algebra 2 problem

Question

F(x)=3x+2, I found the slope 3 and y intercept 2 I can't figure out the rate of change or whether it is constant, increasing or what

Answer 1

The rate of change is also known as the slope.  If your slope is 3 as in your example, F(x) will increase by 3 when x increases by 1.  The rate of change is constant for this function.  You will have an increasing rate of change when the function looks like this F(x)=ax²+bx+c where a, b, and c are integers known as coefficients.  Linear functions always have a constant rate of change and parabolic functions will have increasing or decreasing rates of change. 

Answer 2

F(x) is a linear function that increases at a constant rate.  This is because of the positive slope 3. So it increases at a constant rate of 3 for each x value.