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 intercepts, we set each variable to zero in turn. For the x-intercept, set $y = 0$, which gives $0 = \frac{7x}{x^2 + 49}$. This equation is satisfied for any x, as long as the numerator is 0, which implies x = 0. For the y-intercept, set $x = 0$, which gives $y = \frac{7(0)}{0^2 + 49} = 0$. Therefore, the only intercept is at the origin, (0, 0).

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 $y = \frac { 7 x } { x ^ { 2 } + 49 }$