List the intercepts for the graph of the equation.
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A)(-9, 0), (0, 81), (9, 0)
B)(-9, 0), (0, -81), (9, 0)
C)(0, -9), (81, 0), (0, 9)
D)(9, 0), (0, 81), (0, -81)

Question

List the intercepts for the graph of the equation.
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A)(-9, 0), (0, 81), (9, 0) 
B)(-9, 0), (0, -81), (9, 0) 
C)(0, -9), (81, 0), (0, 9) 
D)(9, 0), (0, 81), (0, -81)

Quizplus · Accepted Answer

To find the x-intercepts, we set y=0 and solve for x. When we do this, we get x=-9 and x=9. To find the y-intercept, we set x=0 and solve for y. When we do this, we get y=81. Therefore, the intercepts are (-9, 0), (0, 81), and (9, 0). This matches choice A. To find the x-intercepts, set y = 0 and solve for x. 
0 = (x+9)(x-9)(x-1)
x = -9, 1, 9
Therefore, the x-intercepts are (-9, 0), (0, 81), and (9, 0).
To find the y-intercept, set x = 0 and solve for y.
y = (0+9)(0-9)(0-1)
y = -81
Therefore, the y-intercept is (0, -81).
Choice A is the only option that includes all three x-intercepts and the y-intercept.

List the Intercepts for the Graph of the Equation