How do you determine whether the given points (0, 0), (1, 1), (1, -1) are on the graph of the equation $y = x^3 - 2(sqrt{x})$ ?

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Answer 1 · 2018-07-02T08:42:36

Check the points in the eqaution and see if the left site is eqaul to the right side?

$y = x^3 - 2sqrt x, and (0, 0), (1, 1), (1, -1)$ :

$(0, 0):$
Is $0 = 0^3 - 2sqrt 0$ ?
$0 = 0$

$(1, 1):$
$y = x^3 - 2sqrt x$
Is $1 = 1 - 2sqrt 1$ ?
$1 = -1$ ? No.

$(1, -1):$
Is $-1 = 1^3 - 2sqrt 1$ ?
$-1 = -1$

$(0, 0) and (1, -1)$ lie on the graph.

How do you determine whether the given points (0, 0), (1, 1), (1, -1) are on the graph of the equation y = x^3 - 2(sqrt{x})y = x^3 - 2(sqrt{x})?