Question

What is the greatest possible turning points of f(x) = 6x^4+11^3-x^2+x^7

Answer 1

Answer:

An "n" degree polynomial can have up to (n - 1) turning points. So this function will have 3 turning points.

Step-by-step explanation:

Look at the first 6x^4. "n" in this is the exponent which is 4.

4 - 1 is 3. So there will be 3 turning points.

The "n" value is also even degree. So both ends of the function will end in the same direction (High to High or Low to Low depending on if the function has a negative or positive at the start)