Answer:
The first function is linear and the second is neither.
Step-by-step explanation:
A linear function has a constant rate of change.
The rate of change is the slope; it is found using the formula
Between the first two points, the slope is
m = (31-11)/(3-1) = 20/2 = 10
Between the next two points, the slope is
m = (51-31)/(5-3) = 20/2 = 10
This function has a constant slope, so the function is linear.
In order for a function to be exponential, the percent change between y-values must be the same.
To find the percent of change, we use the formula
For the first two points, this is
(5-2)/2 = 3/2 = 1.5
For the next two points, this is
(9-5)/5 = 4/5 = 0.8
This is not the same; this means it is not an exponential function.
