Question

What is the average rate of change for ƒ(x) = −3x + 79 over the interval 2 ≤ x ≤ 4?

Answer 1

Answer:

The average rate of change is -3.  

Step-by-step explanation:

Given : Function $f(x)=-3x+79$ over the interval 2 ≤ x ≤ 4.

To find : What is the average rate of change ?

Solution :

Function $f(x)=-3x+79$ over [2,4]

The rate of change is the slope of the line,

So, $\text{Rate of change}=\frac{f(4)-f(2)}{4-2}$

$f(4)=-3(4)+79$

$f(4)=-12+79$

$f(4)=67$

$f(2)=-3(2)+79$

$f(2)=-6+79$

$f(2)=73$

Substitute,

$\text{Rate of change}=\frac{67-73}{4-2}$

$\text{Rate of change}=\frac{-6}{2}$

$\text{Rate of change}=-3$

Therefore, The average rate of change is -3.

Answer 2

Answer:-39

Step-by-step explanation: yt Top Daily be lit