Question

Look at the graphing tool. Notice that for these functions, there are two points of intersection since a line is crossing a u-shaped graph. Use the trace feature to find both points of intersection. (f(x) = ?), (g(x) = ?)

Answer 1

To find the points of intersection between two functions, use the trace feature on the graphing tool to determine the x-values at which the functions intersect. Substitute these x-values into either function to find the corresponding y-values.

Step-by-step explanation:

To find the points of intersection, we need to find the x-values at which the two functions intersect. Using the trace feature on the graphing tool, we can move the cursor along the graph of one function until it intersects with the other function. The x-coordinate of these intersection points will give us the values of x for which the two functions intersect. The y-coordinate of the intersection points will give us the corresponding values of y.

For example, if the two functions are f(x) = x^2 and g(x) = 3x, we would use the trace feature to find the x-values at which the two functions intersect. Let's say we find that the functions intersect at x = 2 and x = -1. We can then substitute these x-values into either function to find the corresponding y-values. In this case, when x = 2, f(x) = 4 and g(x) = 6, so one point of intersection is (2, 4). When x = -1, f(x) = 1 and g(x) = -3, so the other point of intersection is (-1, 1).