Question

Consider the following polynomial function.

f(x) = – 8x10 + 2

(a) Determine the maximum number of turning points of the graph of the function.

(b) Determine the maximum number of real zeros of the function.

Consider the following polynomial function.

f(x) = 6x5 + 3x4 + 5

(a) Determine the maximum number of turning points of the graph of the function. turning point(s)

(b) Determine the maximum number of real zeros of the function.

Consider the following polynomial function.

f(x) = – 8x4 + 7

(a) Determine the maximum number of turning points of the graph of the function.

(b) Determine the maximum number of real zeros of the function.

Consider the following polynomial function.

f(x) = 8x7 + 4x5 + 2

(a) Determine the maximum number of turning points of the graph of the function. turning point(s)

(b) Determine the maximum number of real zeros of the function. real zero(s)

Answer 1

a) Max # of turning pounts = 4. Max # of turning points = 6 & Solution :- The Any Maximum number o maximune number polynomial function is always number of turning points one degree less than the degree of function. Polynomial of positive order can have a zeros equal to its ordes. f(x) = -8x10+2 a) Maximum # of turning b) Maximum # % Real zesos = 10 t3r04 +5 ) 9 point = f(x)= bus b) Max # of real zews=5 & f(x)= -8x"+7 a) Max # of turning points = 30 b) Mon # of real zesos 4 f(x) = Er 7+425 +2 4. a) real zeros = 7 b) Max # of