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Chapter 2: Q. 22 (page 100)

Sketch the graph of each function. Be sure to label three points on the graph.

f(x)=x.

Short Answer

Expert verified

The graph is

Step by step solution

01

Step 1. Given information.

The given function is,

f(x)=x.

02

Step 2. Finding the ordered pairs.

Using the point plotting method we get,

x
y=f(x)=x
x,y
-1
y=-1=1
-1,1
0
y=0=0
0,0
1
y=1=1
1,1
03

Step 3. Plotting the points on a graph.

The graph is

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Most popular questions from this chapter

True or False

The graph of y=-f(x)is the reflection about the x-axis of the graph of y=f(x).

A wire of length xis bent into the shape of a square.

Part (a): Express the perimeter pof the square as a function of x.

Part (b): Express the area Aof the square as a function of x.

A rectangle is inscribed in a semicircle of radius 2. See the figure. Let P=x,ybe the point in quadrant I that is vertex of the rectangle and is on the circle.

Part (a): Express the area A of the rectangle as a function of x.

Part (b): Express the perimeter pof the rectangle as a function of x.

Part (c): Graph A=Ax. For what value of xis Alargest?

Part (d): Graph p=px. For what value of xis plargest?

In Problems 7鈥�18, match each graph to one of the following functions:

A.y=x2+2B.y=-x2+2C.y=x+2D.y=-x+2E.y=(x-2)2F.y=-(x+2)2G.y=x-2H.y=-x+2I.y=2x2J.y=-2x2K.y=2xL.y=-2x

Concepts and Vocabulary

A function f is ___________ on an open interval I if, for any choice of x1 and x2 in I, withx1<x2wehavef(x1)<f(x2)
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