Precalculus Functions and Graphs

Mark Dugopolski

Chapter 2 Functions and Graphs - all with Video Answers

Educators

Section 1

Functions

01:01

Problem 1

Fill in the blank:
Any set of ordered pairs is a _____.

Maria Dearborn

Numerade Educator

00:40

Problem 2

Fill in the blank:
A set of ordered pairs in which no two have the same first coordinate and different second coordinates is a ______.

Linh Vu

Numerade Educator

00:26

Problem 3

Fill in the blank:
For a set of ordered pairs, the variable corresponding to the first coordinate is the ______ variable and the variable corresponding to the second coordinate is the _____ variable.

Linh Vu

Numerade Educator

00:34

Problem 4

Fill in the blank:
For a set of ordered pairs, the set of all first coordinates is the _______ and the set of all second coordinates is the ______.

Linh Vu

Numerade Educator

00:19

Problem 5

Fill in the blank:
The expression $\frac{f(x+h)-f(x)}{h}$ is the ______.

Linh Vu

Numerade Educator

00:29

Fill in the blank:
If $\left(x_{1}, y_{1}\right)$ and $\left(x_{2}, y_{2}\right)$ are two ordered pairs of a function, then $\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$ is the ______ of the function on $\left[x_{1}, x_{2}\right].$

Linh Vu

Numerade Educator

00:34

Problem 7

For each pair of variables determine whether a is a function of $b, b$ is a function of a, or neither.
$a$ is the radius of any U.S. coin and $b$ is its circumference.

Linh Vu

Numerade Educator

00:23

Problem 8

For each pair of variables determine whether a is a function of $b, b$ is a function of a, or neither.
$a$ is the length of any rectangle with a width of 5 in, and $b$ is its perimeter.

Linh Vu

Numerade Educator

00:36

Problem 9

For each pair of variables determine whether a is a function of $b, b$ is a function of a, or neither.
$a$ is the length of any piece of U.S. paper currency and $b$ is its denomination.

Linh Vu

Numerade Educator

01:29

Problem 10

For each pair of variables determine whether a is a function of $b, b$ is a function of a, or neither.
$a$ is the diameter of any U.S. coin and $b$ is its value.

Willis James

Numerade Educator

00:20

Problem 11

For each pair of variables determine whether a is a function of $b, b$ is a function of a, or neither.
$a$ is the universal product code for an item at Wal-Mart and $b$ is its price.

Linh Vu

Numerade Educator

00:46

Problem 12

For each pair of variables determine whether a is a function of $b, b$ is a function of a, or neither.
$a$ is the final exam score for a student in your class and $b$ is his/her semester grade.

Linh Vu

Numerade Educator

00:25

Problem 13

For each pair of variables determine whether a is a function of $b, b$ is a function of a, or neither.
$a$ is the time spent studying for the final exam for a student in your class and $b$ is the student's final exam score.

Linh Vu

Numerade Educator

00:22

Problem 14

For each pair of variables determine whether a is a function of $b, b$ is a function of a, or neither.
$a$ is the age of an adult male and $b$ is his shoe size.

Linh Vu

Numerade Educator

00:27

Problem 15

For each pair of variables determine whether a is a function of $b, b$ is a function of a, or neither.
$a$ is the height of a car in inches and $b$ is its height in centimeters.

Linh Vu

Numerade Educator

00:26

Problem 16

For each pair of variables determine whether a is a function of $b, b$ is a function of a, or neither.
$a$ is the cost for mailing a first-class letter and $b$ is its weight.

Linh Vu

Numerade Educator

00:29