Find the x- and y-intercepts. If no x-intercepts exist, state so.
-$$f ( x ) = x ^ { 2 } + 16 x$$
A) $( 0,0 )$
B) $( 0 , - 16 , ( - 16,0 ) , ( 0,0 )$
C) $( 0,0 ) , ( - 16,0 )$
D) $( 0,0 ) , ( 16,0 )$

Question

Quizplus · Accepted Answer

To find the x-intercepts, we set y = 0 and solve for x:
$$x ^ { 2 } + 16 x = 0$$
$$x(x+16)=0$$
This equation has two solutions, x = 0 and x = -16, so the x-intercepts are (0,0) and (-16,0).
To find the y-intercept, we set x = 0:
$$f ( 0 ) = ( 0 ) ^ { 2 } + 16 ( 0 ) = 0$$
So the y-intercept is (0,0).
Therefore, the best choice is C, which lists both x-intercepts and the y-intercept.

Find the X- and Y-Intercepts f(x)=x2+16xf ( x ) = x ^ { 2 } + 16 xf(x)=x2+16x

Find the X- and Y-Intercepts $f ( x ) = x ^ { 2 } + 16 x$