Question 1

Determine the average rate of change of the function on the given interval.
-$f ( x ) = \sqrt { x + 1 }$ on $[ 0,3 ]$

Accepted Answer

A)  $\frac { 1 } { 3 }$ 
B)  $\frac { \sqrt { 3 } } { 3 }$ 
C)  $- \frac { \sqrt { 3 } } { 3 }$ 
D)  $- \frac { 1 } { 3 }$ 
A)  $\frac { 1 } { 3 }$ 
B)  $\frac { \sqrt { 3 } } { 3 }$ 
C)  $- \frac { \sqrt { 3 } } { 3 }$ 
D)  $- \frac { 1 } { 3 }$

Question 2

Find and simplify f (x + h).
-$$f ( x ) = 3 - 4 x ^ { 2 }$$

Accepted Answer

A)  $f ( x ) = - 4 x ^ { 2 } + h + 3$ 
B)  $- 4 x ^ { 2 } + 2 x h + h ^ { 2 } + 3$ 
C)  $- 4 x ^ { 2 } + h ^ { 2 } + 3$ 
D)  $- 4 x ^ { 2 } - 8 x h - 4 h ^ { 2 } + 3$ 
A)  $f ( x ) = - 4 x ^ { 2 } + h + 3$ 
B)  $- 4 x ^ { 2 } + 2 x h + h ^ { 2 } + 3$ 
C)  $- 4 x ^ { 2 } + h ^ { 2 } + 3$ 
D)  $- 4 x ^ { 2 } - 8 x h - 4 h ^ { 2 } + 3$

Question 3

Find two functions f and g such that $h ( x ) = ( f \circ g ) ( x )$
-$$h ( x ) = ( x + 5 ) ^ { 6 }$$

Accepted Answer

A)  $f ( x ) = x ^ { 6 }$ and $g ( x ) = x + 5$ 
B)  $f ( x ) = x$ and $g ( x ) = x ^ { 6 } + 5$ 
C)  $f ( x ) = x + 5$ and $g ( x ) = x ^ { 6 }$ 
D)  $f ( x ) = ( x + 5 )$ and $g ( x ) = ( x + 5 ) ^ { 5 }$ 
A)  $f ( x ) = x ^ { 6 }$ and $g ( x ) = x + 5$ 
B)  $f ( x ) = x$ and $g ( x ) = x ^ { 6 } + 5$ 
C)  $f ( x ) = x + 5$ and $g ( x ) = x ^ { 6 }$ 
D)  $f ( x ) = ( x + 5 )$ and $g ( x ) = ( x + 5 ) ^ { 5 }$

Question 4

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).
-$( - 2.5,4.3 ) ; m = - 5.2$

Accepted Answer

A)  $f ( x ) = - 5.2 x + 4.3$ 
B)  $f ( x ) = - 8.7 x - 5.2$ 
C)  $f ( x ) = - 5.2 x - 8.7$ 
D)  $f ( x ) = - 5.2 x + 8.7$ 
A)  $f ( x ) = - 5.2 x + 4.3$ 
B)  $f ( x ) = - 8.7 x - 5.2$ 
C)  $f ( x ) = - 5.2 x - 8.7$ 
D)  $f ( x ) = - 5.2 x + 8.7$

Question 5

Solve the problem.
-The graph shows the number of organ transplants y in a certain country for the years 2005 to 2010 where x represents the number of years since 2005.   
a. Use the points (1, 114) and (4, 162) to write a linear model for these data. Round the slope to one Decimal place and the y-intercept to the nearest whole unit.
b) Use the model to approximate the number of organ transplants performed in 2012.

Accepted Answer

A)  a. $y = 16.0 x + 98$ b. approximately 210 
B)  a. $y = 16.0 x + 114$ b. approximately 306 
C)  a. $y = 16.0 x + 98$ b. approximately 290 
D)  a. $y = 16.0 x + 114$ b. approximately 226 
A)  a. $y = 16.0 x + 98$ b. approximately 210 
B)  a. $y = 16.0 x + 114$ b. approximately 306 
C)  a. $y = 16.0 x + 98$ b. approximately 290 
D)  a. $y = 16.0 x + 114$ b. approximately 226

Question 6

Write the word or phrase that best completes each statement or answers the question.
Provide the missing information.
-The slope of a horizontal line is .

