Question 1

Use the graph of y = f (x) below to graph y = f (-x)
-

Accepted Answer

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

Question 2

Choose the one alternative that best completes the statement or answers the question.
-The number of accidents in 1 month involving drivers x years of age in a certain country can be approximated by the function $$f ( x ) = 3 x ^ { 2 } - 150 x + 2,000$$ Find the number of accidents in 1 month that involved 47-year olds.

Accepted Answer

A)  2,000 
B)  1,577 
C)  6,627 
D)  7,191 
A)  2,000 
B)  1,577 
C)  6,627 
D)  7,191

Question 3

Find the average slope of the ramp.
-

Accepted Answer

A)  $m = \frac { 1 } { 4 }$ 
B)  $m = - 4$ 
C)  $m = - \frac { 1 } { 4 }$ 
D)  $m = 4$ 
A)  $m = \frac { 1 } { 4 }$ 
B)  $m = - 4$ 
C)  $m = - \frac { 1 } { 4 }$ 
D)  $m = 4$

Question 4

Write the word or phrase that best completes each statement or answers the question.
Provide the missing information.
-The graph of $y = - f ( x )$ is the graph of $y = f ( x )$ reflected across the  ـــــــــــــaxis.

Accepted Answer

The answer of Write the word or phrase that best...

Question 5

Use the slope-intercept form to write an equation of the line that passes through the given point and has
the given slope. Use function notation where y = f(x).
-$$( 9 , - 3 ) ; m = 0$$

Accepted Answer

A)  $f ( x ) = 0$ 
B)  $f ( x ) = - 3$ 
C)  $f ( x ) = 9$ 
D)  $f ( x ) = 9 x$ 
A)  $f ( x ) = 0$ 
B)  $f ( x ) = - 3$ 
C)  $f ( x ) = 9$ 
D)  $f ( x ) = 9 x$

Question 6

Find $\frac { f ( x + h ) - f ( x ) } { h }$ for the given function.
-$$f ( x ) = x ^ { 3 } - 11$$

Accepted Answer

A)  $3 x ^ { 2 } + 3 x + h ^ { 2 }$ 
B)  $3 x ^ { 2 } + 3 x h + h ^ { 2 } - 22$ 
C)  $3 x ^ { 2 } + 3 x h + h ^ { 2 }$ 
D)  $3 x ^ { 2 } + 3 x + h ^ { 2 } - 22$ 
A)  $3 x ^ { 2 } + 3 x + h ^ { 2 }$ 
B)  $3 x ^ { 2 } + 3 x h + h ^ { 2 } - 22$ 
C)  $3 x ^ { 2 } + 3 x h + h ^ { 2 }$ 
D)  $3 x ^ { 2 } + 3 x + h ^ { 2 } - 22$

Question 7

Find the indicated function and write its domain in interval notation.
-$$s ( x ) = \frac { x - 4 } { x ^ { 2 } - 36 } , t ( x ) = \frac { x - 6 } { 4 - x } , \left( \frac { s } { t } \right) ( x ) = ?$$

Accepted Answer

A)  $- \frac { ( x - 4 ) ^ { 2 } } { ( x - 6 ) ^ { 2 } ( x + 6 ) } ; ( - \infty , - 6 ) \cup ( - 6,4 ) \cup ( 4,6 ) \cup ( 6 , \infty )$ 
B)  $- \frac { 1 } { x + 6 } ; ( - \infty , - 6 ) \cup ( - 6 , \infty )$ 
C)  $- \frac { ( x - 4 ) ^ { 2 } } { ( x - 6 ) ^ { 2 } ( x + 6 ) } ; ( - \infty , - 6 ) \cup ( 6 , \infty )$ 
D)  $- \frac { 1 } { x + 6 } ; ( - \infty , - 6 ) \cup ( - 6,4 ) \cup ( 4,6 ) \cup ( 6 , \infty )$ 
A)  $- \frac { ( x - 4 ) ^ { 2 } } { ( x - 6 ) ^ { 2 } ( x + 6 ) } ; ( - \infty , - 6 ) \cup ( - 6,4 ) \cup ( 4,6 ) \cup ( 6 , \infty )$ 
B)  $- \frac { 1 } { x + 6 } ; ( - \infty , - 6 ) \cup ( - 6 , \infty )$ 
C)  $- \frac { ( x - 4 ) ^ { 2 } } { ( x - 6 ) ^ { 2 } ( x + 6 ) } ; ( - \infty , - 6 ) \cup ( 6 , \infty )$ 
D)  $- \frac { 1 } { x + 6 } ; ( - \infty , - 6 ) \cup ( - 6,4 ) \cup ( 4,6 ) \cup ( 6 , \infty )$

