Problem

A function is given by a table of values, a graph…

00:47

Problem 12 Easy Difficulty

A function is given by a table of values, a graph, a formula, or a verbal description. Determine whether it is one-to-one.

$ g(x) = \sqrt[3]{x} $

Answer

$\operatorname{yes}(1$ to 1$)$

Discussion

You must be signed in to discuss.

Top Calculus 3 Educators

Watch More Solved Questions in Chapter 1

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Problem 7

Problem 8

Problem 9

Problem 10

Problem 11

Problem 12

Problem 13

Problem 14

Problem 15

Problem 16

Problem 17

Problem 18

Problem 19

Problem 20

Problem 21

Problem 22

Problem 23

Problem 24

Problem 25

Problem 26

Problem 27

Problem 28

Problem 29

Problem 30

Problem 31

Problem 32

Problem 33

Problem 34

Problem 35

Problem 36

Problem 37

Problem 38

Problem 39

Problem 40

Problem 41

Problem 42

Problem 43

Problem 44

Problem 45

Problem 46

Problem 47

Problem 48

Problem 49

Problem 50

Problem 51

Problem 52

Problem 53

Problem 54

Problem 55

Problem 56

Problem 57

Problem 58

Problem 59

Problem 60

Problem 61

Problem 62

Problem 63

Problem 64

Problem 65

Problem 66

Problem 67

Problem 68

Problem 69

Problem 70

Problem 71

Problem 72

Problem 73

Problem 74

Problem 75

Problem 76

Problem 77

Video Transcript

we're deciding whether or not this function is 1 to 1. So to do that, let's imagine the graph. The graph of the cube root of X looks like this now to be oneto. One means for every X value. There's only one Y value, and for every y value, there's only one X value, so it must pass the vertical line test and pass the horizontal line test. So checking the vertical line test pass a vertical line through it only passes through one point, not more than one. So that's a pass. And for the horizontal line test, pass a horizontal line through it cannot pass through more than one point. That's also a pass. So, yes, this one is 1 to 1.

Heather Z.

Oregon State University

Topics

Functions

Integration Techniques

Partial Derivatives

Functions of Several Variables

Calculus: Early Transcendentals

Chapter 1

Functions and Models

Section 5

Inverse Functions and Logarithms

Problem