Q: Which of the following best describes the range of the function f(x)=x2?

All real numbers y such that y≥0

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

All real numbers x such that x≥0

Q: Suppose you are modeling the height h of a ball thrown upward as a function of time t by h(t)=-4.9t2+20t+1. What is the physical meaning of the domain of this function in a real-world context?

All real numbers t for which h(t)≥0

Question 1

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

Accepted Answer

(1,3)

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 best describes the range of the function f(x)=x2?

Accepted Answer

All real numbers y such that y&ge;0

Question 5

Suppose you are given the function f(x)=1x. What is the domain of f?

Accepted Answer

All real numbers x except x=0

Question 6

Which of the following statements about real numbers is TRUE?

Accepted Answer

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

Question 7

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

Accepted Answer

2

Question 8

Which of the following is the correct set notation for all real numbers x such that 0&le;x&le;5?

Accepted Answer

[0,5]

Question 9

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

Accepted Answer

All real numbers x such that x&ge;0

Question 10

Which of the following is an example of a function that is NOT defined for all real numbers?

Accepted Answer

f(x)=x

Question 11

Which of the following best describes the vertical line test for functions?

Accepted Answer

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

Question 12

Which of the following is the correct definition of the distance between two real numbers a and b on the number line?

Accepted Answer

|a-b|

Question 13

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

Accepted Answer

R\{0}

Question 14

Which of the following is a correct example of a finite decimal expansion?

Accepted Answer

0.25

Question 15

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

Accepted Answer

[2,&infin;)

Question 16

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

Accepted Answer

f(x)=mx+b

Question 17

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

Accepted Answer

A rule which assigns to every element in the domain exactly one element in the range.

Question 18

Suppose you are modeling the height h of a ball thrown upward as a function of time t by h(t)=-4.9t2+20t+1. What is the physical meaning of the domain of this function in a real-world context?

Accepted Answer

All real numbers t for which h(t)&ge;0

MATH 221: First Semester Calculus – Numbers, Functions, and Graphs

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