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Chapter 1: Q. 10 (page 23)

True or False :

If a graph is symmetric with respect to the x-axis, then it cannot be symmetric with respect to the y-axis.

Short Answer

Expert verified

The given statement is False .

Step by step solution

01

Given information:

The given statement is :

If a graph is symmetric with respect to the x-axis, then it cannot be symmetric with respect to the y-axis.

02

Step 2:

If a graph is symmetric with respect to the x-axis, then it need not be always true that it cannot be symmetric with respect to y-axis.

Example: Equation of circle with center as origin 0,0 and radius is 1 unit,

ie,x2+y2=1.

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Most popular questions from this chapter

In Problem 17-36, solve each equation algebraically. Verify your solution using a graphing utility.

4y-5=182y

Plot the points (2,0),(2,-3),(2,4),(2,1), and (2,-1). Describe the set of all points of the form (2,y), where y is a real number.

In Problem 17-36, solve each equation algebraically. Verify your solution using a graphing utility.

3x2=4x+4

Find the distance d(P1,P2)between the points P1andP2.

P1=(a,a);P2=(0,0)

Which of the following equations might have the graph shown? (More than one answer is possible.)

(a)2x+3y=6(b)-2x+3y=6(c)3x-4y=-12(d)x-y=1(e)x-y=-1(f)y=3x-5(g)y=2x+3(h)y=-3x+3
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