Question 1

Find the center and radius of the circle.
-$$4 x ^ { 2 } + 4 y ^ { 2 } - 40 x - 8 y + 40 = 0$$

Accepted Answer

A)  center: (-5, -1), radius: 16 
B)  center: (5, 1), radius: 4 
C)  center: (-1, -5), radius: 16 
D)  center: (1, 5), radius: 4 
A)  center: (-5, -1), radius: 16 
B)  center: (5, 1), radius: 4 
C)  center: (-1, -5), radius: 16 
D)  center: (1, 5), radius: 4

Question 2

Graph the function.
-$y=3 x^{2}+6$

Accepted Answer

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

Question 3

Determine the intervals of the domain over which the function is continuous.
-

Accepted Answer

A) $(-\infty, 0) \cup(0, \infty)$ 
B)  $( - \infty , 1 ] \cup [ 1 , \infty )$ 
C)  $( - \infty , 1 ) \cup ( 1 , \infty )$ 
D)  $( - \infty , \infty )$ 
A) $(-\infty, 0) \cup(0, \infty)$ 
B)  $( - \infty , 1 ] \cup [ 1 , \infty )$ 
C)  $( - \infty , 1 ) \cup ( 1 , \infty )$ 
D)  $( - \infty , \infty )$

Question 4

Determine whether the equation has a graph that is symmetric with respect to the y -axis, the x-axis, the origin, or none
of these.
-$$x ^ { 2 } - y ^ { 2 } = 4$$

Accepted Answer

A)  origin only 
B)  $y$-axis, origin 
C)  x-axis, y-axis 
D)  $x$-axis, $y$-axis, origin 
A)  origin only 
B)  $y$-axis, origin 
C)  x-axis, y-axis 
D)  $x$-axis, $y$-axis, origin

Question 5

Decide whether the relation defines a function.
-$$x y = 4$$

Accepted Answer

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

Question 6

Use the graph to solve the problem.
-At what times was the temperature below $77 ^ { \circ } \mathrm { F }$ ?

Accepted Answer

A)  from 9 a.m. until 11 a.m. and from 3 p.m. until 6 p.m. 
B)  after 3 p.m. 
C)  from 12 p.m. until 3 p.m 
D)  from 9 a.m. until 12 p.m. and from 3 p.m. until 6 p.m. 
A)  from 9 a.m. until 11 a.m. and from 3 p.m. until 6 p.m. 
B)  after 3 p.m. 
C)  from 12 p.m. until 3 p.m 
D)  from 9 a.m. until 12 p.m. and from 3 p.m. until 6 p.m.

Question 7

Match the equation with the correct graph.
-$$y = \frac { 1 } { 3 } x - 4$$

Accepted Answer

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

Question 8

Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint.
-midpoint (12, -6), endpoint (9, -5)

Accepted Answer

A)  (3, -3) 
B)  (15, -4) 
C)  (15, -7) 
D)  (7, 1) 
A)  (3, -3) 
B)  (15, -4) 
C)  (15, -7) 
D)  (7, 1)

Question 9

The figure below shows the graph of a function y = f(x). Use this graph to solve the problem.
-$$\text { Sketch the graph of } y = f ( x - 3 )$$

Accepted Answer

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

Question 10

Graph the function.
-$$h ( x ) = \sqrt { - x + 1 } + 2$$

Accepted Answer

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

Question 11

Find the slope of the line satisfying the given conditions.
-vertical, through $( - 2 , - 9 )$

Accepted Answer

A)  undefined 
B)  $- 1$ 
C)  1 
D)  0 
A)  undefined 
B)  $- 1$ 
C)  1 
D)  0

Question 12

Find the requested value.
-$f ( 8 )$ for $f ( x ) = \left\{ \begin{array} { l l } 4 x + 1 , & \text { if } x  13 \end{array} \right.$

Accepted Answer

A)  92 
B)  64 
C)  5 
D)  $- 48$ 
A)  92 
B)  64 
C)  5 
D)  $- 48$

Question 13

Find the slope of the line and sketch the graph.
-$3 x+4 y=25$

Accepted Answer

A)  $m = - \frac { 4 } { 3 }$
  
B)  $m = - \frac { 3 } { 4 }$
  
C)  $\mathrm { m } = \frac { 3 } { 4 }$
  
D)  $\mathrm { m } = \frac { 4 } { 3 }$
  
A)  $m = - \frac { 4 } { 3 }$
  
B)  $m = - \frac { 3 } { 4 }$
  
C)  $\mathrm { m } = \frac { 3 } { 4 }$
  
D)  $\mathrm { m } = \frac { 4 } { 3 }$

Question 14

Find the slope of the line satisfying the given conditions.
-through $( 4 , - 3 )$ and $( 2 , - 6 )$

Accepted Answer

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

Question 15

Use the graph to solve the problem.
-The height $h$ in feet of a projectile thrown upward from the roof of a building after time $t$ seconds is shown in the graph below. How high will the projectile be after $0.7 \mathrm {~s}$ ?

