Problem

Given the following graph, $\cdot$ Evaluate $f(4…

01:15

Problem 53 Medium Difficulty

Given the following graph,
$\cdot$ Evaluate $f(0)$
$\cdot$ Solve for $f(x)=-3$

Answer

$\mathrm{f}(0)=1$
$f(2)=-3$ and $f(-2)=-3$
in other words $x=2$ or $x=-2$

Topics

Graphs and Statistics

Functions

Book Cover for Precalculus 2014

Precalculus 2014

Chapter 1

Functions

Section 1

Functions and Function Notation

Discussion

You must be signed in to discuss.

Top Algebra Educators

Grace H.

Numerade Educator

Catherine R.

Missouri State University

Kayleah T.

Harvey Mudd College

Maria G.

Numerade Educator

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

Problem 78

Problem 79

Problem 80

Problem 81

Problem 82

Problem 83

Problem 84

Problem 85

Problem 86

Problem 87

Problem 88

Problem 89

Problem 90

Problem 91

Problem 92

Video Transcript

Okay, so we begin this problem with a graph. Here are some of the features we see on the graph. It has a basic kind of w type shape. Gonna come down like this is gonna go up. It's gonna wrap around. It's gonna come back around, back up some of the points that we can see on the graph. Quite clearly, we have a 01 That is a point on the graph. We have a point down here. This point is at negative 23 All right. And then we have this point over here. This point is that positive? To negative three. We went right to down three. This should be negative here. Okay, so we've got those basic points. Crap is going up on both ends, and we are asked for this function. The graph is half of acts. Remember, the f of X g of x n of x p of x is why, and we're asking this question to find the value of find the value of f of zero. Okay, So as we said since the general idea is that f of axe and of Xbox is why what we're saying here is if x zero What is why on this craft? And if you look here this point if x zero, if I don't go left to right, what do I do with up? Down I go up one to be on the graph. So the answer to FF zero is one. Why is one when x zero on this raft? You separately from that we are asked to solve so half of the f of X is equal to negative three. Okay, remember again half of axe is why So we're saying we want why to be negative three. We want to know what are the values of X that make y equal date of negative three y equals negative. Three would be a horizontal line down here. So we draw the line y equals negative three. And we ask ourselves, where are the points on the graph that touched this line? We've got one right here. We've got another one right here. If you think about X y right, once Roy's like X y were saying If why is negative 31 sex and we can see in one case too. In another case. Negative too. So in solving this equation. The values of X, for which F of X is equal. Negative. Three. We would say X is equal to two are negative too. Or we could contents and say as plus minus two. Okay, we are.

Paul M.

Hartwick College

Topics

Graphs and Statistics

Functions

Book Cover for Precalculus 2014

Precalculus 2014

Chapter 1

Functions

Section 1

Functions and Function Notation

Top Algebra Educators

Grace H.

Numerade Educator

Catherine R.

Missouri State University

Kayleah T.

Harvey Mudd College

Maria G.

Numerade Educator