Question 1

Find the exact function value.
-tan-1(1)

Accepted Answer

A)  0 
B)  $\frac { 3 \pi } { 4 }$ 
C)  $\frac { \pi } { 4 }$ 
D)  1 
A)  0 
B)  $\frac { 3 \pi } { 4 }$ 
C)  $\frac { \pi } { 4 }$ 
D)  1

Question 2

Find a formula for the function graphed.
-

Accepted Answer

A)  $f ( x ) = \left\{ \begin{array} { l l } \frac { 1 } { 2 } x + 1 , & - 8 \leq x \leq - 2 \ 5 , & - 2 < x < 3 \ 6 - x , & 3 \leq x \leq 8 \end{array} \right.$ 
B)  $f ( x ) = \left\{ \begin{array} { l l } \frac { 1 } { 2 } x + 1 , & - 8 \leq x \leq - 2 \ 5 , & - 2 < x \leq 3 \ 6 - x , & 3 < x \leq 8 \end{array} \right.$ 
C)  $f ( x ) = \left\{ \begin{array} { l r } - \frac { 1 } { 2 } x + 1 , & - 8 \leq x \leq - 2 \ 5 , & - 2 < x \leq 3 \ x - 6 , & 3 < x \leq 8 \end{array} \right.$ 
D)  $f ( x ) = \left\{ \begin{array} { l l } \frac { 1 } { 2 } x + 1 , & - 8 < x \leq - 2 \ 5 , & - 2 < x \leq 3 \ 6 - x , & 3 < x < 8 \end{array} \right.$ 
A)  $f ( x ) = \left\{ \begin{array} { l l } \frac { 1 } { 2 } x + 1 , & - 8 \leq x \leq - 2 \ 5 , & - 2 < x < 3 \ 6 - x , & 3 \leq x \leq 8 \end{array} \right.$ 
B)  $f ( x ) = \left\{ \begin{array} { l l } \frac { 1 } { 2 } x + 1 , & - 8 \leq x \leq - 2 \ 5 , & - 2 < x \leq 3 \ 6 - x , & 3 < x \leq 8 \end{array} \right.$ 
C)  $f ( x ) = \left\{ \begin{array} { l r } - \frac { 1 } { 2 } x + 1 , & - 8 \leq x \leq - 2 \ 5 , & - 2 < x \leq 3 \ x - 6 , & 3 < x \leq 8 \end{array} \right.$ 
D)  $f ( x ) = \left\{ \begin{array} { l l } \frac { 1 } { 2 } x + 1 , & - 8 < x \leq - 2 \ 5 , & - 2 < x \leq 3 \ 6 - x , & 3 < x < 8 \end{array} \right.$

Question 3

Use a graphing calculator or computer to determine which of the given viewing windows displays the most appropriate
graph of the specified function.
-$$f ( x ) = \frac { 10 } { x ^ { 2 } - 8 }$$

Accepted Answer

A)  $[ - 2,2 ]$ by $[ - 10,10 ]$ 
B)  $[ - 5,5 ]$ by $[ - 10,10 ]$ 
C)  $[ 0,5 ]$ by $[ - 10,10 ]$ 
D)  $[ - 5,0 ]$ by $[ - 10,10 ]$ 
A)  $[ - 2,2 ]$ by $[ - 10,10 ]$ 
B)  $[ - 5,5 ]$ by $[ - 10,10 ]$ 
C)  $[ 0,5 ]$ by $[ - 10,10 ]$ 
D)  $[ - 5,0 ]$ by $[ - 10,10 ]$

Question 4

Find the exact value of the trigonometric function. Do not use a calculator or tables.
-$\cos \left( \frac { 5 \pi } { 6 } \right)$

Accepted Answer

A)  $- \frac { \sqrt { 2 } } { 2 }$ 
B)  $- \frac { 1 } { 2 }$ 
C)  $- \frac { \sqrt { 3 } } { 2 }$ 
D)  $\frac { \sqrt { 3 } } { 2 }$ 
A)  $- \frac { \sqrt { 2 } } { 2 }$ 
B)  $- \frac { 1 } { 2 }$ 
C)  $- \frac { \sqrt { 3 } } { 2 }$ 
D)  $\frac { \sqrt { 3 } } { 2 }$

