Problem

Sketch the graph of the piecewise defined functio…

01:36

Problem 38 Hard Difficulty

Sketch the graph of the piecewise defined function.
$f(x)=\left\{\begin{array}{ll}{2 x+3} & {\text { if } x<-1} \\ {3-x} & {\text { if } x \geq-1}\end{array}\right.$

Answer

see graph

Topics

No Related Subtopics

Book Cover for Algebra and Trigono…

Algebra and Trigonometry 3e

Chapter 3

Functions

Section 2

Graphs of Functions

Discussion

You must be signed in to discuss.

Top Educators

Watch More Solved Questions in Chapter 3

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

Video Transcript

Let's start by drawing our access. Okay. Now we have zero U minus one minus two. It's not that close. Yeah, minus two minus three. We have one 23 You have one to three. Minus one, minus two, minus three. Now to Bloods. F of X equals two X plus three. Let's give dropouts off a little table. Okay, lets try. Exit course minus minus one and exit course minus two. If X equals minus one, then we have two times minus one plus three. Right. So that's when it's two plus three. And that's one. Next if X equals minus two, get two times minus two. Plus three. Get minus four plus three. So minus one. Supporting those two points in, we'll need two points because this is just a straight line. So So first. So So first we have the point minus one and one. Okay, Next, we have minus one minus two and minus one over here. Okay, We can draw a line. All right, now, because X is strictly less than one. This so called here, it will be a hard Oh, circle. Okay. And we can also we move this point hit too. Oops. Yep. Now that's the first graph. Now for the 2nd 1 let's let's try F. Whoops. Let's try F of minus one again. Now, this is for F of XY course three minus X and if ever their exes minus one. When we get three minus minus one two. Minuses. Make a plus. So three plus one, that's four. Next, we have f of now, let's put zero if a zero so three minus zero is just three. Good. So let's put points. So we have minus one and four, which is appear. This is a solid liner because X can be equal to minus one. You have 03 Just this point here. Now we can draw straight line through that.

Anh H.

University of Connecticut

Topics

No Related Subtopics

Book Cover for Algebra and Trigono…

Algebra and Trigonometry 3e

Chapter 3

Functions

Section 2

Graphs of Functions