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Chapter 1: Q. 64 (page 15)

Tell whether the given points are on the graph of the equation.

Equation:y=x3-2xPoints:(0,0);(1,1);(1,-1)

Short Answer

Expert verified

The point (0,0) and (1, -1) on the graph of the equation.

Step by step solution

01

Step 1. Given information.

Tell whether the given points are on the graph of the equation.

Equation:y=x3-2xPoints:(0,0);(1,1);(1,-1)

02

Step 2. Substitute the points in the equation to satisfy the equation.

For the point (0, 0):y=x3-2x鈬�0=03-20鈬�0=0

The equation is satisfied, so the point (0,0) is on the graph.

For the point (1, 1):

y=x3-2x鈬�1=13-21鈬�1鈮�1-2

The equation is not satisfied, so the point (1, 1) is not on the graph.

For the point (1, -1):

localid="1645796714834" y=x3-2x鈬�-1=13-21鈬�-1=-1

The equation is satisfied, so the point (1, -1) is on the graph.

03

Step 3. Conclusion. 

The point (0, 0) and (1, -1) is on the graph.

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