The average rate of change of the linear function f(x) = 7x + 5 between any two points is
This is a good question Sally, it made me think for a moment.
The rate of change between 2 points is the change in output (difference of the f(x) values) over the change in input (difference of the x vaues). This is a line so the rate of change between any two points will always be the same. It is the gradient. And the gradient for this line is 7.
If you would like me to discuss this idea a little more I would be happy to do so.
This is a good question Sally, it made me think for a moment.
The rate of change between 2 points is the change in output (difference of the f(x) values) over the change in input (difference of the x vaues). This is a line so the rate of change between any two points will always be the same. It is the gradient. And the gradient for this line is 7.
If you would like me to discuss this idea a little more I would be happy to do so.