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Chapter 2: Q. 3 (page 100)

List the intercepts of the equation y=x3-8.

Short Answer

Expert verified

The intercepts of the equationy=x3-8are(0,-8) and (2,0).

Step by step solution

01

Step 1. Given information

We have been given an equation y=x3-8.

We have to list the intercepts of this equation.

02

Step 2. Find the x-intercept

Put y=0in the equation y=x3-8.

0=x3-8x3=8x=83x=233x=2

Therefore, the x-intercept is (2,0).

03

Step 3. Find the y-intercept

Put x=0in the equation y=x3-8.

y=03-8y=0-8y=-8

Therefore, the y-intercept is (0,-8).

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