Find the x- and y-intercepts of the function. $$f ( x ) = 4 x ^ { 2 } - 40$$
A) x-intercepts: ( 10, 0) and (- 10, 0); y-intercept: (0, -40)
B) x-intercept: ( 10, 0); y-intercept: none
C) x-intercepts: (0, 10) and (0, - 10); y-intercept: (-40, 0)
D) x-intercept: (0, 10); y-intercept: (-40, 0)

Question

Quizplus · Accepted Answer

To find the x-intercepts, set $f(x) = 0$: $0 = 4x^2 - 40$, solving gives $x = \pm 10$, so the x-intercepts are (10, 0) and (-10, 0). For the y-intercept, set $x = 0$: $f(0) = -40$, so the y-intercept is (0, -40).

Find the X- and Y-Intercepts of the Function f(x)=4x2−40f ( x ) = 4 x ^ { 2 } - 40f(x)=4x2−40

Find the X- and Y-Intercepts of the Function $f ( x ) = 4 x ^ { 2 } - 40$