Chapter 1: Q. 64 (page 15)

Tell whether the given points are on the graph of the equation.
$Equation : y = x^{3} - 2 \sqrt{x} Points : (0, 0); (1, 1); (1, - 1)$

Short Answer

Expert verified

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

Step by step solution

Step 1. Given information.

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

$Equation : y = x^{3} - 2 \sqrt{x} Points : (0, 0); (1, 1); (1, - 1)$

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

For the point (0, 0): $y = x^{3} - 2 \sqrt{x} \Rightarrow 0 = 0^{3} - 2 \sqrt{0} \Rightarrow 0 = 0$

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

For the point (1, 1):

$y = x^{3} - 2 \sqrt{x} \Rightarrow 1 = 1^{3} - 2 \sqrt{1} \Rightarrow 1 \neq 1 - \sqrt{2}$

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

For the point (1, -1):

localid="1645796714834" $y = x^{3} - 2 \sqrt{x} \Rightarrow - 1 = 1^{3} - 2 \sqrt{1} \Rightarrow - 1 = - 1$

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

Step 3. Conclusion.

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

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Tell whether the given points are on the graph of the equation.
$Equation : y = x^{3} - 2 \sqrt{x} Points : (0, 0); (1, 1); (1, - 1)$

Short Answer

Step by step solution

Step 1. Given information.

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

Step 3. Conclusion.

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Short Answer

Step by step solution

Step 1. Given information.

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

Step 3. Conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

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Study anywhere. Anytime. Across all devices.

Tell whether the given points are on the graph of the equation.
$Equation : y = x^{3} - 2 \sqrt{x} Points : (0, 0); (1, 1); (1, - 1)$