Question 1

Select the correct graph for the given function.? $$f ( x ) = 2 \sqrt { x }$$ ?

Accepted Answer

A) ?   
B) ?   
C) ?   
D) ?   
E) ?   
A) ?   
B) ?   
C) ?   
D) ?   
E) ?   D

Question 2

Select the graph of the function. $$f ( x ) = \left\{ \begin{array} { l l } 
2 x + 1 & x < 0 \
1 - x & x \geq 0
\end{array} \right.$$

Accepted Answer

A) ?   
B) ?   
C) ?   
D) ?   
E) ?   
A) ?   
B) ?   
C) ?   
D) ?   
E) ?   D

Question 3

Select the correct graph of the given function.? $$f ( x ) = \sqrt { x + 1 } + 2$$ ?

Accepted Answer

A) ?   
B) ?   
C) ?   
D) ?   
E) ?   
A) ?   
B) ?   
C) ?   
D) ?   
E) ?   A

Question 4

Select the correct graph of the given function.? $$f ( x ) = 2 - x ^ { 2 }$$ ?

Accepted Answer

A) ?   
B) ?   
C) ?   
D) ?   
E) ?   
A) ?   
B) ?   
C) ?   
D) ?   
E) ?

Question 5

Evaluate the function f(x)= 2[[x]] + 7 for x = -7. ​

Accepted Answer

A) ​ f(x)= -21 
B) ​ f(x)= 2 
C) ​ f(x)= -2 
D) ​ f(x)= -7 
E) ​ f(x)= 7 
A) ​ f(x)= -21 
B) ​ f(x)= 2 
C) ​ f(x)= -2 
D) ​ f(x)= -7 
E) ​ f(x)= 7

Question 6

Select the correct graph of the given function.? $$f ( x ) = - \frac { 8 } { x }$$ ?

Accepted Answer

A) ?   
B) ?   
C) ?   
D) ?   
E) ?   
A) ?   
B) ?   
C) ?   
D) ?   
E) ?

Question 7

Select the linear function such that it has the indicated function values.? $f ( 1 ) = 8 , f ( 0 ) = 7$ ?

Accepted Answer

A)  $f ( x ) = 4 x + 7$ 
B)  $f ( x ) = x + 7$ 
C)  $f ( x ) = 7 x - 3$ 
D)  $f ( x ) = x - 7$ 
E)  $f ( x ) = - 7 x - 7$ 
A)  $f ( x ) = 4 x + 7$ 
B)  $f ( x ) = x + 7$ 
C)  $f ( x ) = 7 x - 3$ 
D)  $f ( x ) = x - 7$ 
E)  $f ( x ) = - 7 x - 7$

Question 8

Which graph represents the function?? $$g ( x ) = 2 [ [ x ] ]$$ ?

Accepted Answer

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

Question 9

Select the correct graph for the given function.? $$f ( x ) = 6 ( x + 3 ) ^ { 3 } - 1$$ ?

Accepted Answer

A) ?   
B) ?   
C) ?   
D) ?   
E) ?   
A) ?   
B) ?   
C) ?   
D) ?   
E) ?

Question 10

Which function does the graph represent?

Accepted Answer

A) ​g(x)= [[3x]] 
B) ​g(x)= [[x+3]] 
C) ​g(x)= 3[[x]] 
D) ​g(x)= [[-4x]] 
E) ​g(x)= [[x-3]] 
A) ​g(x)= [[3x]] 
B) ​g(x)= [[x+3]] 
C) ​g(x)= 3[[x]] 
D) ​g(x)= [[-4x]] 
E) ​g(x)= [[x-3]]

Question 11

Select the graph of the function f(x)=   3[[x]]. ​

Accepted Answer

A)    
B) ​   
C) ​   
D) ​   
E) ​   
A)    
B) ​   
C) ​   
D) ​   
E) ​

Question 12

Evaluate the function f(x)= [[x]] for x = 9.2. ​

Accepted Answer

A) ​f(x)= 2 
B) ​f(x)= 10 
C) ​f(x)= 9 
D) ​f(x)= -9 
E) ​f(x)= 11 
A) ​f(x)= 2 
B) ​f(x)= 10 
C) ​f(x)= 9 
D) ​f(x)= -9 
E) ​f(x)= 11