Question 8

Find the slope of the ramp pictured below.
-

Accepted Answer

A)  88 
B)  $- 88$ 
C)  $\frac { 25 } { 3 }$ 
D)  $\frac { 3 } { 25 }$ 
A)  88 
B)  $- 88$ 
C)  $\frac { 25 } { 3 }$ 
D)  $\frac { 3 } { 25 }$

Question 9

The x- and y-axes divide the coordinate plane into four regions called________ .

Accepted Answer

The answer of The x- and y-axes divide the coordinate...

Question 10

Solve the problem.
-Given $f ( x ) = \left| - 5 x ^ { 3 } + 8 \right|$, define $m , n , h$, and $k$ such that $f ( x ) = ( m \circ n \circ h \circ k ) ( x )$.

Accepted Answer

A)  $m ( x ) = | x | , n ( x ) = x + 8 , h ( x ) = - 5 x , k ( x ) = x ^ { 3 }$ 
B)  $m ( x ) = | x | , n ( x ) = x + 8 , h ( x ) = x ^ { 3 } , k ( x ) = - 5 x$ 
C)  $m ( x ) = x ^ { 3 } , n ( x ) = - 5 x , h ( x ) = x + 8 , k ( x ) = | x |$ 
D)  $m ( x ) = x ^ { 3 } , n ( x ) = x + 8 , h ( x ) = - 5 x , k ( x ) = | x |$ 
A)  $m ( x ) = | x | , n ( x ) = x + 8 , h ( x ) = - 5 x , k ( x ) = x ^ { 3 }$ 
B)  $m ( x ) = | x | , n ( x ) = x + 8 , h ( x ) = x ^ { 3 } , k ( x ) = - 5 x$ 
C)  $m ( x ) = x ^ { 3 } , n ( x ) = - 5 x , h ( x ) = x + 8 , k ( x ) = | x |$ 
D)  $m ( x ) = x ^ { 3 } , n ( x ) = x + 8 , h ( x ) = - 5 x , k ( x ) = | x |$

Question 11

Determine if the function is linear, constant, or neither.
-$f ( x ) = \frac { 5 } { 3 }$

Accepted Answer

A)  constant 
B)  neither 
C)  linear 
A)  constant 
B)  neither 
C)  linear

Question 12

Choose the one alternative that best completes the statement or answers the question.
Graph the equation and identify the x- and y-intercepts.
-$$5 x + 4 = 24$$

Accepted Answer

A)  $x$-intercept: $( - 4,0 ) ; y$-intercept: none
  
B)  $x$-intercept: $( 4,0 ) ; y$-intercept: none
  
C)  $x$-intercept: none; $y$-intercept: $( 0,4 )$
  
D)  $x$-intercept: none; $y$-intercept: $( 0 , - 4 )$
  
A)  $x$-intercept: $( - 4,0 ) ; y$-intercept: none
  
B)  $x$-intercept: $( 4,0 ) ; y$-intercept: none
  
C)  $x$-intercept: none; $y$-intercept: $( 0,4 )$
  
D)  $x$-intercept: none; $y$-intercept: $( 0 , - 4 )$

Question 13

Determine if the function is odd, even, or neither.
-$f ( x ) = \frac { - \sqrt [ 3 ] { x } } { 8 x ^ { 2 } }$

Accepted Answer

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

Question 14

Solve the problem.
-If $m$ is one-sixth of $n$, and $p$ is five less than $m$, write $p$ as a function of $n$.

