Question 1

Given the graph of the one-to-one function

Accepted Answer

The answer of Given the graph of the one-to-one function
...

Question 2

Given the function f(x) = 2x - 1, evaluate f(x + 5).

Accepted Answer

A)  2x + 9 
B)  2x - 9 
C)  2x2 + 9 
D)  2x + 4 
A)  2x + 9 
B)  2x - 9 
C)  2x2 + 9 
D)  2x + 4

Question 3

Assume that the market price p and the number of units for sale x are related by the demand equation: 
   Assume that the cost C(x) of producing x items is governed by the equation
   and the revenue R(x) generated by selling x units is governed by
   a. Write the cost as a function of price p.
b. Write the revenue as a function of price p.
c. Write the profit as a function of price p.

Accepted Answer

The answer of Assume that the market price p and...

Question 4

Given the function
 
, state the domain in interval notation.

Accepted Answer

A)  (-$\infty$ , 19] 
B)  (19 , $\infty$) 
C)  (-$\infty$ , $\infty$) 
D)  (-$\infty$ , 19) 
A)  (-$\infty$ , 19] 
B)  (19 , $\infty$) 
C)  (-$\infty$ , $\infty$) 
D)  (-$\infty$ , 19)

Question 5

(a) Graph the piece-wise function. (b) State the domain and range in interval notation. (c) Determine the intervals when the function is increasing, decreasing, or constant.

Accepted Answer

Part A:
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Question 6

Given the function G(x) = 6 - 5x, evaluate G(6x + 3).

Accepted Answer

A)  -30x2 + 21x + 18 
B)  -30x2 + 9 
C)  -30x - 21 
D)  -30x - 9 
A)  -30x2 + 21x + 18 
B)  -30x2 + 9 
C)  -30x - 21 
D)  -30x - 9

Question 7

Given the function   
and g(x) = |x|, find

Accepted Answer

A)  -45 / 4 
B)  45 / 4 
C)    
D)    
A)  -45 / 4 
B)  45 / 4 
C)    
D)

Question 8

The graph of
 
Is reflected about the x-axis and shifted to the left 8. Write the resulting function.

Accepted Answer

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

Question 9

The function f(x) = (x - 3)2 + 9, x $\ge$3 is a one-to-one function. Find its inverse.

Accepted Answer

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

Question 10

Given the graph of a one-to-one function: plot its inverse.

Accepted Answer

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

Question 11

Determine if the function g(x) = 9 + x is even, odd, or neither even nor odd.

Accepted Answer

A)  even 
B)  odd 
C)  neither even nor odd 
A)  even 
B)  odd 
C)  neither even nor odd

Question 12

Write the function whose graph is the function y = |x| transformed by
A) . Shifting to the right 19 units and down 14 units.
B) . Reflecting about the y-axis.
C) . Reflected about the x-axis.
D) . Vertically stretched by a factor of 3.
E) . Horizontally stretched by a factor 5.
F) . Vertically compressed by a factor of 2.
G) . Horizontally compressed by a factor of 5.

Accepted Answer

A). y = |x - 19| - 1

Question 13

Given the function
 
, state the domain in interval notation.

Accepted Answer

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

Question 14

Verify that the function 
   
is the inverse of

Accepted Answer

A) True 
 B)False

Question 15

Let
 
And find the values of x that corresponds to f(x) = 0.

Accepted Answer

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

Question 16

Write the function resulting from shifting f(x) = 8x2 + 4 to the left 5 and up 10.

Accepted Answer

A)  y = 8(x + 5)2 + 14 
B)  y = 8(x + 5)2 + 10 
C)  y = 8(x - 5)2 + 10 
D)  y = 8(x - 5)2 + 14 
A)  y = 8(x + 5)2 + 14 
B)  y = 8(x + 5)2 + 10 
C)  y = 8(x - 5)2 + 10 
D)  y = 8(x - 5)2 + 14

Question 17

Given the function f(x) = x2 - 3x + 2, evaluate f(x) - f(7).

