Question 1

Find the (x,y) pair for the value of the parameter.
-$x = 3 t - 8$ and $y = 19 - 7 t$ for $t = 2$

Accepted Answer

A)  $( 6,19 )$ 
B)  $( 5 , - 2 )$ 
C)  $( 6 , - 14 )$ 
D)  $( - 2,5 )$ 
A)  $( 6,19 )$ 
B)  $( 5 , - 2 )$ 
C)  $( 6 , - 14 )$ 
D)  $( - 2,5 )$

Question 2

Write the word or phrase that best completes each statement or answers the question.
Sketch the graph of the given function based on the graph of the function f given below.
-$$\text { Sketch the graph of } y = 1 + f ( - x )$$

Accepted Answer

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

Question 3

Choose the one alternative that best completes the statement or answers the question.
-Sketch the graph of $y = - x ^ { 2 }$. At which of these points is the function decreasing?

Accepted Answer

A)  0 
B)  $- 3$ 
C)  $- 5$ 
D)  3 
A)  0 
B)  $- 3$ 
C)  $- 5$ 
D)  3

Question 4

Determine if the function is bounded above, bounded below, bounded on its domain, or unbounded on its domain.
-$$y = 1 - x ^ { 2 }$$

Accepted Answer

A)  Bounded above 
B)  Bounded domain 
C)  Unbounded 
D)  Bounded below 
A)  Bounded above 
B)  Bounded domain 
C)  Unbounded 
D)  Bounded below

Question 5

Match the equation with the appropriate graph.
-$$f ( x ) = \frac { 6 x } { x ^ { 2 } - 1 }$$

Accepted Answer

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

Question 6

Determine algebraically whether the function is even, odd, or neither even nor odd.
-$$f ( x ) = x + \frac { 20 } { x }$$

Accepted Answer

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

Question 7

Find the domain of the given function.
-$$f ( x ) = \frac { ( x + 6 ) ( x - 6 ) } { x ^ { 2 } + 36 }$$

Accepted Answer

A)  $( 36 , \infty )$ 
B)  $( - \infty , - 36 ) \cup ( - 36,36 ) \cup ( 36 , \infty )$ 
C)  $( - \infty , 6 ) \cup ( - 6,6 ) \cup ( 6 , \infty )$ 
D)  All real numbers 
A)  $( 36 , \infty )$ 
B)  $( - \infty , - 36 ) \cup ( - 36,36 ) \cup ( 36 , \infty )$ 
C)  $( - \infty , 6 ) \cup ( - 6,6 ) \cup ( 6 , \infty )$ 
D)  All real numbers

Question 8

Find the inverse of the function.
-$$f ( x ) = 2 x - 8$$

Accepted Answer

A)  $\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = \frac { \mathrm { x } } { 2 } + 8$ 
B)  $\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = \frac { \mathrm { x } - 8 } { 2 }$ 
C)  Not a one-to-one function 
D)  $\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = \frac { \mathrm { x } + 8 } { 2 }$ 
A)  $\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = \frac { \mathrm { x } } { 2 } + 8$ 
B)  $\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = \frac { \mathrm { x } - 8 } { 2 }$ 
C)  Not a one-to-one function 
D)  $\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = \frac { \mathrm { x } + 8 } { 2 }$

Question 9

Tell which of the following types of regression is likely to give the most accurate model for the scatter plot shown: linear
regression, quadratic regression, cubic regression, exponential regression, sinusoidal regression.
-

Accepted Answer

A)  Cubic regression 
B)  Linear regression 
C)  Exponential regression 
D)  Sinusoidal regression 
E)  Quadratic regression 
A)  Cubic regression 
B)  Linear regression 
C)  Exponential regression 
D)  Sinusoidal regression 
E)  Quadratic regression

Question 10

Choose the one alternative that best completes the statement or answers the question.
Graph the piecewise-defined function.
-$y(x)=\left\{\begin{array}{l}
10 x+5, \text { if } x<0 \
5 x^{2}-1, \text { if } x \geq 0
\end{array}\right.$

Accepted Answer

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

Question 11

Find the asymptote(s) of the given function.
-$h ( x ) = \frac { 18 x ^ { 2 } } { 6 x ^ { 2 } - 6 }$ horizontal asymptotes(s)

Accepted Answer

A)  None 
B)  $y = 3$ 
C)  $y = 6$ 
D)  $y = \sqrt { 6 }$ 
A)  None 
B)  $y = 3$ 
C)  $y = 6$ 
D)  $y = \sqrt { 6 }$

Question 12

Determine algebraically whether the function is even, odd, or neither even nor odd.
-$$f ( x ) = 3 x ^ { 2 } - 4$$

Accepted Answer

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

Question 13

Write the word or phrase that best completes each statement or answers the question.
Sketch the graph of the given function based on the graph of the function f given below.
-$$\text { Sketch the graph of } y = 2 f ( x + 1 ) \text {. }$$

