}$ 
B)  $\{ - 2 , \sqrt { 6 } , - \sqrt { 6 } \}$ 
C)  $\{ 2 , \sqrt { 6 } , - \sqrt { 6 } \}$ 
D)  $\left\{ \frac { 1 } { 2 } , \sqrt { 6 } , - \sqrt { 6 } \right\}$

Question 19

Find the indicated intercept(s) of the graph of the function.
-$y$-intercept of $f ( x ) = \frac { x - 5 } { 3 x - 3 }$

Accepted Answer

A)  $( 0,5 )$ 
B)  $\left( 0 , - \frac { 3 } { 5 } \right)$ 
C)  $\left( 0 , \frac { 5 } { 3 } \right)$ 
D)  none 
A)  $( 0,5 )$ 
B)  $\left( 0 , - \frac { 3 } { 5 } \right)$ 
C)  $\left( 0 , \frac { 5 } { 3 } \right)$ 
D)  none

Question 20

Graph the function using transformations.
-$$f ( x ) = 6 - \frac { 1 } { ( x + 3 ) ^ { 2 } }$$

Accepted Answer

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

Solve the inequality. - $\frac { x - 1 } { x + 4 } > 0$

Give the maximum number of zeros the polynomial function may have. Use Descarte's Rule of Signs to determine how many positive and how many negative zeros it may have. - $f ( x ) = x ^ { 7 } + x ^ { 6 } + x ^ { 2 } + x + 8$

Use the given zero to find the remaining zeros of the function. - $f ( x ) = 2 x ^ { 4 } - 17 x ^ { 3 } + 71 x ^ { 2 } - 153 x + 117 ; \text { zero: } 2 + 3 i$

Give the equation of the oblique asymptote, if any, of the function. - $f ( x ) = \frac { x ^ { 2 } - 6 } { 36 x - x ^ { 4 } }$

Use the given zero to find the remaining zeros of the function. - $f ( x ) = x ^ { 5 } - 10 x ^ { 4 } + 42 x ^ { 3 } - 124 x ^ { 2 } + 297 x - 306$ ; zero: $3 i$

Find the x- and y-intercepts of f. - $f ( x ) = ( x + 5 ) ( x - 4 ) ( x + 4 )$

Use the Factor Theorem to determine whether x - c is a factor of f(x). - $f ( x ) = x ^ { 4 } + 12 x ^ { 3 } + 4 x ^ { 2 } + 43 x - 60 ; x + 12$

Give the equation of the horizontal asymptote, if any, of the function. - $h ( x ) = \frac { 7 x ^ { 2 } - 5 x - 4 } { 8 x ^ { 2 } - 8 x + 9 }$

Use transformations of the graph o to graph the function. $y = x ^ { 4 } \text { or } y = x ^ { 5 }$ - $f ( x ) = 4 - ( x - 2 ) ^ { 5 }$ $Use transformations of the graph o to graph the function. y = x ^ { 4 } \text { or } y = x ^ { 5 } - f ( x ) = 4 - ( x - 2 ) ^ { 5 }$

Use the Factor Theorem to determine whether x - c is a factor of f(x). - $f ( x ) = x ^ { 3 } + 2 x ^ { 2 } - 6 x + 8 ; x - 4$

Graph the function. - $f(x)=\frac{2 x}{(x+3)(x-1)}$ $Graph the function. - f(x)=\frac{2 x}{(x+3)(x-1)}$

List the potential rational zeros of the polynomial function. Do not find the zeros. - $f ( x ) = - 2 x ^ { 3 } + 4 x ^ { 2 } - 3 x + 8$

Determine the maximum number of turning points of f. - $f ( x ) = - x ^ { 2 } ( x + 6 ) ^ { 3 } \left( x ^ { 2 } - 1 \right)$

Form a polynomial whose zeros and degree are given. Use a leading coefficient of 1. -Zeros: $- 5 , - 3,3$ ; degree 3

Solve the inequality. - $\frac { ( x - 2 ) ^ { 2 } } { x ^ { 2 } - 9 } > 0$

Use transformations of the graph o to graph the function. $y = x ^ { 4 } \text { or } y = x ^ { 5 }$ - $f(x)=x^{4}-5$ $Use transformations of the graph o to graph the function. y = x ^ { 4 } \text { or } y = x ^ { 5 } - f(x)=x^{4}-5$

Give the equation of the horizontal asymptote, if any, of the function. - $h ( x ) = \frac { 9 x - 4 } { x - 4 }$

Solve the equation in the real number system. - $2 x ^ { 3 } - x ^ { 2 } - 12 x + 6 = 0$

Find the indicated intercept(s) of the graph of the function. - $y$ -intercept of $f ( x ) = \frac { x - 5 } { 3 x - 3 }$

Graph the function using transformations. - $f ( x ) = 6 - \frac { 1 } { ( x + 3 ) ^ { 2 } }$ $Graph the function using transformations. - f ( x ) = 6 - \frac { 1 } { ( x + 3 ) ^ { 2 } }$