Accepted Answer

A)  $p ( n ) = \frac { 1 } { 6 } ( n - 5 )$ 
B)  $p ( n ) = 5 n - \frac { 1 } { 6 }$ 
C)  $p ( n ) = \frac { 1 } { 6 } n - 5$ 
D)  $p ( n ) = n - \frac { 5 } { 6 }$ 
A)  $p ( n ) = \frac { 1 } { 6 } ( n - 5 )$ 
B)  $p ( n ) = 5 n - \frac { 1 } { 6 }$ 
C)  $p ( n ) = \frac { 1 } { 6 } n - 5$ 
D)  $p ( n ) = n - \frac { 5 } { 6 }$

Question 15

Find the indicated function and write its domain in interval notation.
-$$n ( x ) = x - 5 , p ( x ) = x ^ { 2 } + 6 x , ( p \circ n ) ( x ) = \text { ? }$$

Accepted Answer

A)  $( p \circ n ) ( x ) = x ^ { 2 } - 4 x - 5$; domain $( - \infty , - 6 ) \cup ( - 6 , \infty )$ 
B)  $( p \circ n ) ( x ) = x ^ { 2 } + 6 x - 5$; domain $( - \infty , \infty )$ 
C)  $( p \circ n ) ( x ) = x ^ { 2 } + 6 x - 5 ;$ domain $[ 0 , \infty )$ 
D)  $( p \circ n ) ( x ) = x ^ { 2 } - 4 x - 5$; domain $( - \infty , \infty )$ 
A)  $( p \circ n ) ( x ) = x ^ { 2 } - 4 x - 5$; domain $( - \infty , - 6 ) \cup ( - 6 , \infty )$ 
B)  $( p \circ n ) ( x ) = x ^ { 2 } + 6 x - 5$; domain $( - \infty , \infty )$ 
C)  $( p \circ n ) ( x ) = x ^ { 2 } + 6 x - 5 ;$ domain $[ 0 , \infty )$ 
D)  $( p \circ n ) ( x ) = x ^ { 2 } - 4 x - 5$; domain $( - \infty , \infty )$

Question 16

Solve the problem.
-A student decides to finance a used car over a 5-yr (60-month) period. After making a down payment of $\$ 5,000$, the remaining cost of the car including tax and interest is $\$ 13,140$. The amount owed $y = A ( t )$ (in \$) is given by $A ( t ) = 13,140 - 219 t$, where $t$ is the number of months after purchase and $0 \leq t \leq 60$. Determine the $t$-intercept and $y$-intercept.
Amount Owed on Vehicles after $t$ Months

Accepted Answer

A)  $t$-intercept: $( 0,60 ) ; y$-intercept: $( 13,140,0 )$ 
B)  $t$-intercept: $( 60,0 ) ; y$-intercept: $( 0,13,140 )$ 
C)  $t$-intercept: $( 13,140,0 ) ; y$-intercept: $( 0,60 )$ 
D)  $t$-intercept: $( 0,13,140 ) ; y$-intercept: $( 60,0 )$ 
A)  $t$-intercept: $( 0,60 ) ; y$-intercept: $( 13,140,0 )$ 
B)  $t$-intercept: $( 60,0 ) ; y$-intercept: $( 0,13,140 )$ 
C)  $t$-intercept: $( 13,140,0 ) ; y$-intercept: $( 0,60 )$ 
D)  $t$-intercept: $( 0,13,140 ) ; y$-intercept: $( 60,0 )$

Question 17

Solve the problem.
-The graph shows the height h (in meters) of a roller coaster t seconds after the ride starts.  
a. Over what interval(s) does the height increase?
b. Over what interval(s) does the height decrease?

