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

Answer:  5

Step-by-step explanation:

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

$\dfrac{f(b)-f(a)}{b-a}$

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 :-

$\dfrac{f(5)-f(-2)}{5-(-2)}\\\\=\dfrac{((5)^2+2(5)+3)-((-2)^2+2(-2)+3)}{5+2}$  [Note (-)(-)=(+)]

$=\dfrac{25+10+3-(4-4+3)}{7}\\\\=\dfrac{38-(3)}{7}\\\\=\dfrac{35}{7}=5$

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

Answer 2

Answer:

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