As the values of x increase towards infinity what happens to the values of g (x) = -5x+1

Think graphically.

The equation y = - 5x + 1 is a downwards line. If we were to plug in a really large value for x, we will get closer and closer to negative infinity.

This is also known as the end behavior of a function.

It is written as:

x - > inf, g (x) - > - inf