Accepted Answer

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

Question 7

The endpoints of a diameter of a circle are shown. Find the center and radius of the circle.
-

Accepted Answer

A)  center: $( - 1,0 )$; radius: 4 
B)  center: $( 0 , - 1 )$; radius: $2 \sqrt { 5 }$ 
C)  center: $( - 1,0 )$; radius: $2 \sqrt { 5 }$ 
D)  center: $( 0 , - 1 )$; radius: 20 
A)  center: $( - 1,0 )$; radius: 4 
B)  center: $( 0 , - 1 )$; radius: $2 \sqrt { 5 }$ 
C)  center: $( - 1,0 )$; radius: $2 \sqrt { 5 }$ 
D)  center: $( 0 , - 1 )$; radius: 20

Question 8

Solve the problem.
-Write an equation that represents the set of points that are 5 units from $( - 5 , - 7 )$.

Accepted Answer

A)  $( x + 5 ) ^ { 2 } + ( y + 7 ) ^ { 2 } = 25$ 
B)  $( x + 5 ) ^ { 2 } + ( y + 7 ) ^ { 2 } = 5$ 
C)  $| x + 5 | + | y + 7 | = 5$ 
D)  $| x - 5 | + | y - 7 | = 5$ 
A)  $( x + 5 ) ^ { 2 } + ( y + 7 ) ^ { 2 } = 25$ 
B)  $( x + 5 ) ^ { 2 } + ( y + 7 ) ^ { 2 } = 5$ 
C)  $| x + 5 | + | y + 7 | = 5$ 
D)  $| x - 5 | + | y - 7 | = 5$

Question 9

Solve the problem.
-A bakery makes and sells pastries. The fixed monthly cost to the bakery is $770. The cost for labor, taxes, and ingredients for the pastries amounts to $0.90 per pastry. The pastries sell for $1.60 each.
a) Write a linear profit function representing the profit for producing and selling x pastries.
b) Determine the break-even point for the bakery.

Accepted Answer

A)  a. P(x) = 0.7x + 770; b. 1,100 pastries 
B)  a. P(x) = 1.60x - 770; b. 481 pastries 
C)  a. P(x) = 1.60x + 770; b. 481 pastries 
D)  a. P(x) = 0.7x - 770; b. 1,100 pastries 
A)  a. P(x) = 0.7x + 770; b. 1,100 pastries 
B)  a. P(x) = 1.60x - 770; b. 481 pastries 
C)  a. P(x) = 1.60x + 770; b. 481 pastries 
D)  a. P(x) = 0.7x - 770; b. 1,100 pastries

Question 10

Graph the equation by plotting points.
-$$x = | y | - 5$$

Accepted Answer

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

Question 11

Solve the problem.
-A tumor originally weighed $34 \mathrm {~g}$. Every day, chemotherapy treatment reduces the size of the tumor by $2.49 \mathrm {~g}$. Express the size of the tumor as a linear function of the number of days spent in chemotherapy then determine how much the tumor weighs after 5 days of treatment.

Accepted Answer

A)  $W ( x ) = - 2.49 x + 34 ; 12.45 \mathrm {~g}$ 
B)  $W ( x ) = 34 x - 2.49 ; 12.45 \mathrm {~g}$ 
C)  $W ( x ) = - 2.49 x + 34 ; 21.55 \mathrm {~g}$ 
D)  $W ( x ) = 34 x - 2.49 ; 21.55 \mathrm {~g}$ 
A)  $W ( x ) = - 2.49 x + 34 ; 12.45 \mathrm {~g}$ 
B)  $W ( x ) = 34 x - 2.49 ; 12.45 \mathrm {~g}$ 
C)  $W ( x ) = - 2.49 x + 34 ; 21.55 \mathrm {~g}$ 
D)  $W ( x ) = 34 x - 2.49 ; 21.55 \mathrm {~g}$

Question 12

Evaluate the function for the indicated value, then simplify.
-$f ( t ) = t ^ { 2 } + 5 t$; find $f ( t - 5 )$, then simplify as much as possible.

