Question

Please help me with this, it'll clear up this test I'm about to take today.

When you're graphing a function, and its inverse, there is a table where you list the x and y factors. I know how you're supposed to solve for the y coordinate, by plugging in the x factor into the function and solving it for y. However, how do you know what your x factors are going to be?

Answer 1

Explanation:

We want to identify how to determine the x-factors for the graph of a function.

On some occasions, the x values for the function will be provided for you to solve for the y values. but on other occasions, the x values are not provided and you have to decide them yourself.

For a linear function, most times, you can pick values within any range of values, e.g from 0 to 5, or 2, 4, 6, 8, 10. Since it is a linear function, it will eventually result in a straight line that contains all other points.

For a quadratic function, the best practice is to pick points around the vertex of the function. The vertex of a function is either the minimum or maximum point of the function.

For example, if the vertex of a quadratic function is (4, 10), the x-coordinate of the vertex is 4. To pick your points, pick points that are some values below 4 and some values above 4, like 2, 3, 4, 5, 6 or 0, 2, 4, 6, 8 That way, you get points that are on either side of the vertex and that will make your plot easier.

Hope that helps!