Posted by **Melinda** on Friday, December 9, 2011 at 4:34pm.

Determine the maximum and minimum number of turning points for the function h(x) = -2x^4 - 8x^3 + 5x -6.

Maximum:3

Minimum:1

Is this a valid reason:

A quartic polynomial function has a 3 Turning points. The turning point is always 1 less than the degree. For example degree 4=3 TP, degree 5=4 turning points?

What about the minimum?

- precalculus -
**Steve**, Saturday, December 10, 2011 at 4:56am
A polynomial of odd degree n has at most n-1 turning points, and may have none.

Think of a line or the curve for y=x^3.

A polynomial of even degree n may have at most n-1 turning points, but must have at least one. Think of a parabola or y=x^4. An even-degree polynomial opens up or down, but must have a min or max.

## Answer this Question

## Related Questions

- Math - Determine the maximum and minimum number of turning points for the ...
- Algebra- Maximum and minimum. - I dont understand how to find the maximum and ...
- Math - Can someone help me with these T.T 1.Which polynomial function would have...
- calculus - there are no examples of this type of problem in my book so if you ...
- Algebra2 - Complete parts a – c for each quadratic function: a. Find the y-...
- Algebra 2 - The vertices of a feasible region are A(1,2), B(5,2), C(1,4). Write ...
- Algebra 2 - The vertices of a feasible region are A(1,2), B(5,2), C(1,40. Write ...
- precalculus - analyzethe graph of the function Find the x- and y-intercepts. (b...
- ALGEBRA - Determine whether the quadratic function has a minimum or maximum ...
- algebra - determine the given quadratic function has a minimum valueor maximum ...

More Related Questions