Question

How would someone know how many x intercepts there are, and the turning points??

UInS uIlG PUIvH8mlal Functions Given the function g(t) = -5t8-2t10 + t6 + t There are at most x-intercepts, and at most turning points. Points possible: 1 Unlimited attempts. Submit

Answer 1

First find the degree of the polynomial.

Since the highest exponent of t is 10, degree of the polynomial is 10.

maximum number of intercept is same as degree, so

$\text { There are at most }$ 10 x -intercepts

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The maximum number of turning points of a polynomial function is always one less than the degree of the function.

Now we know

Number of turning point = Degree -1

= 10 -1

=9

Thus, at most 9 turning points.