Question 1

Which of the following sets is the set of all real numbers x such that 1x3?

Accepted Answer

{x|1x3}

Question 2

Which of the following statements about the set of real numbers &#x211D; is TRUE?

Accepted Answer

It contains both rational and irrational numbers.

Question 3

Suppose f(x)=2x+3. What is the slope of the graph of f?

Accepted Answer

2

Question 4

Which of the following is the correct definition of the domain of a function f?

Accepted Answer

The set of all possible values x for which f(x) is defined.

Question 5

If f(x)=x, what is the domain of f?

Accepted Answer

{x|x&ge;0}

Question 6

Which of the following is an example of a function that is NOT one-to-one?

Accepted Answer

f(x)=x2

Question 7

A function f is defined by f(x)=1x-2. What is the domain of f?

Accepted Answer

{x|x&ne;2}

Question 8

Which of the following best describes the range of the function f(x)=x2 for x in &#x211D;?

Accepted Answer

{y|y&ge;0}

Question 9

Which of the following is the correct interval notation for the set {x|2&le;x5}?

Accepted Answer

[2,5)

Question 10

Which of the following is the decimal expansion of 13?

Accepted Answer

0.333333&#x2026;

Question 11

Which of the following is NOT a real number?

Accepted Answer

-1

Question 12

If f(x)=5 for all x, what is the graph of f?

Accepted Answer

A horizontal line at y=5

Question 13

Which of the following is the correct set notation for the set of all real numbers except 0?

Accepted Answer

{x|x&ne;0}

Question 14

Which of the following is the correct way to represent the solution set of x2=4?

Accepted Answer

{2,-2}

Question 15

Which of the following is the correct definition of a function?

Accepted Answer

A rule which assigns to each value in the domain exactly one value in the range.

Question 16

If f(x)=3x+2 and g(x)=2x-1, what is (f+g)(x)?

Accepted Answer

5x+1

Question 17

Which of the following is the correct graphical interpretation of the solution to f(x)=0?

Accepted Answer

The x-intercepts of the graph of f

Question 18

Which of the following is the correct set notation for the union of sets A and B?

Accepted Answer

A&cup;B

MATH 221: First Semester Calculus – Study Notes (Chapter 1: Numbers and Functions)

Study Guide - Practice Questions