Functions and Their Graphs

Linear and Quadratic Functions

Exponential and Logarithmic Functions

Trigonometric Functions

Analytic Trigonometry

Applications of Trigonometric Functions

Polar Coordinates; Vectors

Analytic Geometry

Systems of Equations and Inequalities

Sequences; Induction; the Binomial Theorem

Counting and Probability

A Preview of Calculus: the Limit, Derivative, and Integral of a Function

Foundations: a Prelude to Functions

Graphing Utilities

Filters

Exam 3: Polynomial and Rational Functions

Solve the inequality. - x−1x+4>0\frac { x - 1 } { x + 4 } > 0x+4x−1​>0

Give the maximum number of zeros the polynomial function may have. Use Descarte's Rule of Signs to determine how many positive and how many negative zeros it may have. - f(x)=x7+x6+x2+x+8f ( x ) = x ^ { 7 } + x ^ { 6 } + x ^ { 2 } + x + 8f(x)=x7+x6+x2+x+8

Use the given zero to find the remaining zeros of the function. - f(x)=2x4−17x3+71x2−153x+117; zero: 2+3if ( x ) = 2 x ^ { 4 } - 17 x ^ { 3 } + 71 x ^ { 2 } - 153 x + 117 ; \text { zero: } 2 + 3 if(x)=2x4−17x3+71x2−153x+117; zero: 2+3i

Give the equation of the oblique asymptote, if any, of the function. - f(x)=x2−636x−x4f ( x ) = \frac { x ^ { 2 } - 6 } { 36 x - x ^ { 4 } }f(x)=36x−x4x2−6​

Use the given zero to find the remaining zeros of the function. - f(x)=x5−10x4+42x3−124x2+297x−306f ( x ) = x ^ { 5 } - 10 x ^ { 4 } + 42 x ^ { 3 } - 124 x ^ { 2 } + 297 x - 306f(x)=x5−10x4+42x3−124x2+297x−306 ; zero: 3i3 i3i

Find the x- and y-intercepts of f. - f(x)=(x+5)(x−4)(x+4)f ( x ) = ( x + 5 ) ( x - 4 ) ( x + 4 )f(x)=(x+5)(x−4)(x+4)

Use the Factor Theorem to determine whether x - c is a factor of f(x). - f(x)=x4+12x3+4x2+43x−60;x+12f ( x ) = x ^ { 4 } + 12 x ^ { 3 } + 4 x ^ { 2 } + 43 x - 60 ; x + 12f(x)=x4+12x3+4x2+43x−60;x+12

Give the equation of the horizontal asymptote, if any, of the function. - h(x)=7x2−5x−48x2−8x+9h ( x ) = \frac { 7 x ^ { 2 } - 5 x - 4 } { 8 x ^ { 2 } - 8 x + 9 }h(x)=8x2−8x+97x2−5x−4​

Use transformations of the graph o to graph the function. y=x4 or y=x5y = x ^ { 4 } \text { or } y = x ^ { 5 }y=x4 or y=x5 - f(x)=4−(x−2)5f ( x ) = 4 - ( x - 2 ) ^ { 5 }f(x)=4−(x−2)5

Use the Factor Theorem to determine whether x - c is a factor of f(x). - f(x)=x3+2x2−6x+8;x−4f ( x ) = x ^ { 3 } + 2 x ^ { 2 } - 6 x + 8 ; x - 4f(x)=x3+2x2−6x+8;x−4

Graph the function. - f(x)=2x(x+3)(x−1)f(x)=\frac{2 x}{(x+3)(x-1)}f(x)=(x+3)(x−1)2x​

List the potential rational zeros of the polynomial function. Do not find the zeros. - f(x)=−2x3+4x2−3x+8f ( x ) = - 2 x ^ { 3 } + 4 x ^ { 2 } - 3 x + 8f(x)=−2x3+4x2−3x+8

Determine the maximum number of turning points of f. - f(x)=−x2(x+6)3(x2−1)f ( x ) = - x ^ { 2 } ( x + 6 ) ^ { 3 } \left( x ^ { 2 } - 1 \right)f(x)=−x2(x+6)3(x2−1)

Form a polynomial whose zeros and degree are given. Use a leading coefficient of 1. -Zeros: −5,−3,3- 5 , - 3,3−5,−3,3 ; degree 3

Solve the inequality. - (x−2)2x2−9>0\frac { ( x - 2 ) ^ { 2 } } { x ^ { 2 } - 9 } > 0x2−9(x−2)2​>0

Use transformations of the graph o to graph the function. y=x4 or y=x5y = x ^ { 4 } \text { or } y = x ^ { 5 }y=x4 or y=x5 - f(x)=x4−5f(x)=x^{4}-5f(x)=x4−5

Give the equation of the horizontal asymptote, if any, of the function. - h(x)=9x−4x−4h ( x ) = \frac { 9 x - 4 } { x - 4 }h(x)=x−49x−4​

