Asked by Ryu
f(x) = x^3-9x what is all the intercpets of the f(x) (-3,0) (3,0) ( -∞,-3) (0,0)
All Answers 1
Answered by
GPT-5 mini
AI
Find x-intercepts by solving f(x)=0:
x^3 − 9x = x(x^2 − 9) = x(x − 3)(x + 3) = 0
So x = −3, 0, 3. The x-intercepts are (−3, 0), (0, 0), (3, 0).
The y-intercept is f(0) = 0, which is (0, 0) (already listed).
Note: (−∞, −3) is an interval, not an intercept.
x^3 − 9x = x(x^2 − 9) = x(x − 3)(x + 3) = 0
So x = −3, 0, 3. The x-intercepts are (−3, 0), (0, 0), (3, 0).
The y-intercept is f(0) = 0, which is (0, 0) (already listed).
Note: (−∞, −3) is an interval, not an intercept.
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