The polynomial function f is defined by f(x)x^4-3x^3-2x^2+4x+5.

Use a graphing calculator to find all the points (x,f(x)) where there is a local maximum.

Round to the nearest hundredth

Rounding to the nearest hundredth using a calculator requires you to "zoom" in to find the local maximum.

There are two local minima and one local maximum, which are all found between -1 and 2.5.

Since it is a quartic with a positive leading coefficient, you can expect the curve to look like the letter W.

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To find the points (x, f(x)) where there is a local maximum of the given polynomial, you can use a graphing calculator. Here are the steps to do so:

1. Enter the polynomial function into your graphing calculator: f(x) = x^4 - 3x^3 - 2x^2 + 4x + 5.

2. Set up the viewing window on your graphing calculator to include the range of x-values where the local maximum may occur. You can choose an appropriate range based on the given polynomial.

3. Use the "maximum" or "minimize" function on your graphing calculator to find the local maximum points. On most graphing calculators, this function is located in the "CALC" or "MATH" menu.

4. Follow the prompts on your graphing calculator to find the maximum point(s).

5. Round the x-coordinate of each local maximum point to the nearest hundredth, as requested.

By following these steps, you should be able to use a graphing calculator to find all the points (x, f(x)) where there is a local maximum for the given polynomial function.