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Determine the intercepts with the axes for the function y = x3 − 2x2 − 3x.
Mathematics
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| Point | x | y |
|---|---|---|
| x-intercept | −1 | 0 |
| Maximum | −0.54 | 0.88 |
| x-intercept | 0 | 0 |
| Minimum | 1.87 | −6.06 |
| x-intercept | 3 | 0 |
The given function is .
9.1 Determine the intercepts with the axes.
Step 1: Find the y-intercept.
Set in the function:
The y-intercept is .
Step 2: Find the x-intercepts.
Set in the function:
Factor out :
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