I know how to graph points but I need the points to this equation. f(x)=(-x)^4+4x^2-2x solve by making a table of values. It says I also need the coordinates at which the relative maxima and minima occur.

Unless you know calculus, you will have to determine where f(x) = is a maximum or minimum by graphing it or by trying various x values until you see which one works.

Since (-x)^4 = x^4, did you really mean to write -x^4 ? It will make a big difference in the answer

Yeah i meant -x^4

To solve the equation and find the points, as well as the coordinates of the relative maxima and minima, we can create a table of values.

Here's how you can do it step by step:

1. Start by choosing a range of x-values that you want to evaluate. Let's say we choose a range from -3 to 3.

2. Substitute these x-values into the equation f(x) = (-x)^4 + 4x^2 - 2x, and calculate the corresponding y-values.

For example, when x = -3:
f(-3) = (-(-3))^4 + 4(-3)^2 - 2(-3) = 81 + 36 + 6 = 123

Repeat this process for other x-values in your chosen range to fill out the table.

3. Once you have a set of x-values and their corresponding y-values, you can plot them on a graph. Place the x-values along the x-axis and the y-values along the y-axis.

4. Lastly, to find the coordinates of the relative maxima and minima, look for any points where the slope changes from positive to negative or from negative to positive. These points indicate that the graph reaches a peak or a valley.

You can determine the slope by comparing the y-values of adjacent points on the graph. If the y-values increase and then start to decrease, you have a relative maximum. If they decrease and then start to increase, you have a relative minimum.

By following these steps, you should be able to create a table of values and plot the points. You can also identify the coordinates of the relative maxima and minima by analyzing the slope of the graph.