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 numbers is NOT a rational number?

Accepted Answer

2

Question 3

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

Accepted Answer

All real numbers x

Question 4

Which of the following functions is NOT defined for all real numbers?

Accepted Answer

f(x)=x

Question 5

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

Accepted Answer

2

Question 6

Which of the following statements about the graph of y=x2 is TRUE?

Accepted Answer

It passes the vertical line test and is a function.

Question 7

Suppose you want to find the distance between two real numbers a and b on the number line. Which formula should you use?

Accepted Answer

|a-b|

Question 8

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

Accepted Answer

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

Question 9

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

Accepted Answer

[2,&infin;)

Question 10

Which of the following is a correct example of set notation for the set of all real numbers x such that x0?

Accepted Answer

{x|x0}

Question 11

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

Accepted Answer

All real numbers except x=0

Question 12

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

Accepted Answer

f(x)=mx+b

Question 13

Which of the following is TRUE about the set of rational numbers?

Accepted Answer

Every rational number can be written as a fraction pq where q&ne;0

Question 14

Which of the following is the correct way to represent the set of all real numbers x such that 2&le;x&le;5?

Accepted Answer

[2,5]

Question 15

If the graph of y=x2 passes the vertical line test, what does this mean?

Accepted Answer

Each input x has exactly one output y

Question 16

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

Accepted Answer

A&cap;B

Question 17

A student claims that 9 is irrational. Which of the following best explains why this is incorrect?

Accepted Answer

9 is equal to 3, which is a rational number.

Question 18

Which of the following is the correct way to write the set of all real numbers except 0?

Accepted Answer

{x|x&ne;0}

Calculus I: Numbers, Functions, and Their Properties

Study Guide - Practice Questions