Question 13

The table shows the monthly revenue y (in thousands of dollars)of a landscaping business for each month of the year 2008,with x = 1 representing January. 
$$\begin{array} { | c | c | } 
\hline x & y \
\hline 1 & 6.0 \
\hline 2 & 6.1 \
\hline 3 & 7.1 \
\hline 4 & 9.2 \
\hline 5 & 12.3 \
\hline 6 & 16.4 \
\hline 7 & 12.2 \
\hline 8 & 10.2 \
\hline 9 & 8.3 \
\hline 10 & 6.3 \
\hline 11 & 4.3 \
\hline 12 & 2.4 \
\hline
\end{array}$$
A mathematical model that represents these data is:$$f ( x ) = \left\{ \begin{array} { l l } 
0.505 x ^ { 2 } - 1.47 x + 7.0 & 1 \leq x \leq 6 \
- 1.97 x + 26.0 & 6 < x \leq 12
\end{array} \right.$$ 
Find f (1)and f (12).

Accepted Answer

A)  $f ( 1 ) = 2.860 , f ( 12 ) = 6.79$ 
B)  $f ( 1 ) = 3.360 , f ( 12 ) = 7.04$ 
C)  $f ( 1 ) = 6.035 , f ( 12 ) = 2.36$ 
D)  $f ( 1 ) = 2.860 , f ( 12 ) = 6.54$ 
E)  $f ( 1 ) = 2.860 , f ( 12 ) = 6.29$ 
A)  $f ( 1 ) = 2.860 , f ( 12 ) = 6.79$ 
B)  $f ( 1 ) = 3.360 , f ( 12 ) = 7.04$ 
C)  $f ( 1 ) = 6.035 , f ( 12 ) = 2.36$ 
D)  $f ( 1 ) = 2.860 , f ( 12 ) = 6.54$ 
E)  $f ( 1 ) = 2.860 , f ( 12 ) = 6.29$

Question 14

Evaluate the function $$h ( x ) = \left[ \left[ \frac { 1 } { 2 } x + 9 \right] \right]$$ for x = 6. ?

Accepted Answer

A) ?h(x)= 9 
B) ?h(x)= 3 
C) ?h(x)= -12 
D) ?h(x)= 12 
E) ?h(x)= -3 
A) ?h(x)= 9 
B) ?h(x)= 3 
C) ?h(x)= -12 
D) ?h(x)= 12 
E) ?h(x)= -3

Question 15

Select the correct graph of the given function.? $$f ( x ) = - \frac { 1 } { 6 } x - \frac { 5 } { 2 }$$ ?

Accepted Answer

A) ?   
B) ?   
C) ?   
D) ?   
E) ?   
A) ?   
B) ?   
C) ?   
D) ?   
E) ?

Question 16

Select the correct graph of the given function.? $$f ( x ) = 2 - | x |$$ ?

Accepted Answer

A) ?   
B) ?   
C) ?   
D) ?   
E) ?   
A) ?   
B) ?   
C) ?   
D) ?   
E) ?

Question 17

Select the correct graph of the given function.? $$f ( x ) = 2.7 x - 5.5$$ ?

Accepted Answer

A) ?   
B) ?   
C) ?   
D) ?   
E) ?   
A) ?   
B) ?   
C) ?   
D) ?   
E) ?

Question 18

Select the graph of the function.? $$f ( x ) = \left\{ \begin{array} { c c } 
3 + x ^ { 2 } & x < - 2 \
3 + x & - 2 \leq x < 2 \
x ^ { 2 } + 7 & x \geq 2
\end{array} \right.$$ ?

Accepted Answer

A) ?   
B) ?   
C) ?   
D) ?   
E) ?   
A) ?   
B) ?   
C) ?   
D) ?   
E) ?

