Question

Need help figuring out the intercepts and test for symmetry.

y= x^4 - 8x^2 -9

Step 1

In order to find the *y-*intercepts, keep x=0 and to find the *x*-intercept, keep y*=0.* Let’s see, when x=0, y=-9 and when y=0, it becomes

Step 2

Thus, the x-intercept becomes (3, 0) and (–3, 0), whereas the y-intercept is (0,-9). Both the x-intercepts are equidistant from the y-axis. Differentiate the function and find the critical points as follows.

Step 3

Substitute these values in the ...

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Sorry about that. What wasn’t helpful?