Math Is Fun Forum

sologuitar

Member

Registered: 2022-09-19

Posts: 467

Points On Graph of the Equation

Determine which of the given points are on the graph of the equation.

Equation: y = x^3 - 2•sqrt{x}

Points: (0, 0); (1, 1); (1, -1)

I think I need to plug and chug here. If I get the same answer on both sides of the given equation, I can then say that the point is on the graph of the given equation.

Let me see.

Point (0, 0).

y = x^3 - 2•sqrt{x}

0 =(0)^3 - 2•sqrt{0}

0 = 0 - 0

0 = 0

Point (0, 0) is the graph of the equation.

How about Point (1, 1)?

y = x^3 - 2•sqrt{x}

1 = (1)^3 - 2•sqrt{1}

1 = 1 - 2(1)

1 DOES NOT = -1.

I say this point is not on the graph of the equation.

How about the final point (1, -1)?

y = x^3 - 2•sqrt{x}

-1 = (1)^3 - 2•sqrt{1}

- 1 = 1 - 2(1)

- 1 = - 1

Yes, this point is on the graph of the equation.

You say?

Bob

Administrator

Registered: 2010-06-20

Posts: 10,465

Re: Points On Graph of the Equation

All agreed.

B

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Children are not defined by school ...........The Fonz
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sologuitar

Member

Registered: 2022-09-19

Posts: 467

Re: Points On Graph of the Equation

All agreed.

B

I must say that this problem is not too bad.