Question 1

Which of the following sets contains all real numbers x such that 1x6?

Accepted Answer

(1,6)

Question 2

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 3

Given the function f(x)=x, what is its domain?

Accepted Answer

{x|x&ge;0}

Question 4

Which of the following numbers is a rational number?

Accepted Answer

73

Question 5

Suppose you are given the function f(x)=x+2. What is the slope of its graph?

Accepted Answer

1

Question 6

Which of the following statements about the vertical line test is correct?

Accepted Answer

A graph passes the vertical line test if every vertical line intersects the graph at most once.

Question 7

If f(x)=3x+5, what is f(2)?

Accepted Answer

11

Question 8

Which of the following intervals represents all real numbers x such that -2&le;x5?

Accepted Answer

[-2,5)

Question 9

Which of the following is NOT a function?

Accepted Answer

A circle in the plane defined by x2+y2=1.

Question 10

If the distance between two numbers on the real line is |a-b|, what is the distance between 7 and -3?

Accepted Answer

10

Question 11

Which of the following is the correct set notation for all real numbers x such that x&ge;2?

Accepted Answer

{x|x&ge;2}

Question 12

Which of the following is a finite decimal expansion?

Accepted Answer

0.25

Question 13

If f(x)=2x-3, what is the range of f?

Accepted Answer

All real numbers {y|y&isin;R}

Question 14

Which of the following is the correct interval notation for all real numbers x such that -1&le;x&le;3?

Accepted Answer

[-1,3]

Question 15

Which of the following is the correct formula for a linear function?

Accepted Answer

f(x)=mx+b

Question 16

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

Accepted Answer

Q

Question 17

If f(x)=x2, what is the domain of f?

Accepted Answer

All real numbers.

Question 18

Which of the following is the correct way to represent the set of all real numbers x such that 0x1?

Accepted Answer

(0,1)

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

Study Guide - Practice Questions