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Answer :
Final answer:
A polynomial function with degree 42 can have at most 41 turning points, because the number of turning points is at most one less than the degree of the polynomial. Hence the correct option is (b).
Explanation:
A polynomial function of degree 42 with leading coefficient % can have at most 41 turning points.
A turning point is where a function changes direction from increasing to decreasing or decreasing to increasing.
The number of turning points of a polynomial function is at most one less than its degree, which in this case is 42.
Therefore, the polynomial function can have a maximum of 42 - 1 = 41 turning points. This corresponds to option b).
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