Determine the x- and y-intercepts for the given function.
-$$f ( x ) = 2 x ^ { 2 } + 8 x - 10$$
A) $x$-intercept: $( - 2,0 )$
$y$-intercept: $( 0 , - 18 )$

B) $x$-intercept: none
$y$-intercept: $( 0 , - 10 )$

C) $x$-intercept: $( - 2,0 )$
$y$-intercept: $( 0,18 )$

D) $x$-intercepts: $( - 5,0 )$ and $( 1,0 )$
$y$-intercept: $( 0 , - 10 )$

Question

Determine the x- and y-intercepts for the given function.
-$$f ( x ) = 2 x ^ { 2 } + 8 x - 10$$
A) $x$-intercept: $( - 2,0 )$
$y$-intercept: $( 0 , - 18 )$

B) $x$-intercept: none
$y$-intercept: $( 0 , - 10 )$

C) $x$-intercept: $( - 2,0 )$
$y$-intercept: $( 0,18 )$

D) $x$-intercepts: $( - 5,0 )$ and $( 1,0 )$
$y$-intercept: $( 0 , - 10 )$

Quizplus · Accepted Answer

To find the x-intercepts, set $f(x) = 0$: $2x^2 + 8x - 10 = 0$. Factoring or using the quadratic formula, we find $x = -5$ and $x = 1$, so the x-intercepts are $(-5, 0)$ and $(1, 0)$. To find the y-intercept, set $x = 0$: $f(0) = 2(0)^2 + 8(0) - 10 = -10$, so the y-intercept is $(0, -10)$.

Determine the X- and Y-Intercepts for the Given Function f(x)=2x2+8x−10f ( x ) = 2 x ^ { 2 } + 8 x - 10f(x)=2x2+8x−10

Determine the X- and Y-Intercepts for the Given Function $f ( x ) = 2 x ^ { 2 } + 8 x - 10$