Question 1

Which of the following numbers is irrational?

Accepted Answer

π

Question 2

A function f is defined as f(x) = 1/(x−2). What is the domain of f?

Accepted Answer

All real numbers except x = 2

Question 3

Which of the following intervals represents all real numbers greater than or equal to 3 and less than 7?

Accepted Answer

[3, 7)

Question 4

Given the sets A = {x | 1  3}, what is A ∩ B?

Accepted Answer

{x | 3 \u003c x \u003c 6}

Question 5

Which of the following statements about rational numbers is TRUE?

Accepted Answer

Rational numbers can be written as a fraction of two integers.

Question 6

A function is defined as f(x) = $$x^2$$ for x \u003c 0 and f(x) = x for x ≥ 0. What is f(−3) + f(2)?

Accepted Answer

7

Question 7

Which of the following best describes the range of the function f(x) = $$x^2$$?

Accepted Answer

[0, ∞)

Question 8

A hospital monitors a patient’s temperature every hour. Which of the following best models the temperature as a function of time?

Accepted Answer

A function T(t) where t is time and T(t) is the temperature at time t

Question 9

Which of the following graphs passes the vertical line test and represents a function?

Accepted Answer

A parabola opening upwards

Question 10

If the distance between two points on the real number line is 8 and one point is at x = 5, what are the possible coordinates of the other point?

Accepted Answer

x = 13 or x = −3

Question 11

Which of the following is NOT a real number?

Accepted Answer

√(−1)

Question 12

A linear function has a slope of −4 and passes through the point (2, 3). What is its y-intercept?

Accepted Answer

11

Question 13

Which set notation correctly describes the set of all rational numbers?

Accepted Answer

ℚ

Question 14

Which of the following is a piecewise-defined function?

Accepted Answer

f(x) = { $$x^2 if x$$ \u003c 0; x if x ≥ 0 }

Question 15

If f(x) = 2x + 1, what is the range of f(x) as x varies over all real numbers?

Accepted Answer

All real numbers

Question 16

Which of the following statements is TRUE about the number 0?

Accepted Answer

0 is an integer but neither positive nor negative

Question 17

A function f: A → B is defined. Which of the following is always true?

Accepted Answer

Each x in A is assigned exactly one f(x) in B

Question 18

Which of the following best describes the decimal expansion of a rational number?

Accepted Answer

It is either terminating or repeating

Question 19

Suppose a car travels at a constant speed of 60 km/h. Which function best models the distance d (in km) after t hours?

Accepted Answer

d = 60t

Question 20

Which of the following is the correct set notation for the closed interval from −2 to 5?

Accepted Answer

[−2, 5]

MATH 221: First Semester Calculus – Study Notes

Study Guide - Practice Questions