Accepted Answer

A)  $375 \mathrm { ft }$ 
B)  $325 \mathrm { ft }$ 
C)  $300 \mathrm { ft }$ 
D)  $350 \mathrm { ft }$ 
A)  $375 \mathrm { ft }$ 
B)  $325 \mathrm { ft }$ 
C)  $300 \mathrm { ft }$ 
D)  $350 \mathrm { ft }$

Question 16

Graph the point symmetric to the given point.
-Plot the point (2, 9), then plot the point that is symmetric to (2, 9) with respect to the origin.

Accepted Answer

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

Question 17

Graph the equation by plotting points.
-$y=|x|+1$

Accepted Answer

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

Question 18

Graph the function.
-$f(x)=\left\{\begin{array}{ll}
7 x+5, & \text { if } x<0 \
4 x^{2}-1 & \text { if } x \geq 0
\end{array}\right.$

Accepted Answer

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

Question 19

Write an equation for the line described. Give your answer in slope-intercept form.
-$\mathrm { m } = - 8$, through $( - 4,9 )$

Accepted Answer

A)  $8 x + y = 23$ 
B)  $y = 8 x - 21$ 
C)  $y = - 8 x - 23$ 
D)  $y = - 8 x + 30$ 
A)  $8 x + y = 23$ 
B)  $y = 8 x - 21$ 
C)  $y = - 8 x - 23$ 
D)  $y = - 8 x + 30$

Question 20

Determine the intervals of the domain over which the function is continuous.
-

Accepted Answer

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

Find the center and radius of the circle. - $4 x ^ { 2 } + 4 y ^ { 2 } - 40 x - 8 y + 40 = 0$

Graph the function. - $y=3 x^{2}+6$ $Graph the function. - y=3 x^{2}+6$

Determine the intervals of the domain over which the function is continuous. -

Determine whether the equation has a graph that is symmetric with respect to the y -axis, the x-axis, the origin, or none of these. - $x ^ { 2 } - y ^ { 2 } = 4$

Decide whether the relation defines a function. - $x y = 4$

Use the graph to solve the problem. -At what times was the temperature below $77 ^ { \circ } \mathrm { F }$ ?

Match the equation with the correct graph. - $y = \frac { 1 } { 3 } x - 4$

Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint. -midpoint (12, -6), endpoint (9, -5)

The figure below shows the graph of a function y = f(x). Use this graph to solve the problem. - $\text { Sketch the graph of } y = f ( x - 3 )$ $The figure below shows the graph of a function y = f(x). Use this graph to solve the problem. - \text { Sketch the graph of } y = f ( x - 3 )$

Graph the function. - $h ( x ) = \sqrt { - x + 1 } + 2$ $Graph the function. - h ( x ) = \sqrt { - x + 1 } + 2$

Find the slope of the line satisfying the given conditions. -vertical, through $( - 2 , - 9 )$

Find the requested value. - $f ( 8 )$ for $f ( x ) = \left\{ \begin{array} { l l } 4 x + 1 , & \text { if } x < 1 \\ 8 x , & \text { if } 8 \leq x \leq 13 \\ 8 - 7 x , & \text { if } x > 13 \end{array} \right.$

Find the slope of the line and sketch the graph. - $3 x+4 y=25$

Find the slope of the line satisfying the given conditions. -through $( 4 , - 3 )$ and $( 2 , - 6 )$

Graph the point symmetric to the given point. -Plot the point (2, 9), then plot the point that is symmetric to (2, 9) with respect to the origin.

Graph the equation by plotting points. - $y=|x|+1$

Graph the function. - $f(x)=\left\{\begin{array}{ll}7 x+5, & \text { if } x<0 \\4 x^{2}-1 & \text { if } x \geq 0\end{array}\right.$ $Graph the function. - f(x)=\left\{\begin{array}{ll} 7 x+5, & \text { if } x<0 \\ 4 x^{2}-1 & \text { if } x \geq 0 \end{array}\right.$

Write an equation for the line described. Give your answer in slope-intercept form. - $\mathrm { m } = - 8$ , through $( - 4,9 )$

Determine the intervals of the domain over which the function is continuous. -

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

Find the center and radius of the circle. - 4x2+4y2−40x−8y+40=04 x ^ { 2 } + 4 y ^ { 2 } - 40 x - 8 y + 40 = 04x2+4y2−40x−8y+40=0

Graph the function. - y=3x2+6y=3 x^{2}+6y=3x2+6

Determine the intervals of the domain over which the function is continuous. -

Determine whether the equation has a graph that is symmetric with respect to the y -axis, the x-axis, the origin, or none of these. - x2−y2=4x ^ { 2 } - y ^ { 2 } = 4x2−y2=4

Decide whether the relation defines a function. - xy=4x y = 4xy=4

Use the graph to solve the problem. -At what times was the temperature below 77∘F77 ^ { \circ } \mathrm { F }77∘F ?