Question 5

Simplify the expression.
-$25 ^ { \log 5 x }$

Accepted Answer

A)  2 
B)  $x ^ { 2 }$ 
C)  $\sqrt { x }$ 
D)  $5 ^ { 2 }$ 
A)  2 
B)  $x ^ { 2 }$ 
C)  $\sqrt { x }$ 
D)  $5 ^ { 2 }$

Question 6

Graph the function.
-$y=\sqrt{|x|}+4$

Accepted Answer

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

Question 7

Consider the function y Can x be 0?
-$\text { Graph the function } f ( x ) = \lfloor x \rfloor \text {. }$

Accepted Answer

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

Question 8

Graph the function. Determine the symmetry, if any, of the function.
-$y = - \frac { 1 } { x ^ { 2 } }$

Accepted Answer

A)  $\text { Symmetric about the } y \text {-axis }$
  
B)  $\text { Symmetric about the } y \text {-axis }$
  
C)  $\text { No symmetry }$

D)  $\text { Symmetric about the } y \text {-axis }$
  
A)  $\text { Symmetric about the } y \text {-axis }$
  
B)  $\text { Symmetric about the } y \text {-axis }$
  
C)  $\text { No symmetry }$

D)  $\text { Symmetric about the } y \text {-axis }$

Question 9

The problem tells by what factor and direction the graph of the given function is to be stretched or compressed. Give an
equation for the stretched or compressed graph.
-$y = 1 + \frac { 1 } { x ^ { 2 } } \quad$ stretched vertically by a factor of 5

Accepted Answer

A)  $y = 1 + \frac { 25 } { x ^ { 2 } }$ 
B)  $y = 5 + \frac { 5 } { x ^ { 2 } }$ 
C)  $y = 1 + \frac { 5 } { x ^ { 2 } }$ 
D)  $y = \frac { 1 } { 5 } + \frac { 1 } { 5 x ^ { 2 } }$ 
A)  $y = 1 + \frac { 25 } { x ^ { 2 } }$ 
B)  $y = 5 + \frac { 5 } { x ^ { 2 } }$ 
C)  $y = 1 + \frac { 5 } { x ^ { 2 } }$ 
D)  $y = \frac { 1 } { 5 } + \frac { 1 } { 5 x ^ { 2 } }$

Question 10

Simplify the expression.
-$$\log _ { 10 } 10$$

Accepted Answer

A)  0 
B)  10 
C)  -1 
D)  1 
A)  0 
B)  10 
C)  -1 
D)  1

Question 11

Graph the function.
-$\text { Graph two periods of the function } f ( x ) = - \cot \frac { x } { 2 } + 1 \text {. }$

Accepted Answer

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

Question 12

Use a graphing calculator or computer to determine which of the given viewing windows displays the most appropriate
graph of the specified function.
-$$f ( x ) = 10 + 8 x - x ^ { 3 }$$

Accepted Answer

A)  $[ - 4,5 ]$ by $[ - 5,5 ]$ 
B)  $[ - 10,20 ]$ by $[ - 50,50 ]$ 
C)  $[ - 4,5 ]$ by $[ - 15,25 ]$ 
D)  $[ - 10,10 ]$ by $[ - 10,5 ]$ 
A)  $[ - 4,5 ]$ by $[ - 5,5 ]$ 
B)  $[ - 10,20 ]$ by $[ - 50,50 ]$ 
C)  $[ - 4,5 ]$ by $[ - 15,25 ]$ 
D)  $[ - 10,10 ]$ by $[ - 10,5 ]$

Question 13

Match the equation with its graph.
-$y=2 x$

Accepted Answer

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

Question 14

Use the appropriate addition formula to find the exact value of the expression.
-$\cos \left( - \frac { 7 \pi } { 12 } \right)$

Accepted Answer

A)  $\frac { \sqrt { 6 } - \sqrt { 2 } } { 4 }$ 
B)  $\frac { \sqrt { 2 } - \sqrt { 6 } } { 4 }$ 
C)  $\sqrt { 2 } - \sqrt { 6 }$ 
D)  $\sqrt { 6 } + \sqrt { 2 }$ 
A)  $\frac { \sqrt { 6 } - \sqrt { 2 } } { 4 }$ 
B)  $\frac { \sqrt { 2 } - \sqrt { 6 } } { 4 }$ 
C)  $\sqrt { 2 } - \sqrt { 6 }$ 
D)  $\sqrt { 6 } + \sqrt { 2 }$

Question 15

Find the requested information using the law of cosines and/or the law of sines. Round to three decimal places.
-A triangle has side $\mathrm { c } = 4$ and angles $\mathrm { A } = \frac { \pi } { 3 }$ and $\mathrm { B } = \frac { \pi } { 4 }$. Find the length $\mathrm { b }$ of the side opposite $\mathrm { B }$.

