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Chapter 1: Q. 66 (page 15)

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

Equation:y3=x+1Points:(1,2);(0,1);(-1,0)

Short Answer

Expert verified

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

Step by step solution

01

Step 1. Given information.

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

Equation:y3=x+1Points:(1,2);(0,1);(-1,0)

02

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

For the point (-1, 0):

y3=x+1鈬�03=-1+1鈬�0=0

The equation is satisfied, so the point (-1,0) is on the graph.

For the point (0, 1):

y3=x+1鈬�13=0+1鈬�1=1

The equation is satisfied, so the point (0,1) is on the graph.

For the point (1, 2):

y3=x+1鈬�23=1+1鈬�8鈮�2

The equation is not satisfied, so the point (1, 2) is not on the graph.

03

Step 3. Conclusion. 

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

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