Accepted Answer

A)  a. $( 10,20 )$ and $( 30,40 )$
b. $( 50,70 )$ 
B)  a. $( 10,50 )$
b. $( 50,70 )$ 
C)  a. $( 50,70 )$
b. $( 10,50 )$ 
D)  a. $( 0,10 )$ and $( 30,50 )$
b. $( 10,20 )$ and $( 50,70 )$ 
A)  a. $( 10,20 )$ and $( 30,40 )$
b. $( 50,70 )$ 
B)  a. $( 10,50 )$
b. $( 50,70 )$ 
C)  a. $( 50,70 )$
b. $( 10,50 )$ 
D)  a. $( 0,10 )$ and $( 30,50 )$
b. $( 10,20 )$ and $( 50,70 )$

Question 18

Choose the one alternative that best completes the statement or answers the question.
From memory match each equation with its graph.
-$f(x)=\sqrt{x} \quad g(x)=\frac{1}{x} \quad h(x)=x^{2}$
I 
 
II
 
III

Accepted Answer

A)  $f ( x ) , \mathrm { III } ; g ( x )$, II; $h ( x ) , \mathrm { I }$ 
B)  $f ( x ) , \mathrm { III } ; g ( x ) , \mathrm { I } ; h ( x ) , \mathrm { II }$ 
C)  $f ( x )$, II; $g ( x )$, III; $h ( x )$, I 
D)  $f ( x ) , \mathrm { I } ; g ( x )$, III; $h ( x ) , \mathrm { II }$ 
A)  $f ( x ) , \mathrm { III } ; g ( x )$, II; $h ( x ) , \mathrm { I }$ 
B)  $f ( x ) , \mathrm { III } ; g ( x ) , \mathrm { I } ; h ( x ) , \mathrm { II }$ 
C)  $f ( x )$, II; $g ( x )$, III; $h ( x )$, I 
D)  $f ( x ) , \mathrm { I } ; g ( x )$, III; $h ( x ) , \mathrm { II }$

Question 19

Evaluate the function for the given value of x.
-$$f ( x ) = 8 x , g ( x ) = - 5 x ^ { 2 } - 5 , ( g + f ) ( x ) = \text { ? }$$

Accepted Answer

A)  $( g + f ) ( x ) = - 5 x ^ { 2 } - 8 x + 5$ 
B)  $( g + f ) ( x ) = - 5 x ^ { 2 } + 8 x - 5$ 
C)  $( g + f ) ( x ) = - 5 x ^ { 2 } - 8 x - 5$ 
D)  $( g + f ) ( x ) = - 5 x ^ { 2 } + 8 x + 5$ 
A)  $( g + f ) ( x ) = - 5 x ^ { 2 } - 8 x + 5$ 
B)  $( g + f ) ( x ) = - 5 x ^ { 2 } + 8 x - 5$ 
C)  $( g + f ) ( x ) = - 5 x ^ { 2 } - 8 x - 5$ 
D)  $( g + f ) ( x ) = - 5 x ^ { 2 } + 8 x + 5$

Question 20

Choose the one alternative that best completes the statement or answers the question.
-Suppose the weight (in pounds) of a baby boy x months old, for his first 10 months, can be approximated by the function $f ( x ) = 1.3 x + 7.7$ Find the predicted weight at the age of 1 months.

Accepted Answer

A)  8.7 lb 
B)  7.7 lb 
C)  10 lb 
D)  9 lb 
A)  8.7 lb 
B)  7.7 lb 
C)  10 lb 
D)  9 lb

Use the graph of y = f (x) below to graph y = f (-x) -

Find the average slope of the ramp. -

Write the word or phrase that best completes each statement or answers the question. Provide the missing information. -The graph of $y = - f ( x )$ is the graph of $y = f ( x )$ reflected across the ـــــــــــــaxis.