Accepted Answer

A)  $0.732$ 
B)  $2.928$ 
C)  $3.586$ 
D)  $0.183$ 
A)  $0.732$ 
B)  $2.928$ 
C)  $3.586$ 
D)  $0.183$

Question 16

Solve for the angle , where 0 2
-$$\cos ^ { 2 } \theta = \frac { 3 } { 4 }$$

Accepted Answer

A)  $\theta = \frac { \pi } { 3 } , \frac { 2 \pi } { 3 } , \frac { 4 \pi } { 3 } , \frac { 5 \pi } { 3 }$ 
B)  $\theta = \frac { \pi } { 4 } , \frac { 3 \pi } { 4 } , \frac { 5 \pi } { 4 } , \frac { 7 \pi } { 4 }$ 
C)  $\theta = \frac { \pi } { 6 } , \frac { 5 \pi } { 6 } , \frac { 7 \pi } { 6 } , \frac { 11 \pi } { 6 }$ 
D)  $\theta = 0 , \pi , 2 \pi$ 
A)  $\theta = \frac { \pi } { 3 } , \frac { 2 \pi } { 3 } , \frac { 4 \pi } { 3 } , \frac { 5 \pi } { 3 }$ 
B)  $\theta = \frac { \pi } { 4 } , \frac { 3 \pi } { 4 } , \frac { 5 \pi } { 4 } , \frac { 7 \pi } { 4 }$ 
C)  $\theta = \frac { \pi } { 6 } , \frac { 5 \pi } { 6 } , \frac { 7 \pi } { 6 } , \frac { 11 \pi } { 6 }$ 
D)  $\theta = 0 , \pi , 2 \pi$

Question 17

State the period of the function and graph.
-$$- \cos 6 x$$

Accepted Answer

A)  Period $\frac { \pi } { 3 }$
  
B)  Period $\frac { \pi } { 3 }$
  
C)  Period $\frac { \pi } { 3 }$
  
D)  Period $\frac { \pi } { 3 }$
  
A)  Period $\frac { \pi } { 3 }$
  
B)  Period $\frac { \pi } { 3 }$
  
C)  Period $\frac { \pi } { 3 }$
  
D)  Period $\frac { \pi } { 3 }$

Question 18

Solve for t or y, as appropriate.
-$$e ^ { ( \ln 0.3 ) t } = 0.6$$

Accepted Answer

A)  $\frac { \ln 0.6 } { \ln 0.3 }$ 
B)  2 
C)  $\ln 2$ 
D)  $\frac { e ^ { 0.6 } } { \ln 0.3 }$ 
A)  $\frac { \ln 0.6 } { \ln 0.3 }$ 
B)  2 
C)  $\ln 2$ 
D)  $\frac { e ^ { 0.6 } } { \ln 0.3 }$

Question 19

Solve the problem.
-If you roll a 1 -m-diameter wheel forward 34 centimeters over level ground, through what angle (to the nearest degree) will the wheel turn?

Accepted Answer

A)  $1 ^ { \circ }$ 
B)  $19 ^ { \circ }$ 
C)  $68 ^ { \circ }$ 
D)  $39 ^ { \circ }$ 
A)  $1 ^ { \circ }$ 
B)  $19 ^ { \circ }$ 
C)  $68 ^ { \circ }$ 
D)  $39 ^ { \circ }$

Question 20

Find the domain and graph the function.
-$F(x)=\sqrt{-x}$

Accepted Answer

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

Find the exact function value. -tan^-1(1)

Find a formula for the function graphed. -

Use a graphing calculator or computer to determine which of the given viewing windows displays the most appropriate graph of the specified function. - $f ( x ) = \frac { 10 } { x ^ { 2 } - 8 }$

