Question

Which of the following is an x-intercept of the function, f(x) = x^2 - 64?

Option 1: A. -32
Option 2: B. -8
Option 3: C. -16
Option 4: D. -64

Answer 1

The x-intercept of the function f(x) = x^2 - 64 is found by setting the function equal to zero and solving for x. The solutions are x = 8 or x = -8, and thus the x-intercept is -8, corresponding to option B.

Step-by-step explanation:

To find the x-intercept of the function f(x) = x2 - 64, we need to set the function equal to zero and solve for x. The x-intercept occurs where the graph of the function crosses the x-axis, which is when f(x) = 0.

The equation becomes:

0 = x2 - 64

Adding 64 to both sides gives us:

x2 = 64

Taking the square root of both sides, we get two solutions for x:

x = 8 or x = -8

Therefore, the x-intercept of the function is -8, which corresponds to option B.