Use the slope-intercept form to write an equation of the line that passes through the given point and has the given slope. Use function notation where y = f(x). - $( 9 , - 3 ) ; m = 0$

Find $\frac { f ( x + h ) - f ( x ) } { h }$ for the given function. - $f ( x ) = x ^ { 3 } - 11$

Find the indicated function and write its domain in interval notation. - $s ( x ) = \frac { x - 4 } { x ^ { 2 } - 36 } , t ( x ) = \frac { x - 6 } { 4 - x } , \left( \frac { s } { t } \right) ( x ) = ?$

Find the slope of the ramp pictured below. -

The x- and y-axes divide the coordinate plane into four regions called________ .

Solve the problem. -Given $f ( x ) = \left| - 5 x ^ { 3 } + 8 \right|$ , define $m , n , h$ , and $k$ such that $f ( x ) = ( m \circ n \circ h \circ k ) ( x )$ .

Determine if the function is linear, constant, or neither. - $f ( x ) = \frac { 5 } { 3 }$

Choose the one alternative that best completes the statement or answers the question. Graph the equation and identify the x- and y-intercepts. - $5 x + 4 = 24$

Determine if the function is odd, even, or neither. - $f ( x ) = \frac { - \sqrt [ 3 ] { x } } { 8 x ^ { 2 } }$

Solve the problem. -If $m$ is one-sixth of $n$ , and $p$ is five less than $m$ , write $p$ as a function of $n$ .

Find the indicated function and write its domain in interval notation. - $n ( x ) = x - 5 , p ( x ) = x ^ { 2 } + 6 x , ( p \circ n ) ( x ) = \text { ? }$

Solve the problem. -The graph shows the height h (in meters) of a roller coaster t seconds after the ride starts. a. Over what interval(s) does the height increase? b. Over what interval(s) does the height decrease?

Evaluate the function for the given value of x. - $f ( x ) = 8 x , g ( x ) = - 5 x ^ { 2 } - 5 , ( g + f ) ( x ) = \text { ? }$

Choose the one alternative that best completes the statement or answers the question. -Suppose the weight (in pounds) of a baby boy x months old, for his first 10 months, can be approximated by the function $f ( x ) = 1.3 x + 7.7$ Find the predicted weight at the age of 1 months.

Equations and Inequalities

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Systems of Equations and Inequalities

Matrices and Determinants and Applications

Analytic Geometry

Sequences, Series, Induction, and Probability

Review of Prerequisites

Filters

Exam 2: Functions and Relations

Use the graph of y = f (x) below to graph y = f (-x) -

Find the average slope of the ramp. -

Write the word or phrase that best completes each statement or answers the question. Provide the missing information. -The graph of y=−f(x)y = - f ( x )y=−f(x) is the graph of y=f(x)y = f ( x )y=f(x) reflected across the ـــــــــــــaxis.

Use the slope-intercept form to write an equation of the line that passes through the given point and has the given slope. Use function notation where y = f(x). - (9,−3);m=0( 9 , - 3 ) ; m = 0(9,−3);m=0

Find f(x+h)−f(x)h\frac { f ( x + h ) - f ( x ) } { h }hf(x+h)−f(x)​ for the given function. - f(x)=x3−11f ( x ) = x ^ { 3 } - 11f(x)=x3−11

Find the indicated function and write its domain in interval notation. - s(x)=x−4x2−36,t(x)=x−64−x,(st)(x)=?s ( x ) = \frac { x - 4 } { x ^ { 2 } - 36 } , t ( x ) = \frac { x - 6 } { 4 - x } , \left( \frac { s } { t } \right) ( x ) = ?s(x)=x2−36x−4​,t(x)=4−xx−6​,(ts​)(x)=?

Find the slope of the ramp pictured below. -

The x- and y-axes divide the coordinate plane into four regions called________ .

Solve the problem. -Given f(x)=∣−5x3+8∣f ( x ) = \left| - 5 x ^ { 3 } + 8 \right|f(x)=​−5x3+8​ , define m,n,hm , n , hm,n,h , and kkk such that f(x)=(m∘n∘h∘k)(x)f ( x ) = ( m \circ n \circ h \circ k ) ( x )f(x)=(m∘n∘h∘k)(x) .

