QuestionAugust 24, 2025

If f(x)=x^2-1 , which of the following ordered pairs are on the graph of f(x) ? Select all that apply (2 points) (0,1) (1,0) (3,5) (5,24) (-2,3) (-4,-17)

If f(x)=x^2-1 , which of the following ordered pairs are on the graph of f(x) ? Select all that apply (2 points) (0,1) (1,0) (3,5) (5,24) (-2,3) (-4,-17)
If f(x)=x^2-1 , which of the following ordered pairs are on the graph of f(x) ? Select all that apply (2 points) (0,1) (1,0) (3,5) (5,24) (-2,3) (-4,-17)

Solution
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Answer

(1,0) and (5,24) are on the graph of f(x). Explanation 1. Evaluate f(x) for each x value Calculate f(0) = 0^2 - 1 = -1, f(1) = 1^2 - 1 = 0, f(3) = 3^2 - 1 = 8, f(5) = 5^2 - 1 = 24, f(-2) = (-2)^2 - 1 = 3, f(-4) = (-4)^2 - 1 = 15. 2. Compare with given y values Check if calculated f(x) matches the y in each ordered pair.

Explanation

1. Evaluate $f(x)$ for each $x$ value<br /> Calculate $f(0) = 0^2 - 1 = -1$, $f(1) = 1^2 - 1 = 0$, $f(3) = 3^2 - 1 = 8$, $f(5) = 5^2 - 1 = 24$, $f(-2) = (-2)^2 - 1 = 3$, $f(-4) = (-4)^2 - 1 = 15$.<br />2. Compare with given $y$ values<br /> Check if calculated $f(x)$ matches the $y$ in each ordered pair.
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