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Problem 42 Hard Difficulty

Evaluate $ f(-3) $ , $ f(0) $ and $ f(2) $ for the piecewise defined function. Then sketch the graph of the function.

$ f(x) = \left\{
\begin{array}{ll}
3 - \frac{1}{2}x & \mbox{if $ x < 2 $}\\
2x - 5 & \mbox{if $ x \ge 2 $}
\end{array} \right.$


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03:20

Heather Zimmers

03:05

Mary Wakumoto

Related Courses

Calculus 1 / AB

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Calculus: Early Transcendentals

Chapter 1

Functions and Models

Section 1

Four Ways to Represent a Function

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Multivariate Functions - Intro

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12:15

Partial Derivatives - Overview

In calculus, partial derivatives are derivatives of a function with respect to one or more of its arguments, where the other arguments are treated as constants. Partial derivatives contrast with total derivatives, which are derivatives of the total function with respect to all of its arguments.

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Evaluate $ f(-3) $ , $ f(0…

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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 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

Video Transcript

U. S. A negative three zero two when he's ways to find function and sketch So FF negative three, of course, finds that the top rule since three is negative. Three is less than two. So we have three minus three over to which is over to you zero Still use that top level there Let me be minus zero with history And as of two, we used that bottom role there for minus five is making one. So for this sketch, use a whiner sector three over here Wei have a negative slope all the way until oxy close to you know something like that. Teo, is that an open circle? Bottom right, two X minus five. So we have a whiner Second, making five are here notice that we calculated at to which is negative one. Do you want Who's out there? So, yeah, the father of sort of two acts of you. Maybe it's no axes X. Why? It's a question

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Video Thumbnail

12:15

Partial Derivatives - Overview

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Evaluate $ f(-3) $ , $ f(0) $ and $ f(2) $ for the piecewise defined function. …

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Evaluate $ f(-3) $ , $ f(0) $ and $ f(2) $ for the piecewise defined function. …

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Evaluate $ f(-3) $ , $ f(0) $ and $ f(2) $ for the piecewise defined function. …

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