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Chapter 2: Q. 20 (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
4
y=4=2
4,2
9
y=9=3
9,3
03

Step 3. Plotting the points on a graph.

The graph is

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Most popular questions from this chapter

If f(x)=-3xifx<-10ifx=-12x2+1ifx>-1

Find: (a)f(-2) and (b) f(-1) (c)f(0)

Graph the function using the techniques of shifting, compressing, stretching, and/or reflecting. Start with the graph of the basic function and show all stages. Be sure to show at least three key points. Find the domain and the range of each function. Verify your results using a graphing utility.

h(x)=12x

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

Part (a): Express the circumference Cof the circle as a function of x.

Part (b): Express the areaAof the circle as a function ofx.

True or False

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

An equilateral triangle is inscribed in a circle

of radius r. See the figure. Express the circumference Cof the circle as a function of the length x of a side of the triangle.

[Hint: First show that r2=x23.]
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