Find the exact value of the trigonometric function. Do not use a calculator or tables. - $\cos \left( \frac { 5 \pi } { 6 } \right)$

Simplify the expression. - $25 ^ { \log 5 x }$

Graph the function. - $y=\sqrt{|x|}+4$ $Graph the function. - y=\sqrt{|x|}+4$

Consider the function y Can x be 0? - $\text { Graph the function } f ( x ) = \lfloor x \rfloor \text {. }$ $Consider the function y Can x be 0? - \text { Graph the function } f ( x ) = \lfloor x \rfloor \text {. }$

Graph the function. Determine the symmetry, if any, of the function. - $y = - \frac { 1 } { x ^ { 2 } }$ $Graph the function. Determine the symmetry, if any, of the function. - y = - \frac { 1 } { x ^ { 2 } }$

The problem tells by what factor and direction the graph of the given function is to be stretched or compressed. Give an equation for the stretched or compressed graph. - $y = 1 + \frac { 1 } { x ^ { 2 } } \quad$ stretched vertically by a factor of 5

Simplify the expression. - $\log _ { 10 } 10$

Graph the function. - $\text { Graph two periods of the function } f ( x ) = - \cot \frac { x } { 2 } + 1 \text {. }$ $Graph the function. - \text { Graph two periods of the function } f ( x ) = - \cot \frac { x } { 2 } + 1 \text {. }$

Use a graphing calculator or computer to determine which of the given viewing windows displays the most appropriate graph of the specified function. - $f ( x ) = 10 + 8 x - x ^ { 3 }$

Match the equation with its graph. - $y=2 x$

Use the appropriate addition formula to find the exact value of the expression. - $\cos \left( - \frac { 7 \pi } { 12 } \right)$

Solve for the angle , where 0 2 - $\cos ^ { 2 } \theta = \frac { 3 } { 4 }$

State the period of the function and graph. - $- \cos 6 x$ $State the period of the function and graph. - - \cos 6 x$

Solve for t or y, as appropriate. - $e ^ { ( \ln 0.3 ) t } = 0.6$

Solve the problem. -If you roll a 1 -m-diameter wheel forward 34 centimeters over level ground, through what angle (to the nearest degree) will the wheel turn?

Find the domain and graph the function. - $F(x)=\sqrt{-x}$ $Find the domain and graph the function. - F(x)=\sqrt{-x}$

Limits and Continuity

Derivatives

Applications of Derivatives

Integrals

Applications of Definite Integrals

Integrals and Transcendental Functions

Techniques of Integration

First-Order Differential Equations

Infinite Sequences and Series

Parametric Equations and Polar Coordinates

Vectors and the Geometry of Space

Vector-Valued Functions and Motion in Space

Partial Derivatives

Multiple Integrals

Integrals and Vector Fields

Filters

Exam 2: Functions

Find the exact function value. -tan-1(1)

Find a formula for the function graphed. -

Use a graphing calculator or computer to determine which of the given viewing windows displays the most appropriate graph of the specified function. - f(x)=10x2−8f ( x ) = \frac { 10 } { x ^ { 2 } - 8 }f(x)=x2−810​

Find the exact value of the trigonometric function. Do not use a calculator or tables. - cos⁡(5π6)\cos \left( \frac { 5 \pi } { 6 } \right)cos(65π​)

Simplify the expression. - 25log⁡5x25 ^ { \log 5 x }25log5x

Graph the function. - y=∣x∣+4y=\sqrt{|x|}+4y=∣x∣​+4

Consider the function y Can x be 0? - Graph the function f(x)=⌊x⌋. \text { Graph the function } f ( x ) = \lfloor x \rfloor \text {. } Graph the function f(x)=⌊x⌋.

Graph the function. Determine the symmetry, if any, of the function. - y=−1x2y = - \frac { 1 } { x ^ { 2 } }y=−x21​

The problem tells by what factor and direction the graph of the given function is to be stretched or compressed. Give an equation for the stretched or compressed graph. - y=1+1x2y = 1 + \frac { 1 } { x ^ { 2 } } \quady=1+x21​ stretched vertically by a factor of 5

Simplify the expression. - log⁡1010\log _ { 10 } 10log10​10

Graph the function. - Graph two periods of the function f(x)=−cot⁡x2+1. \text { Graph two periods of the function } f ( x ) = - \cot \frac { x } { 2 } + 1 \text {. } Graph two periods of the function f(x)=−cot2x​+1.