Match the equation with the correct graph. - y=13x−4y = \frac { 1 } { 3 } x - 4y=31​x−4

Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint. -midpoint (12, -6), endpoint (9, -5)

The figure below shows the graph of a function y = f(x). Use this graph to solve the problem. - Sketch the graph of y=f(x−3)\text { Sketch the graph of } y = f ( x - 3 ) Sketch the graph of y=f(x−3)

Graph the function. - h(x)=−x+1+2h ( x ) = \sqrt { - x + 1 } + 2h(x)=−x+1​+2

Find the slope of the line satisfying the given conditions. -vertical, through (−2,−9)( - 2 , - 9 )(−2,−9)

Find the slope of the line and sketch the graph. - 3x+4y=253 x+4 y=253x+4y=25

Find the slope of the line satisfying the given conditions. -through (4,−3)( 4 , - 3 )(4,−3) and (2,−6)( 2 , - 6 )(2,−6)

Use the graph to solve the problem. -The height hhh in feet of a projectile thrown upward from the roof of a building after time ttt seconds is shown in the graph below. How high will the projectile be after 0.7 s0.7 \mathrm {~s}0.7 s ?

Graph the point symmetric to the given point. -Plot the point (2, 9), then plot the point that is symmetric to (2, 9) with respect to the origin.

Graph the equation by plotting points. - y=∣x∣+1y=|x|+1y=∣x∣+1

Graph the function. - f(x)={7x+5, if x<04x2−1 if x≥0f(x)=\left\{\begin{array}{ll}7 x+5, & \text { if } x<0 \\4 x^{2}-1 & \text { if } x \geq 0\end{array}\right.f(x)={7x+5,4x2−1​ if x<0 if x≥0​

Write an equation for the line described. Give your answer in slope-intercept form. - m=−8\mathrm { m } = - 8m=−8 , through (−4,9)( - 4,9 )(−4,9)

Determine the intervals of the domain over which the function is continuous. -

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

Filters

Find the center and radius of the circle. - $4 x ^ { 2 } + 4 y ^ { 2 } - 40 x - 8 y + 40 = 0$

Graph the function. - $y=3 x^{2}+6$ $Graph the function. - y=3 x^{2}+6$

Determine whether the equation has a graph that is symmetric with respect to the y -axis, the x-axis, the origin, or none of these. - $x ^ { 2 } - y ^ { 2 } = 4$

Decide whether the relation defines a function. - $x y = 4$

Use the graph to solve the problem. -At what times was the temperature below $77 ^ { \circ } \mathrm { F }$ ?

Match the equation with the correct graph. - $y = \frac { 1 } { 3 } x - 4$

The figure below shows the graph of a function y = f(x). Use this graph to solve the problem. - $\text { Sketch the graph of } y = f ( x - 3 )$ $The figure below shows the graph of a function y = f(x). Use this graph to solve the problem. - \text { Sketch the graph of } y = f ( x - 3 )$

Graph the function. - $h ( x ) = \sqrt { - x + 1 } + 2$ $Graph the function. - h ( x ) = \sqrt { - x + 1 } + 2$

Find the slope of the line satisfying the given conditions. -vertical, through $( - 2 , - 9 )$

Find the slope of the line and sketch the graph. - $3 x+4 y=25$

Find the slope of the line satisfying the given conditions. -through $( 4 , - 3 )$ and $( 2 , - 6 )$

Graph the equation by plotting points. - $y=|x|+1$

Graph the function. - $f(x)=\left\{\begin{array}{ll}7 x+5, & \text { if } x<0 \\4 x^{2}-1 & \text { if } x \geq 0\end{array}\right.$ $Graph the function. - f(x)=\left\{\begin{array}{ll} 7 x+5, & \text { if } x<0 \\ 4 x^{2}-1 & \text { if } x \geq 0 \end{array}\right.$

Write an equation for the line described. Give your answer in slope-intercept form. - $\mathrm { m } = - 8$ , through $( - 4,9 )$