Accepted Answer

A)  $t ^ { 2 } - 5 t$ 
B)  $t ^ { 2 } - 20 t$ 
C)  $t ^ { 2 } + 15 t$ 
D)  $t ^ { 2 } - 15 t$ 
A)  $t ^ { 2 } - 5 t$ 
B)  $t ^ { 2 } - 20 t$ 
C)  $t ^ { 2 } + 15 t$ 
D)  $t ^ { 2 } - 15 t$

Question 13

Write the equation in standard form to find the center and radius of the circle.
-$$x ^ { 2 } + y ^ { 2 } + 6 x + 14 y + 37 = 0$$

Accepted Answer

A)  $( x + 3 ) ^ { 2 } + ( y + 7 ) ^ { 2 } = 21 ;$ center $( - 3 , - 7 )$, radius $\sqrt { 21 }$ 
B)  $( x + 3 ) ^ { 2 } + ( y + 7 ) ^ { 2 } = 21 ;$ center $( - 3 , - 7 )$, radius 21 
C)  $( x + 3 ) ^ { 2 } + ( y + 7 ) ^ { 2 } = 21 ;$ center $( 3,7 )$, radius 21 
D)  $( x - 3 ) ^ { 2 } + ( y - 7 ) ^ { 2 } = 21 ;$ center $( 3,7 )$, radius $\sqrt { 21 }$ 
A)  $( x + 3 ) ^ { 2 } + ( y + 7 ) ^ { 2 } = 21 ;$ center $( - 3 , - 7 )$, radius $\sqrt { 21 }$ 
B)  $( x + 3 ) ^ { 2 } + ( y + 7 ) ^ { 2 } = 21 ;$ center $( - 3 , - 7 )$, radius 21 
C)  $( x + 3 ) ^ { 2 } + ( y + 7 ) ^ { 2 } = 21 ;$ center $( 3,7 )$, radius 21 
D)  $( x - 3 ) ^ { 2 } + ( y - 7 ) ^ { 2 } = 21 ;$ center $( 3,7 )$, radius $\sqrt { 21 }$

Question 14

Refer to the values of k(x) and p(x) in the table, and evaluate the function for the given value of x.
-$\begin{array}{c|c|c}
x & k(x) & p(x) \
\hline-3 & -6 & -7 \
\hline-2 & 6 & 1 \
\hline 1 & 2 & 4 \
\hline 6 & -2 & 5
\end{array}$

$( p \circ k ) ( - 2 )$

Accepted Answer

A)  $- 3$ 
B)  2 
C)  5 
D)  4 
A)  $- 3$ 
B)  2 
C)  5 
D)  4

Question 15

Write the word or phrase that best completes each statement or answers the question.
Provide the missing information.
-A is the set of all points in a plane equidistant from a fixed point called the
.

Accepted Answer

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

Question 16

Choose the one alternative that best completes the statement or answers the question.
Graph the equation and identify the x- and y-intercepts.
-$$0.03 x + 0.01 y = 0.03$$

Accepted Answer

A)  $x$-intercept: $( 1,0 ) ; y$-intercept: $( 0,3 )$
  
B)  $x$-intercept: $( 0,3 ) ; y$-intercept: $( - 1,0 )$
  
C)  $x$-intercept: $( 0,3 ) ; y$-intercept: $( 1,0 )$
  
D)  $x$-intercept: $( - 1,0 ) ; y$-intercept: $( 0,3 )$
  
A)  $x$-intercept: $( 1,0 ) ; y$-intercept: $( 0,3 )$
  
B)  $x$-intercept: $( 0,3 ) ; y$-intercept: $( - 1,0 )$
  
C)  $x$-intercept: $( 0,3 ) ; y$-intercept: $( 1,0 )$
  
D)  $x$-intercept: $( - 1,0 ) ; y$-intercept: $( 0,3 )$

Question 17

Find an equation of the circle with the given characteristics.
-$( - 6,0 )$ and radius 3

Accepted Answer

A)  $( x - 6 ) ^ { 2 } + y ^ { 2 } = 3$ 
B)  $( x + 6 ) ^ { 2 } + y ^ { 2 } = 9$ 
C)  $( x + 6 ) ^ { 2 } = 9$ 
D)  $( x - 6 ) ^ { 2 } = 3$ 
A)  $( x - 6 ) ^ { 2 } + y ^ { 2 } = 3$ 
B)  $( x + 6 ) ^ { 2 } + y ^ { 2 } = 9$ 
C)  $( x + 6 ) ^ { 2 } = 9$ 
D)  $( x - 6 ) ^ { 2 } = 3$

Question 18

Use the given information about a circle to write an equation of the circle in standard form. Graph the
circle.
-Center: $( 4,2 )$; Radius: 4

