Question

Let f(x)=x2+2x+3 . What is the average rate of change for the quadratic function from x=−2 to x = 5? Enter your answer in the box.

Answer 1

Hello I just took the test and the answer is 5!

Answer 2

Answer: 5

Explanation:

• The average rate of change for the function f(x) from x=a to x=b is given by :-

`(f(b)-f(a))/(b-a)`

The given function :
`f(x)=x^2+2x+3` (Its a quadratic function with degree 2.)

The average rate of change for the quadratic function from x=−2 to x = 5 will be :-

`(f(5)-f(-2))/(5-(-2))\\\\=(((5)^2+2(5)+3)-((-2)^2+2(-2)+3))/(5+2)` [Note (-)(-)=(+)]

`=(25+10+3-(4-4+3))/(7)\\\\=(38-(3))/(7)\\\\=(35)/(7)=5`

Hence, the average rate of change for the quadratic function from x=−2 to x = 5 is 5 .