Accepted Answer

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

Question 14

Find a direct relationship between x and y.
-$x = t - 8$ and $y = t ^ { 2 } - 5 t$

Accepted Answer

A)  $y = x ^ { 2 } - 21 x + 104$ 
B)  $y = x ^ { 2 } + 11 x + 24$ 
C)  $y = x ^ { 2 } + x + 56$ 
D)  $y = x ^ { 2 } + 17 x + 72$ 
A)  $y = x ^ { 2 } - 21 x + 104$ 
B)  $y = x ^ { 2 } + 11 x + 24$ 
C)  $y = x ^ { 2 } + x + 56$ 
D)  $y = x ^ { 2 } + 17 x + 72$

Question 15

Determine whether the formula determines y as a function of x.
-$$y = \sqrt [ 5 ] { x }$$

Accepted Answer

A) True 
 B)False

Question 16

Determine if the function is one-to-one.
-

Accepted Answer

A) True 
 B)False

Question 17

Perform the requested operation or operations. Find the domain of each.
-$$f ( x ) = 5 x + 4 ; g ( x ) = 4 x - 5$$
Find f/g.

Accepted Answer

A)  $( f / g ) ( x ) = \frac { 5 x + 4 } { 4 x - 5 } ;$ domain $\left\{ x \mid x \neq - \frac { 4 } { 5 } \right\}$ 
B)  $( \mathrm { f } / \mathrm { g } ) ( \mathrm { x } ) = \frac { 5 \mathrm { x } + 4 } { 4 \mathrm { x } - 5 }$; domain $\left\{ x \mid x \neq \frac { 5 } { 4 } \right\}$ 
C)  $( f / g ) ( x ) = \frac { 4 x - 5 } { 5 x + 4 } ;$ domain $\left\{ x \mid x \neq \frac { 5 } { 4 } \right\}$ 
D)  $( f / g ) ( x ) = \frac { 4 x - 5 } { 5 x + 4 } ;$ domain $\left\{ x \mid x z - \frac { 4 } { 5 } \right\}$ 
A)  $( f / g ) ( x ) = \frac { 5 x + 4 } { 4 x - 5 } ;$ domain $\left\{ x \mid x \neq - \frac { 4 } { 5 } \right\}$ 
B)  $( \mathrm { f } / \mathrm { g } ) ( \mathrm { x } ) = \frac { 5 \mathrm { x } + 4 } { 4 \mathrm { x } - 5 }$; domain $\left\{ x \mid x \neq \frac { 5 } { 4 } \right\}$ 
C)  $( f / g ) ( x ) = \frac { 4 x - 5 } { 5 x + 4 } ;$ domain $\left\{ x \mid x \neq \frac { 5 } { 4 } \right\}$ 
D)  $( f / g ) ( x ) = \frac { 4 x - 5 } { 5 x + 4 } ;$ domain $\left\{ x \mid x z - \frac { 4 } { 5 } \right\}$

Question 18

Identify which of the twelve basic functions listed below fit the description given.
-The two functions with bounded domains

Accepted Answer

A)  $y = \sqrt { x } , y = \frac { 1 } { 1 + e ^ { - x } }$ 
B)  $y = e ^ { x } , y = \ln x$ 
C)  $y = \sin x , y = \cos x$ 
D)  $y = \sqrt { x } , y = \ln x$ 
A)  $y = \sqrt { x } , y = \frac { 1 } { 1 + e ^ { - x } }$ 
B)  $y = e ^ { x } , y = \ln x$ 
C)  $y = \sin x , y = \cos x$ 
D)  $y = \sqrt { x } , y = \ln x$

Question 19

Perform the requested operation or operations. Find the domain of each.
-$$f ( x ) = \sqrt { 3 x + 4 } , g ( x ) = \sqrt { 4 x - 16 }$$
Find $f g$.

Accepted Answer

A)  $( 3 x + 4 ) ( 2 x - 4 )$; domain: $( - \infty , \infty )$ 
B)  $( \sqrt { 3 x + 4 } ) ( \sqrt { 4 x - 16 } )$; domain: $[ 4 , \infty )$ 
C)  $( 2 x - 4 ) ( \sqrt { 3 x + 4 } )$; domain: $\left[ - \frac { 4 } { 3 } , \infty \right)$ 
D)  $( 3 x + 4 ) ( 4 x - 16 )$; domain: $( - \infty , \infty )$ 
A)  $( 3 x + 4 ) ( 2 x - 4 )$; domain: $( - \infty , \infty )$ 
B)  $( \sqrt { 3 x + 4 } ) ( \sqrt { 4 x - 16 } )$; domain: $[ 4 , \infty )$ 
C)  $( 2 x - 4 ) ( \sqrt { 3 x + 4 } )$; domain: $\left[ - \frac { 4 } { 3 } , \infty \right)$ 
D)  $( 3 x + 4 ) ( 4 x - 16 )$; domain: $( - \infty , \infty )$

