List the intercepts for the graph of the equation.
-$$y = \frac { 7 x } { x ^ { 2 } + 49 }$$
A) $( 0 , - 7 ) , ( 0,0 ) , ( 0,7 )$
B) $( - 7,0 ) , ( 0,0 ) , ( 7,0 )$
C) $( - 49,0 ) , ( 0,0 ) , ( 49,0 )$
D) $( 0,0 )$

Question

Quizplus · Accepted Answer

To find the y-intercept, set $x = 0$: $y = \frac{7(0)}{0^2 + 49} = 0$, so the y-intercept is $(0,0)$. To find the x-intercepts, set $y = 0$: $0 = \frac{7x}{x^2 + 49}$, which implies $7x = 0$, so $x = 0$. There are no other x-intercepts, making $(0,0)$ the only intercept.

List the Intercepts for the Graph of the Equation y=7xx2+49y = \frac { 7 x } { x ^ { 2 } + 49 }y=x2+497x​

List the Intercepts for the Graph of the Equation $y = \frac { 7 x } { x ^ { 2 } + 49 }$