Question 19

Evaluate the function for the indicated values. f (x)= 5[[x + 3]] - 5
(i)f (3)
(ii)f (-63.30)
(iii)f ( $\frac { 7 } { 8 }$ )
?

Accepted Answer

A) (i)25 (ii)-305 (iii)15 
B) ?(i)25 (ii)-305 (iii)10 
C) ?(i)26 (ii)-310 (iii)15 
D) ?(i)26 (ii)-310 (iii)10 
E) ?(i)25 (ii)-310 (iii)10 
A) (i)25 (ii)-305 (iii)15 
B) ?(i)25 (ii)-305 (iii)10 
C) ?(i)26 (ii)-310 (iii)15 
D) ?(i)26 (ii)-310 (iii)10 
E) ?(i)25 (ii)-310 (iii)10

Question 20

Identify the following function.? $f ( x ) = 8$ ?

Accepted Answer

A) Constant function 
B) Absolute value function 
C) Square root function 
D) Squaring function 
E) Identity function 
A) Constant function 
B) Absolute value function 
C) Square root function 
D) Squaring function 
E) Identity function

Exam 6: A Library of Parent Functions

Select the correct graph for the given function.? f(x)=2xf ( x ) = 2 \sqrt { x }f(x)=2x​ ?

Select the graph of the function. f(x)={2x+1x<01−xx≥0f ( x ) = \left\{ \begin{array} { l l } 2 x + 1 & x < 0 \\1 - x & x \geq 0\end{array} \right.f(x)={2x+11−x​x<0x≥0​

Select the correct graph of the given function.? f(x)=x+1+2f ( x ) = \sqrt { x + 1 } + 2f(x)=x+1​+2 ?

Select the correct graph of the given function.? f(x)=2−x2f ( x ) = 2 - x ^ { 2 }f(x)=2−x2 ?

Evaluate the function f(x)= 2[[x]] + 7 for x = -7. ​

Select the correct graph of the given function.? f(x)=−8xf ( x ) = - \frac { 8 } { x }f(x)=−x8​ ?

Select the linear function such that it has the indicated function values.? f(1)=8,f(0)=7f ( 1 ) = 8 , f ( 0 ) = 7f(1)=8,f(0)=7 ?

Which graph represents the function?? g(x)=2[[x]]g ( x ) = 2 [ [ x ] ]g(x)=2[[x]] ?

Select the correct graph for the given function.? f(x)=6(x+3)3−1f ( x ) = 6 ( x + 3 ) ^ { 3 } - 1f(x)=6(x+3)3−1 ?

Which function does the graph represent?

Select the graph of the function f(x)= 3[[x]]. ​

Evaluate the function f(x)= [[x]] for x = 9.2. ​

Evaluate the function h(x)=[[12x+9]]h ( x ) = \left[ \left[ \frac { 1 } { 2 } x + 9 \right] \right]h(x)=[[21​x+9]] for x = 6. ?

Select the correct graph of the given function.? f(x)=−16x−52f ( x ) = - \frac { 1 } { 6 } x - \frac { 5 } { 2 }f(x)=−61​x−25​ ?

Select the correct graph of the given function.? f(x)=2−∣x∣f ( x ) = 2 - | x |f(x)=2−∣x∣ ?

Select the correct graph of the given function.? f(x)=2.7x−5.5f ( x ) = 2.7 x - 5.5f(x)=2.7x−5.5 ?

Select the graph of the function.? f(x)={3+x2x<−23+x−2≤x<2x2+7x≥2f ( x ) = \left\{ \begin{array} { c c } 3 + x ^ { 2 } & x < - 2 \\3 + x & - 2 \leq x < 2 \\x ^ { 2 } + 7 & x \geq 2\end{array} \right.f(x)=⎩⎨⎧​3+x23+xx2+7​x<−2−2≤x<2x≥2​ ?

Evaluate the function for the indicated values. f (x)= 5[[x + 3]] - 5 (i)f (3) (ii)f (-63.30) (iii)f ( 78\frac { 7 } { 8 }87​ ) ?

