Given the function with f(3)=127 and f(1)=95, determine the rate of change over the interval 1≤x≤3.
1/32
32
16 *
1/16
change in y = (127 - 95) = 32
change in x = 3-1 = 2
32/2 = 16
To determine the rate of change over the interval 1≤x≤3, we need to calculate the difference in the values of the function f(x) at x=3 and x=1, and divide it by the difference in the x-values (3-1).
First, let's find f(3) and f(1) based on the information given.
f(3) = 127
f(1) = 95
Now, we can calculate the rate of change:
Rate of change = (f(3) - f(1))/(3-1)
= (127 - 95)/2
= 32/2
= 16
Therefore, the correct answer is 16.