Question 1

Give the domain and range of the function.
-

Accepted Answer

A)  Domain: all real numbers; Range: [-4, $\infty$) 
B)  Domain: [0, ?); Range: [0, $\infty$) 
C)  Domain: all real numbers; Range: [ 2,$\infty$) 
D)  Domain: [ 4, $\infty$); Range: all real numbers 
A)  Domain: all real numbers; Range: [-4, $\infty$) 
B)  Domain: [0, ?); Range: [0, $\infty$) 
C)  Domain: all real numbers; Range: [ 2,$\infty$) 
D)  Domain: [ 4, $\infty$); Range: all real numbers

Question 2

Determine the domain of the function:
-

Accepted Answer

A)  x ? 3 
B)  All real numbers except 3 
C)  x < 3 
D)  No solution 
A)  x ? 3 
B)  All real numbers except 3 
C)  x < 3 
D)  No solution

Question 3

For the following problem, (i) graph f and g in the same coordinate system; (ii) solve f(x) = g(x) algebraically to two decimal places; (iii) solve f(x) > g(x) using parts i and ii; (iv) solve f(x) < g(x) using parts i and ii.
-f(x) = -0.8x(x - 8), g(x) = 0.4x + 3.2; 0 ? x ? 10

Accepted Answer

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

Question 4

For the given function, find each of the following:
(A) Intercepts
(B) Vertex
(C) Maximum or minimum
(D) Range
-

Accepted Answer

A)  (
A)  x-intercepts: -4, 2; y-intercept: -8
(
B)  Vertex ( 1, -9)
(
C)  Minimum: -9
(
D)  y $\ge$ -9 
B)  (
A)  x-intercepts: - 2, 4; y-intercept: -8
(
B)  Vertex ( 1, -9)
(
C)  Maximum: -9
(
D)  y $\le$ -9 
C)  (
A)  x-intercepts: - 2, 4; y-intercept: -8
(
B)  Vertex ( 1, -9)
(
C)  Minimum: -9
(
D)  y$\ge$ -9 
D)  (
A)  x-intercepts: - 2, 4; y-intercept: -8
(
B)  Vertex ( -1, -9)
(
C)  Minimum: -9
(
D)  y $\ge$ -9 
A)  (
A)  x-intercepts: -4, 2; y-intercept: -8
(
B)  Vertex ( 1, -9)
(
C)  Minimum: -9
(
D)  y $\ge$ -9 
B)  (
A)  x-intercepts: - 2, 4; y-intercept: -8
(
B)  Vertex ( 1, -9)
(
C)  Maximum: -9
(
D)  y $\le$ -9 
C)  (
A)  x-intercepts: - 2, 4; y-intercept: -8
(
B)  Vertex ( 1, -9)
(
C)  Minimum: -9
(
D)  y$\ge$ -9 
D)  (
A)  x-intercepts: - 2, 4; y-intercept: -8
(
B)  Vertex ( -1, -9)
(
C)  Minimum: -9
(
D)  y $\ge$ -9

Question 5

Compute and simplify the difference quotient  
-

Accepted Answer

A)  10x + 7 
B)  10x + 5h + 7 
C)    
D)  15x - 7h + 14 
A)  10x + 7 
B)  10x + 5h + 7 
C)    
D)  15x - 7h + 14

Question 6

Give the domain and range of the function.
-

Accepted Answer

A)  Domain: all real numbers; Range: [ - 5, $\infty$) 
B)  Domain: all real numbers; Range: all real numbers 
C)  Domain: [ - 5,$\infty$); Range: all real numbers 
D)  Domain: all real numbers; Range: [0, $\infty$) 
A)  Domain: all real numbers; Range: [ - 5, $\infty$) 
B)  Domain: all real numbers; Range: all real numbers 
C)  Domain: [ - 5,$\infty$); Range: all real numbers 
D)  Domain: all real numbers; Range: [0, $\infty$)

Question 7

The number of books in a community college library increases according to the function   where t is measured in years. How many books will the library have after 8 year(s)?

