Answer:
The rate of change of function g is: 3/2
Step-by-step explanation:
Given the table of function g
x y
2 4
4 7
6 10
8 13
We know that rate of change is also termed as the slope of the function.
Thus,
let us take any two points, let say
(2, 4) and (4, 7)
Determining the slope between (2, 4) and (4, 7)
(x₁, y₁) = (2, 4)
(x₂, y₂) = (4, 7)
Using the formula
Rate of change or Slope = m = [y₂ - y₁] / [x₂ - x₁]
= [7 - 4] / [4 - 2]
= 3 / 2
Thus, the rate of change of function g is: 3/2
A is the answer because x^2-6x-7 is (x-7)(x+1).
