Which of the following is an $$ x $$-intercept of the function, $$ f(x)=x^{2}-25 ? $$ A. -15 в. -20 c. -5 D. -25

Question

UpStudy AI · Accepted Answer

To find the $$x$$-intercept(s) of the function, we set $$ f(x) $$ equal to zero:

$$
x^2 - 25 = 0
$$

We can factor the quadratic:

$$
(x - 5)(x + 5) = 0
$$

Setting each factor equal to zero gives:

$$
x - 5 = 0 \quad \Rightarrow \quad x = 5
$$
$$
x + 5 = 0 \quad \Rightarrow \quad x = -5
$$

Thus, the $$x$$-intercepts are $$(5,0)$$ and $$(-5,0)$$. Among the given options, $$-5$$ is one of the intercepts.

The correct answer is:

$$ -5 $$
The $$ x $$-intercept is $$-5$$.

Which of the following is an \( x \)-intercept of the function, \( f(x)=x^{2}-25 ? \) A. -15 в. -20 c. -5 D. -25