I have to graph some graphs but I don't the main image points for the base function to make transformations.

Specfically, f(x)=x^3 f(x)=x^4 f(x)=x^5 and it goes on. How do I find them to make my transformations?

what kind of transformations?

I don't have problems with the transformations. Just graphing the base function is my problem because I don't know the image points.

To graph the given base functions f(x) = x^3, f(x) = x^4, and f(x) = x^5, you can start by identifying some key points on each graph. Here's how you can do it:

1. Start with the base function f(x) = x. This is a straight line passing through the origin with a slope of 1.

2. For f(x) = x^2, square the x-values from the base function to get the corresponding y-values. For example, when x = 1, y = 1^2 = 1. So, you have the point (1, 1). Find a few more points by squaring other x-values.

3. Similarly, for f(x) = x^3, cube the x-values from the base function and find the corresponding y-values. For instance, when x = 2, y = 2^3 = 8. Therefore, you have the point (2, 8). Determine more points in a similar manner.

4. Repeat the process for f(x) = x^4 and f(x) = x^5. Raise the x-values to the 4th power and 5th power respectively to find the y-values.

By calculating these points, you will have a set of coordinates for each base function. Plot these points on a graph and connect them to get an accurate representation of the graphs. Keep in mind that these base functions will have specific shapes and characteristics, which will help you understand the transformations applied to them later on.