Question 20

Find the asymptote(s) of the given function.
-$f ( x ) = \frac { 4 x ^ { 2 } + 5 } { 4 x ^ { 2 } - 5 }$ horizontal asymptotes(s)

Accepted Answer

A)  $y = 1$ 
B)  $y = - 5$ 
C)  $y = 5$ 
D)  None 
A)  $y = 1$ 
B)  $y = - 5$ 
C)  $y = 5$ 
D)  None

Find the (x,y) pair for the value of the parameter. - $x = 3 t - 8$ and $y = 19 - 7 t$ for $t = 2$

Choose the one alternative that best completes the statement or answers the question. -Sketch the graph of $y = - x ^ { 2 }$ . At which of these points is the function decreasing?

Determine if the function is bounded above, bounded below, bounded on its domain, or unbounded on its domain. - $y = 1 - x ^ { 2 }$

Match the equation with the appropriate graph. - $f ( x ) = \frac { 6 x } { x ^ { 2 } - 1 }$

Determine algebraically whether the function is even, odd, or neither even nor odd. - $f ( x ) = x + \frac { 20 } { x }$

Find the domain of the given function. - $f ( x ) = \frac { ( x + 6 ) ( x - 6 ) } { x ^ { 2 } + 36 }$

Find the inverse of the function. - $f ( x ) = 2 x - 8$

Tell which of the following types of regression is likely to give the most accurate model for the scatter plot shown: linear regression, quadratic regression, cubic regression, exponential regression, sinusoidal regression. -

Find the asymptote(s) of the given function. - $h ( x ) = \frac { 18 x ^ { 2 } } { 6 x ^ { 2 } - 6 }$ horizontal asymptotes(s)

Determine algebraically whether the function is even, odd, or neither even nor odd. - $f ( x ) = 3 x ^ { 2 } - 4$

Find a direct relationship between x and y. - $x = t - 8$ and $y = t ^ { 2 } - 5 t$

Determine whether the formula determines y as a function of x. - $y = \sqrt [ 5 ] { x }$

Determine if the function is one-to-one. -

Perform the requested operation or operations. Find the domain of each. - $f ( x ) = 5 x + 4 ; g ( x ) = 4 x - 5$ Find f/g.

Identify which of the twelve basic functions listed below fit the description given. -The two functions with bounded domains

Perform the requested operation or operations. Find the domain of each. - $f ( x ) = \sqrt { 3 x + 4 } , g ( x ) = \sqrt { 4 x - 16 }$ Find $f g$ .

Find the asymptote(s) of the given function. - $f ( x ) = \frac { 4 x ^ { 2 } + 5 } { 4 x ^ { 2 } - 5 }$ horizontal asymptotes(s)

Polynomial, Power, and Rational Functions

Exponential, Logistic, and Logarithmic Functions

Trigonometric Functions

Analytic Trigonometry

Applications of Trigonometry

Systems and Matrices

Analytic Geometry in Two and Three Dimensions

Discrete Mathematics

Statistics and Probability

An Introduction to Calculus: Limits, Derivatives, and Integrals

Prerequisites

Filters

Exam 1: Functions and Graphs

Find the (x,y) pair for the value of the parameter. - x=3t−8x = 3 t - 8x=3t−8 and y=19−7ty = 19 - 7 ty=19−7t for t=2t = 2t=2

Write the word or phrase that best completes each statement or answers the question. Sketch the graph of the given function based on the graph of the function f given below. - Sketch the graph of y=1+f(−x)\text { Sketch the graph of } y = 1 + f ( - x ) Sketch the graph of y=1+f(−x)

Choose the one alternative that best completes the statement or answers the question. -Sketch the graph of y=−x2y = - x ^ { 2 }y=−x2 . At which of these points is the function decreasing?

Determine if the function is bounded above, bounded below, bounded on its domain, or unbounded on its domain. - y=1−x2y = 1 - x ^ { 2 }y=1−x2

Match the equation with the appropriate graph. - f(x)=6xx2−1f ( x ) = \frac { 6 x } { x ^ { 2 } - 1 }f(x)=x2−16x​

Determine algebraically whether the function is even, odd, or neither even nor odd. - f(x)=x+20xf ( x ) = x + \frac { 20 } { x }f(x)=x+x20​

Find the domain of the given function. - f(x)=(x+6)(x−6)x2+36f ( x ) = \frac { ( x + 6 ) ( x - 6 ) } { x ^ { 2 } + 36 }f(x)=x2+36(x+6)(x−6)​

Find the inverse of the function. - f(x)=2x−8f ( x ) = 2 x - 8f(x)=2x−8