Accepted Answer

A)  $( x + 4 ) ^ { 2 } + ( y + 2 ) ^ { 2 } = 16$
  
B)  $( x + 4 ) ^ { 2 } + ( y + 2 ) ^ { 2 } = 4$
  
C)  $( x - 4 ) ^ { 2 } + ( y - 2 ) ^ { 2 } = 4$
  
D)  $( x - 4 ) ^ { 2 } + ( y - 2 ) ^ { 2 } = 16$
  
A)  $( x + 4 ) ^ { 2 } + ( y + 2 ) ^ { 2 } = 16$
  
B)  $( x + 4 ) ^ { 2 } + ( y + 2 ) ^ { 2 } = 4$
  
C)  $( x - 4 ) ^ { 2 } + ( y - 2 ) ^ { 2 } = 4$
  
D)  $( x - 4 ) ^ { 2 } + ( y - 2 ) ^ { 2 } = 16$

Question 19

Write the word or phrase that best completes each statement or answers the question.Provide the missing information.
-The composition of f and g, denoted by ( $( f \circ g ) ( x )$ ) is defined by = .

Accepted Answer

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

Question 20

Write a function based on the given parent function and the transformations in the given order.
-Parent function $y = \sqrt [ 3 ] { x }$ 
1. Shift 9 units to the left. 
2. Shift horizontally by a factor of 5.
3) Reflect across the x-axis.

Accepted Answer

A)  $y = - \sqrt [ 3 ] { \frac { 1 } { 5 } x + 9 }$ 
B)  $y = - \sqrt [ 3 ] { 5 x - 9 }$ 
C)  $y = \sqrt [ 3 ] { - \frac { 1 } { 5 } x - 9 }$ 
D)  $y = - \sqrt [ 3 ] { 5 x + 9 }$ 
A)  $y = - \sqrt [ 3 ] { \frac { 1 } { 5 } x + 9 }$ 
B)  $y = - \sqrt [ 3 ] { 5 x - 9 }$ 
C)  $y = \sqrt [ 3 ] { - \frac { 1 } { 5 } x - 9 }$ 
D)  $y = - \sqrt [ 3 ] { 5 x + 9 }$

Determine the average rate of change of the function on the given interval. - $f ( x ) = \sqrt { x + 1 }$ on $[ 0,3 ]$

Find and simplify f (x + h). - $f ( x ) = 3 - 4 x ^ { 2 }$

Find two functions f and g such that $h ( x ) = ( f \circ g ) ( x )$ - $h ( x ) = ( x + 5 ) ^ { 6 }$

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). - $( - 2.5,4.3 ) ; m = - 5.2$

Write the word or phrase that best completes each statement or answers the question. Provide the missing information. -The slope of a horizontal line is .

The endpoints of a diameter of a circle are shown. Find the center and radius of the circle. -

Solve the problem. -Write an equation that represents the set of points that are 5 units from $( - 5 , - 7 )$ .

Graph the equation by plotting points. - $x = | y | - 5$

Evaluate the function for the indicated value, then simplify. - $f ( t ) = t ^ { 2 } + 5 t$ ; find $f ( t - 5 )$ , then simplify as much as possible.

Write the equation in standard form to find the center and radius of the circle. - $x ^ { 2 } + y ^ { 2 } + 6 x + 14 y + 37 = 0$

Refer to the values of k(x) and p(x) in the table, and evaluate the function for the given value of x. - x k(x) p(x) -3 -6 -7 -2 6 1 1 2 4 6 -2 5 $( p \circ k ) ( - 2 )$

Write the word or phrase that best completes each statement or answers the question. Provide the missing information. -A is the set of all points in a plane equidistant from a fixed point called the .

Choose the one alternative that best completes the statement or answers the question. Graph the equation and identify the x- and y-intercepts. - $0.03 x + 0.01 y = 0.03$

Find an equation of the circle with the given characteristics. - $( - 6,0 )$ and radius 3

Use the given information about a circle to write an equation of the circle in standard form. Graph the circle. -Center: $( 4,2 )$ ; Radius: 4

Write the word or phrase that best completes each statement or answers the question.Provide the missing information. -The composition of f and g, denoted by ( $( f \circ g ) ( x )$ ) is defined by = .

Write a function based on the given parent function and the transformations in the given order. -Parent function $y = \sqrt [ 3 ] { x }$ 1. Shift 9 units to the left. 2. Shift horizontally by a factor of 5. 3) Reflect across the x-axis.

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

Determine the average rate of change of the function on the given interval. - f(x)=x+1f ( x ) = \sqrt { x + 1 }f(x)=x+1​ on [0,3][ 0,3 ][0,3]

Find and simplify f (x + h). - f(x)=3−4x2f ( x ) = 3 - 4 x ^ { 2 }f(x)=3−4x2

Find two functions f and g such that h(x)=(f∘g)(x)h ( x ) = ( f \circ g ) ( x )h(x)=(f∘g)(x) - h(x)=(x+5)6h ( x ) = ( x + 5 ) ^ { 6 }h(x)=(x+5)6

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). - (−2.5,4.3);m=−5.2( - 2.5,4.3 ) ; m = - 5.2(−2.5,4.3);m=−5.2

Write the word or phrase that best completes each statement or answers the question. Provide the missing information. -The slope of a horizontal line is .