Determine if the function is linear, constant, or neither. - f(x)=53f ( x ) = \frac { 5 } { 3 }f(x)=35​

Choose the one alternative that best completes the statement or answers the question. Graph the equation and identify the x- and y-intercepts. - 5x+4=245 x + 4 = 245x+4=24

Determine if the function is odd, even, or neither. - f(x)=−x38x2f ( x ) = \frac { - \sqrt [ 3 ] { x } } { 8 x ^ { 2 } }f(x)=8x2−3x​​

Solve the problem. -If mmm is one-sixth of nnn , and ppp is five less than mmm , write ppp as a function of nnn .

Find the indicated function and write its domain in interval notation. - n(x)=x−5,p(x)=x2+6x,(p∘n)(x)= ? n ( x ) = x - 5 , p ( x ) = x ^ { 2 } + 6 x , ( p \circ n ) ( x ) = \text { ? }n(x)=x−5,p(x)=x2+6x,(p∘n)(x)= ?

Solve the problem. -The graph shows the height h (in meters) of a roller coaster t seconds after the ride starts. a. Over what interval(s) does the height increase? b. Over what interval(s) does the height decrease?

Choose the one alternative that best completes the statement or answers the question. From memory match each equation with its graph. - f(x)=xg(x)=1xh(x)=x2f(x)=\sqrt{x} \quad g(x)=\frac{1}{x} \quad h(x)=x^{2}f(x)=x​g(x)=x1​h(x)=x2 I II III

Evaluate the function for the given value of x. - f(x)=8x,g(x)=−5x2−5,(g+f)(x)= ? f ( x ) = 8 x , g ( x ) = - 5 x ^ { 2 } - 5 , ( g + f ) ( x ) = \text { ? }f(x)=8x,g(x)=−5x2−5,(g+f)(x)= ?

Equations and Inequalities

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Systems of Equations and Inequalities

Matrices and Determinants and Applications

Analytic Geometry

Sequences, Series, Induction, and Probability

Review of Prerequisites

Filters

Write the word or phrase that best completes each statement or answers the question. Provide the missing information. -The graph of $y = - f ( x )$ is the graph of $y = f ( x )$ reflected across the ـــــــــــــaxis.

Use the slope-intercept form to write an equation of the line that passes through the given point and has the given slope. Use function notation where y = f(x). - $( 9 , - 3 ) ; m = 0$

Find $\frac { f ( x + h ) - f ( x ) } { h }$ for the given function. - $f ( x ) = x ^ { 3 } - 11$

Find the indicated function and write its domain in interval notation. - $s ( x ) = \frac { x - 4 } { x ^ { 2 } - 36 } , t ( x ) = \frac { x - 6 } { 4 - x } , \left( \frac { s } { t } \right) ( x ) = ?$

Solve the problem. -Given $f ( x ) = \left| - 5 x ^ { 3 } + 8 \right|$ , define $m , n , h$ , and $k$ such that $f ( x ) = ( m \circ n \circ h \circ k ) ( x )$ .

Determine if the function is linear, constant, or neither. - $f ( x ) = \frac { 5 } { 3 }$

Choose the one alternative that best completes the statement or answers the question. Graph the equation and identify the x- and y-intercepts. - $5 x + 4 = 24$

Determine if the function is odd, even, or neither. - $f ( x ) = \frac { - \sqrt [ 3 ] { x } } { 8 x ^ { 2 } }$

Solve the problem. -If $m$ is one-sixth of $n$ , and $p$ is five less than $m$ , write $p$ as a function of $n$ .

Find the indicated function and write its domain in interval notation. - $n ( x ) = x - 5 , p ( x ) = x ^ { 2 } + 6 x , ( p \circ n ) ( x ) = \text { ? }$

Evaluate the function for the given value of x. - $f ( x ) = 8 x , g ( x ) = - 5 x ^ { 2 } - 5 , ( g + f ) ( x ) = \text { ? }$