Accepted Answer

A)  4462 
B)  7200 
C)  9153 
D)  10,275 
A)  4462 
B)  7200 
C)  9153 
D)  10,275

Question 8

A retail chain sells washing machines. The retail price p(x) (in dollars) and the weekly demand x for a particular model are related by the function p(x) = 625 - 5   , where 50 $\le$ x $\le$ 500. (i) Describe how the graph of the function p can be obtained from the graph of one of the six basic functions: y = x,     y =   , y =   , or y =   . (ii) Sketch a graph of function p using part (i) as an aid.

Accepted Answer

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

Question 9

Evaluate:
-

Accepted Answer

A)  4 
B)    
C)  32 
D)  8 
A)  4 
B)    
C)  32 
D)  8

Question 10

Give the domain and range of the function.
-

Accepted Answer

A)  Domain: (   , $\infty$); Range: (-$\infty$, 0] 
B)  Domain: (-$\infty$, 5) $\cup$ ( 5, $\infty$); Range: (-$\infty$, 0) $\cup$ (0, $\infty$) 
C)  Domain: all real numbers; Range: [0, $\infty$) 
D)  Domain: (-$\infty$, 5]; Range: [0, $\infty$) 
A)  Domain: (   , $\infty$); Range: (-$\infty$, 0] 
B)  Domain: (-$\infty$, 5) $\cup$ ( 5, $\infty$); Range: (-$\infty$, 0) $\cup$ (0, $\infty$) 
C)  Domain: all real numbers; Range: [0, $\infty$) 
D)  Domain: (-$\infty$, 5]; Range: [0, $\infty$)

Question 11

Determine if the equation specifies a function with independent variable x. If so, find the domain. If not, find a value of x to which there corresponds more than one value of y:
-y = x2 - 8
A) A function with domain ℛ
B) Not a function; for example, when x = -8, then y = ±1

Accepted Answer

Question 12

Solve for x to two decimal places (using a calculator):
-

Accepted Answer

A)  1.35 
B)  1.40 
C)  520 
D)  8.58 
A)  1.35 
B)  1.40 
C)  520 
D)  8.58

Question 13

Graph the function:
-

Accepted Answer

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

Question 14

The following table shows a recent state income tax schedule for married couples filing a joint return in State X.  
(i) Write a piecewise definition for the tax due T(x) on an income of x dollars. (ii) Graph T(x). (iii) Find the tax due on a taxable income of $50,000. Of $95,000.

Accepted Answer

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

Question 15

Determine if the equation specifies a function with independent variable x. If so, find the domain. If not, find a value of x to which there corresponds more than one value of y:
-xy + 3y = 1
A) A function with domain all real numbers except x = -3
B) Not a function; for example, when x = 1, y = ±3

Accepted Answer

The answer of Determine if the equation specifies a function...

Question 16

For the polynomial function find the following: (i) Degree of the polynomial; (ii) All x intercepts; (iii) The y intercept.
-y = (x + 4)(x + 2)(x + 1)

Accepted Answer

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

Question 17

Solve the equation:
-Solve for

Accepted Answer

A)  -1 
B)  1 
C)  9 
D)  3 
A)  -1 
B)  1 
C)  9 
D)  3

Question 18

Determine the domain of the function:
-f(x) = - 7x + 9

Accepted Answer

A)  No solution 
B)    
C)  All real numbers 
D)    
A)  No solution 
B)    
C)  All real numbers 
D)

Question 19

Find the range of the given function. Express your answer in interval notation:
-

Accepted Answer

A)  [-3, $\infty$) 
B)  (-$\infty$, -3] 
C)  [5, $\infty$) 
D)  (-$\infty$, -5] 
A)  [-3, $\infty$) 
B)  (-$\infty$, -3] 
C)  [5, $\infty$) 
D)  (-$\infty$, -5]

Question 20

Determine whether the graph is the graph of a function.
-

Accepted Answer

A)  function 
B)  not a function 
A)  function 
B)  not a function

Give the domain and range of the function. -

Determine the domain of the function: -

For the following problem, (i) graph f and g in the same coordinate system; (ii) solve f(x) = g(x) algebraically to two decimal places; (iii) solve f(x) > g(x) using parts i and ii; (iv) solve f(x) < g(x) using parts i and ii. -f(x) = -0.8x(x - 8), g(x) = 0.4x + 3.2; 0 ? x ? 10

For the given function, find each of the following: (A) Intercepts (B) Vertex (C) Maximum or minimum (D) Range -

Compute and simplify the difference quotient -

Give the domain and range of the function. -

The number of books in a community college library increases according to the function where t is measured in years. How many books will the library have after 8 year(s)?