Use a graphing calculator or computer to determine which of the given viewing windows displays the most appropriate graph of the specified function. - f(x)=10+8x−x3f ( x ) = 10 + 8 x - x ^ { 3 }f(x)=10+8x−x3

Match the equation with its graph. - y=2xy=2 xy=2x

Use the appropriate addition formula to find the exact value of the expression. - cos⁡(−7π12)\cos \left( - \frac { 7 \pi } { 12 } \right)cos(−127π​)

Solve for the angle , where 0 2 - cos⁡2θ=34\cos ^ { 2 } \theta = \frac { 3 } { 4 }cos2θ=43​

State the period of the function and graph. - −cos⁡6x- \cos 6 x−cos6x

Solve for t or y, as appropriate. - e(ln⁡0.3)t=0.6e ^ { ( \ln 0.3 ) t } = 0.6e(ln0.3)t=0.6

Solve the problem. -If you roll a 1 -m-diameter wheel forward 34 centimeters over level ground, through what angle (to the nearest degree) will the wheel turn?

Find the domain and graph the function. - F(x)=−xF(x)=\sqrt{-x}F(x)=−x​

Limits and Continuity

Derivatives

Applications of Derivatives

Integrals

Applications of Definite Integrals

Integrals and Transcendental Functions

Techniques of Integration

First-Order Differential Equations

Infinite Sequences and Series

Parametric Equations and Polar Coordinates

Vectors and the Geometry of Space

Vector-Valued Functions and Motion in Space

Partial Derivatives

Multiple Integrals

Integrals and Vector Fields

Filters

Find the exact function value. -tan^-1(1)

Use a graphing calculator or computer to determine which of the given viewing windows displays the most appropriate graph of the specified function. - $f ( x ) = \frac { 10 } { x ^ { 2 } - 8 }$

Find the exact value of the trigonometric function. Do not use a calculator or tables. - $\cos \left( \frac { 5 \pi } { 6 } \right)$

Simplify the expression. - $25 ^ { \log 5 x }$

Graph the function. - $y=\sqrt{|x|}+4$ $Graph the function. - y=\sqrt{|x|}+4$

Consider the function y Can x be 0? - $\text { Graph the function } f ( x ) = \lfloor x \rfloor \text {. }$ $Consider the function y Can x be 0? - \text { Graph the function } f ( x ) = \lfloor x \rfloor \text {. }$

Graph the function. Determine the symmetry, if any, of the function. - $y = - \frac { 1 } { x ^ { 2 } }$ $Graph the function. Determine the symmetry, if any, of the function. - y = - \frac { 1 } { x ^ { 2 } }$

The problem tells by what factor and direction the graph of the given function is to be stretched or compressed. Give an equation for the stretched or compressed graph. - $y = 1 + \frac { 1 } { x ^ { 2 } } \quad$ stretched vertically by a factor of 5

Simplify the expression. - $\log _ { 10 } 10$

Graph the function. - $\text { Graph two periods of the function } f ( x ) = - \cot \frac { x } { 2 } + 1 \text {. }$ $Graph the function. - \text { Graph two periods of the function } f ( x ) = - \cot \frac { x } { 2 } + 1 \text {. }$

Use a graphing calculator or computer to determine which of the given viewing windows displays the most appropriate graph of the specified function. - $f ( x ) = 10 + 8 x - x ^ { 3 }$

Match the equation with its graph. - $y=2 x$

Use the appropriate addition formula to find the exact value of the expression. - $\cos \left( - \frac { 7 \pi } { 12 } \right)$

Solve for the angle , where 0 2 - $\cos ^ { 2 } \theta = \frac { 3 } { 4 }$

State the period of the function and graph. - $- \cos 6 x$ $State the period of the function and graph. - - \cos 6 x$

Solve for t or y, as appropriate. - $e ^ { ( \ln 0.3 ) t } = 0.6$

Find the domain and graph the function. - $F(x)=\sqrt{-x}$ $Find the domain and graph the function. - F(x)=\sqrt{-x}$