Solve the equation in the real number system. - 2x3−x2−12x+6=02 x ^ { 3 } - x ^ { 2 } - 12 x + 6 = 02x3−x2−12x+6=0

Find the indicated intercept(s) of the graph of the function. - yyy -intercept of f(x)=x−53x−3f ( x ) = \frac { x - 5 } { 3 x - 3 }f(x)=3x−3x−5​

Graph the function using transformations. - f(x)=6−1(x+3)2f ( x ) = 6 - \frac { 1 } { ( x + 3 ) ^ { 2 } }f(x)=6−(x+3)21​

Functions and Their Graphs

Linear and Quadratic Functions

Exponential and Logarithmic Functions

Trigonometric Functions

Analytic Trigonometry

Applications of Trigonometric Functions

Polar Coordinates; Vectors

Analytic Geometry

Systems of Equations and Inequalities

Sequences; Induction; the Binomial Theorem

Counting and Probability

A Preview of Calculus: the Limit, Derivative, and Integral of a Function

Foundations: a Prelude to Functions

Graphing Utilities

Filters

Solve the inequality. - $\frac { x - 1 } { x + 4 } > 0$

Give the maximum number of zeros the polynomial function may have. Use Descarte's Rule of Signs to determine how many positive and how many negative zeros it may have. - $f ( x ) = x ^ { 7 } + x ^ { 6 } + x ^ { 2 } + x + 8$

Use the given zero to find the remaining zeros of the function. - $f ( x ) = 2 x ^ { 4 } - 17 x ^ { 3 } + 71 x ^ { 2 } - 153 x + 117 ; \text { zero: } 2 + 3 i$

Give the equation of the oblique asymptote, if any, of the function. - $f ( x ) = \frac { x ^ { 2 } - 6 } { 36 x - x ^ { 4 } }$

Use the given zero to find the remaining zeros of the function. - $f ( x ) = x ^ { 5 } - 10 x ^ { 4 } + 42 x ^ { 3 } - 124 x ^ { 2 } + 297 x - 306$ ; zero: $3 i$

Find the x- and y-intercepts of f. - $f ( x ) = ( x + 5 ) ( x - 4 ) ( x + 4 )$

Use the Factor Theorem to determine whether x - c is a factor of f(x). - $f ( x ) = x ^ { 4 } + 12 x ^ { 3 } + 4 x ^ { 2 } + 43 x - 60 ; x + 12$

Give the equation of the horizontal asymptote, if any, of the function. - $h ( x ) = \frac { 7 x ^ { 2 } - 5 x - 4 } { 8 x ^ { 2 } - 8 x + 9 }$

Use transformations of the graph o to graph the function. $y = x ^ { 4 } \text { or } y = x ^ { 5 }$ - $f ( x ) = 4 - ( x - 2 ) ^ { 5 }$ $Use transformations of the graph o to graph the function. y = x ^ { 4 } \text { or } y = x ^ { 5 } - f ( x ) = 4 - ( x - 2 ) ^ { 5 }$

Use the Factor Theorem to determine whether x - c is a factor of f(x). - $f ( x ) = x ^ { 3 } + 2 x ^ { 2 } - 6 x + 8 ; x - 4$

Graph the function. - $f(x)=\frac{2 x}{(x+3)(x-1)}$ $Graph the function. - f(x)=\frac{2 x}{(x+3)(x-1)}$

List the potential rational zeros of the polynomial function. Do not find the zeros. - $f ( x ) = - 2 x ^ { 3 } + 4 x ^ { 2 } - 3 x + 8$

Determine the maximum number of turning points of f. - $f ( x ) = - x ^ { 2 } ( x + 6 ) ^ { 3 } \left( x ^ { 2 } - 1 \right)$

Form a polynomial whose zeros and degree are given. Use a leading coefficient of 1. -Zeros: $- 5 , - 3,3$ ; degree 3

Solve the inequality. - $\frac { ( x - 2 ) ^ { 2 } } { x ^ { 2 } - 9 } > 0$

Use transformations of the graph o to graph the function. $y = x ^ { 4 } \text { or } y = x ^ { 5 }$ - $f(x)=x^{4}-5$ $Use transformations of the graph o to graph the function. y = x ^ { 4 } \text { or } y = x ^ { 5 } - f(x)=x^{4}-5$

Give the equation of the horizontal asymptote, if any, of the function. - $h ( x ) = \frac { 9 x - 4 } { x - 4 }$

Solve the equation in the real number system. - $2 x ^ { 3 } - x ^ { 2 } - 12 x + 6 = 0$

Find the indicated intercept(s) of the graph of the function. - $y$ -intercept of $f ( x ) = \frac { x - 5 } { 3 x - 3 }$

Graph the function using transformations. - $f ( x ) = 6 - \frac { 1 } { ( x + 3 ) ^ { 2 } }$ $Graph the function using transformations. - f ( x ) = 6 - \frac { 1 } { ( x + 3 ) ^ { 2 } }$