Estimate the instantaneous rate of change for x=2 for

y=x
y=x^2
y=7

1 answer

the instantaneous rate of change at a point is the slope of the graph at that point.

Your first and last equations are straight lines, which of course have a constant slope. For those just state the slope of the lines.

for the second one : y = x^2

find the y values for x = 2 and x = 2.01
you now have two points, find the slope between those two points and round off