The endpoints of a diameter of a circle are shown. Find the center and radius of the circle. -

Solve the problem. -Write an equation that represents the set of points that are 5 units from (−5,−7)( - 5 , - 7 )(−5,−7) .

Graph the equation by plotting points. - x=∣y∣−5x = | y | - 5x=∣y∣−5

Evaluate the function for the indicated value, then simplify. - f(t)=t2+5tf ( t ) = t ^ { 2 } + 5 tf(t)=t2+5t ; find f(t−5)f ( t - 5 )f(t−5) , then simplify as much as possible.

Write the equation in standard form to find the center and radius of the circle. - x2+y2+6x+14y+37=0x ^ { 2 } + y ^ { 2 } + 6 x + 14 y + 37 = 0x2+y2+6x+14y+37=0

Refer to the values of k(x) and p(x) in the table, and evaluate the function for the given value of x. - x k(x) p(x) -3 -6 -7 -2 6 1 1 2 4 6 -2 5 (p∘k)(−2)( p \circ k ) ( - 2 )(p∘k)(−2)

Write the word or phrase that best completes each statement or answers the question. Provide the missing information. -A is the set of all points in a plane equidistant from a fixed point called the .

Choose the one alternative that best completes the statement or answers the question. Graph the equation and identify the x- and y-intercepts. - 0.03x+0.01y=0.030.03 x + 0.01 y = 0.030.03x+0.01y=0.03

Find an equation of the circle with the given characteristics. - (−6,0)( - 6,0 )(−6,0) and radius 3

Use the given information about a circle to write an equation of the circle in standard form. Graph the circle. -Center: (4,2)( 4,2 )(4,2) ; Radius: 4

Write the word or phrase that best completes each statement or answers the question.Provide the missing information. -The composition of f and g, denoted by ( (f∘g)(x)( f \circ g ) ( x )(f∘g)(x) ) is defined by = .

Write a function based on the given parent function and the transformations in the given order. -Parent function y=x3y = \sqrt [ 3 ] { x }y=3x​ 1. Shift 9 units to the left. 2. Shift horizontally by a factor of 5. 3) Reflect across the x-axis.

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

Determine the average rate of change of the function on the given interval. - $f ( x ) = \sqrt { x + 1 }$ on $[ 0,3 ]$

Find and simplify f (x + h). - $f ( x ) = 3 - 4 x ^ { 2 }$

Find two functions f and g such that $h ( x ) = ( f \circ g ) ( x )$ - $h ( x ) = ( x + 5 ) ^ { 6 }$

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). - $( - 2.5,4.3 ) ; m = - 5.2$

Solve the problem. -Write an equation that represents the set of points that are 5 units from $( - 5 , - 7 )$ .

Graph the equation by plotting points. - $x = | y | - 5$

Evaluate the function for the indicated value, then simplify. - $f ( t ) = t ^ { 2 } + 5 t$ ; find $f ( t - 5 )$ , then simplify as much as possible.

Write the equation in standard form to find the center and radius of the circle. - $x ^ { 2 } + y ^ { 2 } + 6 x + 14 y + 37 = 0$

Refer to the values of k(x) and p(x) in the table, and evaluate the function for the given value of x. - x k(x) p(x) -3 -6 -7 -2 6 1 1 2 4 6 -2 5 $( p \circ k ) ( - 2 )$

Choose the one alternative that best completes the statement or answers the question. Graph the equation and identify the x- and y-intercepts. - $0.03 x + 0.01 y = 0.03$

Find an equation of the circle with the given characteristics. - $( - 6,0 )$ and radius 3

Use the given information about a circle to write an equation of the circle in standard form. Graph the circle. -Center: $( 4,2 )$ ; Radius: 4

Write the word or phrase that best completes each statement or answers the question.Provide the missing information. -The composition of f and g, denoted by ( $( f \circ g ) ( x )$ ) is defined by = .

Write a function based on the given parent function and the transformations in the given order. -Parent function $y = \sqrt [ 3 ] { x }$ 1. Shift 9 units to the left. 2. Shift horizontally by a factor of 5. 3) Reflect across the x-axis.