Download the App!

Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.

Question

Answered step-by-step

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

Video Answer

Solved by verified expert

This problem has been solved!

Try Numerade free for 7 days

Like

Report

Official textbook answer

Video by Anh Hoang

Numerade Educator

This textbook answer is only visible when subscribed! Please subscribe to view the answer

Algebra

Chapter 3

Functions

Section 2

Graphs of Functions

Missouri State University

Oregon State University

Baylor University

Lectures

01:43

In mathematics, a function is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output. An example is the function that relates each real number x to its square x^2. The output of a function f corresponding to an input x is denoted by f(x).

03:18

01:31

Sketch the graph of the pi…

00:16

01:24

Sketch a graph of each pie…

03:04

Graphing Piecewise Defined…

01:41

? Graphing Piecewise Defin…

01:57

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.

View More Answers From This Book

Find Another Textbook

01:00

The P-values based on a one-sided alternativehypothesis will always be _…

01:32

The test statistic for a two-sided significance test for apopulation mea…

01:17

The ____ the P-value, the stronger the evidence againstthe null hypothes…

04:05

Two groups of students are selected to test different learningtechniques…

02:46

Show that the Petersen graph is not 1-factorable (doesn’tcontain three e…

04:13

Use the following GSS data on fear, race, and home ownership for this ex…

02:31

Suppose integral from 0 to 4 f(x) dx = 12. Find integral from 0to 1 f(4x…

03:07

For Eliza, Alina wants to make a rectangular box whose base is twice as …

02:02

People with type O-negative blood are referred to as universaldonors, al…