The polynomial function f(x) is defined by f(x)=-4x^4+9x^3+2x^2-7x-2.

Use a graphing calculator to find all the points where there is a local minimum.

Round to the nearest hundredth.

This subject is not trig. You will have to use your own graphic calculator.

To find all the points where there is a local minimum, you can use a graphing calculator. Here's how you can do it:

1. First, input the polynomial function f(x) = -4x^4 + 9x^3 + 2x^2 - 7x - 2 into your graphing calculator.

2. Once you have entered the function, go to the graphing mode to see the graph of the function.

3. Look for the points on the graph where the function reaches the lowest values. These will be the points where there is a local minimum.

4. Using the cursor or trace function on your calculator, move along the curve of the graph and find the x-values corresponding to the local minimum points.

5. Take note of these x-values and round them to the nearest hundredth as instructed.

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