Hello, eliW!

I hope I have interpreted the problem correctly.

Two functions: .

For which values ofais there only one intersection?

For which values ofaare there infinite intersections?

For which values ofaare there no intersections?

Function [1] is a horizontal line.

Function [2] is a line through the origin.

If , both graphs are thex-axis.

. . There are infinite intersections.

If , there is one intersection.