Evaluate: -

Give the domain and range of the function. -

Determine if the equation specifies a function with independent variable x. If so, find the domain. If not, find a value of x to which there corresponds more than one value of y: -y = x² - 8 A) A function with domain ℛ B) Not a function; for example, when x = -8, then y = ±1

Solve for x to two decimal places (using a calculator): -

Graph the function: -

The following table shows a recent state income tax schedule for married couples filing a joint return in State X. (i) Write a piecewise definition for the tax due T(x) on an income of x dollars. (ii) Graph T(x). (iii) Find the tax due on a taxable income of $50,000. Of $95,000.

Determine if the equation specifies a function with independent variable x. If so, find the domain. If not, find a value of x to which there corresponds more than one value of y: -xy + 3y = 1 A) A function with domain all real numbers except x = -3 B) Not a function; for example, when x = 1, y = ±3

For the polynomial function find the following: (i) Degree of the polynomial; (ii) All x intercepts; (iii) The y intercept. -y = (x + 4)(x + 2)(x + 1)

Solve the equation: -Solve for

Determine the domain of the function: -f(x) = - 7x + 9

Find the range of the given function. Express your answer in interval notation: -

Determine whether the graph is the graph of a function. -

Linear Equations and Graphs

Mathematics of Finance

Systems of Linear Equations; Matrices

Linear Inequalities and Linear Programming

Linear Programming: The Simplex Method

Logic, Sets, and Counting

Probability

Markov Chains

Data Description and Probability Distributions

Games and Decisions

Appendix A: Basic Algebra Review

Appendix B: Special Topics

Filters

Exam 2: Functions and Graphs

Give the domain and range of the function. -

Determine the domain of the function: -

For the following problem, (i) graph f and g in the same coordinate system; (ii) solve f(x) = g(x) algebraically to two decimal places; (iii) solve f(x) > g(x) using parts i and ii; (iv) solve f(x) < g(x) using parts i and ii. -f(x) = -0.8x(x - 8), g(x) = 0.4x + 3.2; 0 ? x ? 10

For the given function, find each of the following: (A) Intercepts (B) Vertex (C) Maximum or minimum (D) Range -

Compute and simplify the difference quotient -

Give the domain and range of the function. -

The number of books in a community college library increases according to the function where t is measured in years. How many books will the library have after 8 year(s)?

Evaluate: -

Give the domain and range of the function. -

Determine if the equation specifies a function with independent variable x. If so, find the domain. If not, find a value of x to which there corresponds more than one value of y: -y = x2 - 8 A) A function with domain ℛ B) Not a function; for example, when x = -8, then y = ±1

Solve for x to two decimal places (using a calculator): -

Graph the function: -

The following table shows a recent state income tax schedule for married couples filing a joint return in State X. (i) Write a piecewise definition for the tax due T(x) on an income of x dollars. (ii) Graph T(x). (iii) Find the tax due on a taxable income of $50,000. Of $95,000.

For the polynomial function find the following: (i) Degree of the polynomial; (ii) All x intercepts; (iii) The y intercept. -y = (x + 4)(x + 2)(x + 1)

Solve the equation: -Solve for

Determine the domain of the function: -f(x) = - 7x + 9

Find the range of the given function. Express your answer in interval notation: -

Determine whether the graph is the graph of a function. -

Linear Equations and Graphs

Mathematics of Finance

Systems of Linear Equations; Matrices

Linear Inequalities and Linear Programming

Linear Programming: The Simplex Method

Logic, Sets, and Counting

Probability

Markov Chains

Data Description and Probability Distributions

Games and Decisions

Appendix A: Basic Algebra Review

Appendix B: Special Topics

Filters

Determine if the equation specifies a function with independent variable x. If so, find the domain. If not, find a value of x to which there corresponds more than one value of y: -y = x² - 8 A) A function with domain ℛ B) Not a function; for example, when x = -8, then y = ±1