Identify the following function.? f(x)=8f ( x ) = 8f(x)=8 ?

Rectangular Coordinates

Graphs of Equations

Linear Equations in Two Variables

Functions

Analyzing Graphs of Functions

Transformations of Functions

Combinations of Functions Composite Functions

Inverse Functions

Mathematical Modeling and Variation

Quadratic Functions and Models

Polynomial Functions of Higher Degree

Polynomial and Synthetic Division

Complex Numbers

Zeros of Polynomial Functions

Rational Functions

Nonlinear Inequalities

Exponential Functions and Their Graphs

Logarithmic Functions and Their Graphs

Properties of Logarithms

Exponential and Logarithmic Equations

Exponential and Logarithmic Models

Radian and Degree Measure

Trigonometric Functions The Unit Circle

Right Triangle Trigonometry

Trigonometric Functions of Any Angle

Graphs of Sine and Cosine Functions

Graphs of Other Trigonometric Functions

Inverse Trigonometric Functions

Applications and Models

Using Fundamental Identities

Verifying Trigonometric Equations

Solving Trigonometric Equations

Sum and Difference Formulas

Multiple Angle and Product to Sum Formulas

Law of Sines

Law of Cosines

Vectors in the Plane

Vectors and Dot Products

Trigonometric Form of a Complex Number

Linear and Nonlinear Systems of Equations

Two Variable Linear Systems

Multivariable Linear Systems

Partial Fractions

Systems of Inequalities

Linear Programming

Matrices and Systems of Equations

Operations With Matrices

The Inverse of a Square Matrix

The Determinant of a Square Matrix

Applications of Matrices and Determinants

Sequences and Series

Arithmetic Sequences and Partial Sums

Geometric Sequences and Series

Mathematical Induction

The Binomial Theorem

Counting Principles

Probability

Lines

Introduction to Conics Parabolas

Ellipses

Select the correct graph for the given function.? $f ( x ) = 2 \sqrt { x }$ ?

Select the graph of the function. $f ( x ) = \left\{ \begin{array} { l l } 2 x + 1 & x < 0 \\1 - x & x \geq 0\end{array} \right.$

Select the correct graph of the given function.? $f ( x ) = \sqrt { x + 1 } + 2$ ?

Select the correct graph of the given function.? $f ( x ) = 2 - x ^ { 2 }$ ?

Evaluate the function f(x)= 2[[x]] + 7 for x = -7.

Select the correct graph of the given function.? $f ( x ) = - \frac { 8 } { x }$ ?

Select the linear function such that it has the indicated function values.? $f ( 1 ) = 8 , f ( 0 ) = 7$ ?

Which graph represents the function?? $g ( x ) = 2 [ [ x ] ]$ ?

Select the correct graph for the given function.? $f ( x ) = 6 ( x + 3 ) ^ { 3 } - 1$ ?

Select the graph of the function f(x)= 3[[x]].

Evaluate the function f(x)= [[x]] for x = 9.2.

Evaluate the function $h ( x ) = \left[ \left[ \frac { 1 } { 2 } x + 9 \right] \right]$ for x = 6. ?

Select the correct graph of the given function.? $f ( x ) = - \frac { 1 } { 6 } x - \frac { 5 } { 2 }$ ?

Select the correct graph of the given function.? $f ( x ) = 2 - | x |$ ?

Select the correct graph of the given function.? $f ( x ) = 2.7 x - 5.5$ ?

Select the graph of the function.? $f ( x ) = \left\{ \begin{array} { c c } 3 + x ^ { 2 } & x < - 2 \\3 + x & - 2 \leq x < 2 \\x ^ { 2 } + 7 & x \geq 2\end{array} \right.$ ?

Evaluate the function for the indicated values. f (x)= 5[[x + 3]] - 5 (i)f (3) (ii)f (-63.30) (iii)f ( $\frac { 7 } { 8 }$ ) ?

Identify the following function.? $f ( x ) = 8$ ?