Question

Find the x-intercepts and y-intercept of the following function. f(x)=(x−5)(x−3)(4x 8)

Answer 1

To find the x-intercepts, set the function equal to zero and solve for x. The x-intercepts are 5, 3, and -2. To find the y-intercept, substitute x = 0 into the function. The y-intercept is (0,0).

Step-by-step explanation:

To find the x-intercepts, we need to set the function equal to zero and solve for x.

The x-intercepts occur when any of the factors equal zero.

So, setting (x-5)(x-3)(4x+8) = 0 and solving for x, we get x = 5, x = 3, and x = -2 as the x-intercepts.

To find the y-intercept, we need to substitute x = 0 into the function.

So, substituting x = 0 into f(x), we get f(0) = (0-5)(0-3)(4(0)+8) = 0.

Therefore, the y-intercept is (0,0).