For the function find the maximum number of real zeros that the function can have, the maximum number of x-intercepts
that the function can have, and the maximum number of turning points that the graph of the function can have.
-$$f ( x ) = 8 x ^ { 3 } + 8 x ^ { 2 } - 8 x + 7$$
A) $3 ; 3 ; 2$
B) $3 ; 2 ; 1$
C) $3 ; 3 ; 3$
D) $2 ; 2 ; 1$

Question

Quizplus · Accepted Answer

The function is a cubic polynomial, which means it can have up to 3 real zeros (x-intercepts) because the maximum number of real zeros is equal to its degree. It can also have up to 2 turning points because the maximum number of turning points is one less than its degree.

For the Function Find the Maximum Number of Real Zeros f(x)=8x3+8x2−8x+7f ( x ) = 8 x ^ { 3 } + 8 x ^ { 2 } - 8 x + 7f(x)=8x3+8x2−8x+7

For the Function Find the Maximum Number of Real Zeros $f ( x ) = 8 x ^ { 3 } + 8 x ^ { 2 } - 8 x + 7$