Determine the local max local min absolute max and absolute

Question

1. Determine the local max, local min, absolute max and absolute min for the following equations:

f(x) = -3x⁴ - 8x³ + 11x² + 26x

2. Is the following function even, odd, or neither? IS the function symmetric about the origin, they-axis or neither?

f(x)= 2x³ - 3x.

3. Is the following function even, odd , or neither? IS the function symmetric about the origin the y-axis  or neither?

f(x) = x⁸ - x¹⁰ + 1.

4. For the following function, draw the graph, identify the turning points, list the x-intercepts, list the local max and mins, list the absolute max and mins.

f(x) = x³ - 9x² + 15x.

5. State the degree and leading coefficient of the following polynomial. State the end behavior of the graph.

f(x) = -2x + 4.

6. Evaluate the f(x) at x = -3, 7, 3.

7. Divide the following function f(x) = 5x³ - x² + 4/x³.

8. Divide the following f(x) = x⁴ + 3x³ -2x + 6/x - 3.

9. Divide the following and express as (Divisor) (Quotient) + (Remainder).

f(x) = 2x³ + x² -4x/2x + 1.

10. Use the synthetic division to divide 3x³ - 14x² + 6x + 12 by x-4.