Question 1

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

Accepted Answer

{x|1x3}

Question 2

Which of the following numbers is NOT a rational number?

Accepted Answer

2

Question 3

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

Accepted Answer

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

Question 4

Suppose f(x)=1x. What is the domain of f?

Accepted Answer

{x|x&ne;0}

Question 5

Which of the following statements about real numbers is TRUE?

Accepted Answer

Every real number can be represented by an infinite decimal expansion.

Question 6

Given the function f(x)=2x+3, what is the slope of its graph?

Accepted Answer

2

Question 7

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

Accepted Answer

[2,5)

Question 8

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

Accepted Answer

{x|x&ge;0}

Question 9

Which of the following best describes a function?

Accepted Answer

A rule that assigns to each element in the domain exactly one element in the range.

Question 10

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 11

If f(x)=3x-4 and g(x)=2x+1, what is (f+g)(x)?

Accepted Answer

5x-3

Question 12

Which of the following is the correct graphical interpretation of the solution to 2 on the real line?

Accepted Answer

Draw a square of side 1 and drop the diagonal onto the real line.

Question 13

Which of the following is the correct set notation for the interval (0,1]?

Accepted Answer

{x|0x&le;1}

Question 14

Which of the following is a correct example of a piecewise defined function?

Accepted Answer

f(x)={1ifx0xifx&ge;0}

Question 15

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

Accepted Answer

The set of all possible output values f(x).

Question 16

If f(x)=x-1, what is the domain of f?

Accepted Answer

{x|x&ge;1}

Question 17

Which of the following is the correct set notation for the set of all rational numbers?

Accepted Answer

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

Study Guide - Practice Questions