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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

Calculus 1 / AB

Calculus 2 / BC

Calculus 3

Chapter 1

Functions and Models

Section 1

Four Ways to Represent a Function

Functions

Integration Techniques

Partial Derivatives

Functions of Several Variables

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May 13, 2022

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March 3, 2022

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Johns Hopkins University

Campbell University

Harvey Mudd College

Baylor University

Lectures

04:31

A multivariate function is a function whose value depends on several variables. In contrast, a univariate function is a function whose value depends on only one variable. A multivariate function is also called a multivariate expression, a multivariate polynomial, a multivariate series, or a multivariate function of several variables.

12:15

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.

02:32

Evaluate $ f(-3) $ , $ f(0…

04:08

02:09

02:43

Evaluate $f(-3), f(0)$, an…

04:41

Evaluate $f(-3), f(0),$ an…

04:39

01:35

Evaluate f(−3), f(0), f(2)…

02:18

02:47

02:33

02:22

00:55

Evaluate the piecewise def…

01:24

Graph the piecewise functi…

02:00

Given the function defined…

00:36

Sketch the graph of $f$

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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