Accepted Answer

A)  x2 - 3x + 28 
B)  x2 - 3x - 30 
C)  x2 - 3x - 28 
D)  x - 7 
A)  x2 - 3x + 28 
B)  x2 - 3x - 30 
C)  x2 - 3x - 28 
D)  x - 7

Question 18

Verify that the function 
   
is the inverse of

Accepted Answer

A) True 
 B)False

Question 19

Use the given graph to evaluate the functional values.
y = r(x)
   a. r(0) b. r(2)

Accepted Answer

The answer of Use the given graph to evaluate the...

Question 20

Given the functions 
   
, and
   
, find
   
and

Accepted Answer

The answer of Given the functions 
   
,...

Given the graph of the one-to-one function

Given the function f(x) = 2x - 1, evaluate f(x + 5).

Given the function , state the domain in interval notation.

(a) Graph the piece-wise function. (b) State the domain and range in interval notation. (c) Determine the intervals when the function is increasing, decreasing, or constant.

Given the function G(x) = 6 - 5x, evaluate G(6x + 3).

Given the function and g(x) = |x|, find

The graph of Is reflected about the x-axis and shifted to the left 8. Write the resulting function.

The function f(x) = (x - 3)² + 9, x $\ge$ 3 is a one-to-one function. Find its inverse.

Given the graph of a one-to-one function: plot its inverse.

Determine if the function g(x) = 9 + x is even, odd, or neither even nor odd.

Given the function , state the domain in interval notation.

Verify that the function is the inverse of

Let And find the values of x that corresponds to f(x) = 0.

Write the function resulting from shifting f(x) = 8x² + 4 to the left 5 and up 10.

Given the function f(x) = x² - 3x + 2, evaluate f(x) - f(7).

Verify that the function is the inverse of

Use the given graph to evaluate the functional values. y = r(x) a. r(0) b. r(2)

Given the functions , and , find and

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Trigonometric Functions of Angles

Trigonometric Functions of Real Numbers

Analytic Trigonometry

Vectors, the Complex Plane, and Polar Coordinates

Systems of Linear Equations and Inequalities

Conics, Systems of Nonlinear Equations and Inequalities, and Parametric Equations

Sequences and Series

Limits: A Preview to Calculus

Review: Equations and Inequalities

Filters

Exam 1: Functions and Their Graphs

Given the graph of the one-to-one function

Given the function f(x) = 2x - 1, evaluate f(x + 5).

Given the function , state the domain in interval notation.

(a) Graph the piece-wise function. (b) State the domain and range in interval notation. (c) Determine the intervals when the function is increasing, decreasing, or constant.

Given the function G(x) = 6 - 5x, evaluate G(6x + 3).

Given the function and g(x) = |x|, find

The graph of Is reflected about the x-axis and shifted to the left 8. Write the resulting function.

The function f(x) = (x - 3)2 + 9, x ≥\ge≥ 3 is a one-to-one function. Find its inverse.

Given the graph of a one-to-one function: plot its inverse.

Determine if the function g(x) = 9 + x is even, odd, or neither even nor odd.

Given the function , state the domain in interval notation.

Verify that the function is the inverse of

Let And find the values of x that corresponds to f(x) = 0.

Write the function resulting from shifting f(x) = 8x2 + 4 to the left 5 and up 10.

Given the function f(x) = x2 - 3x + 2, evaluate f(x) - f(7).

Verify that the function is the inverse of

Use the given graph to evaluate the functional values. y = r(x) a. r(0) b. r(2)

Given the functions , and , find and

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Trigonometric Functions of Angles

Trigonometric Functions of Real Numbers

Analytic Trigonometry

Vectors, the Complex Plane, and Polar Coordinates

Systems of Linear Equations and Inequalities

Conics, Systems of Nonlinear Equations and Inequalities, and Parametric Equations

Sequences and Series

Limits: A Preview to Calculus

Review: Equations and Inequalities

Filters

The function f(x) = (x - 3)² + 9, x $\ge$ 3 is a one-to-one function. Find its inverse.

Write the function resulting from shifting f(x) = 8x² + 4 to the left 5 and up 10.

Given the function f(x) = x² - 3x + 2, evaluate f(x) - f(7).