Find the indicated intercept(s) of the graph of the function.
-$x$-intercepts of $f ( x ) = \frac { ( x - 8 ) ( 2 x + 5 ) } { x ^ { 2 } + 2 x - 4 }$
A) $( 8,0 )$ and $\left( - \frac { 5 } { 2 } , 0 \right)$
B) $( - 8,0 )$ and $\left( \frac { 5 } { 2 } , 0 \right)$
C) $( 8,0 )$ and $( - 5,0 )$
D) none

Question

Quizplus · Accepted Answer

To find the x-intercepts of the function, set $f(x) = 0$ and solve for $x$. This gives the roots of the numerator, which are $x = 8$ and $x = -\frac{5}{2}$, since the x-intercepts occur where the function equals zero, and the denominator does not affect the locations of the x-intercepts as long as it does not equal zero at those points.

Find the Indicated Intercept(s) of the Graph of the Function xxx

Find the Indicated Intercept(s) of the Graph of the Function $x$