Answers:
- x-intercepts: -9, 0, 6
- y-intercept: 0
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Step-by-step explanation:
To find the x intercept(s), we replace f(x) with 0 and solve for x.

Set each factor equal to x and solve those equations.

Therefore the x intercepts are 0, -9 and 6 in any order of your choosing.
It probably makes more sense to have the numbers in increasing order. So I would write the answer as -9, 0, 6 for the x intercepts portion.
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To find the y intercept, we replace every copy of x with 0 and simplify

Everything goes to zero because the variable x is part of each term (and we replaced said variable with zero).
Therefore, the y intercept is 0. This also is one of the x intercepts mentioned earlier. In other words, this y intercept is at the origin (0,0).
At most one y-intercept is allowed if we wanted a function.
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The graph is shown below to confirm the answers.
I used GeoGebra but you could use Desmos or any other similar software, or something like a TI83.