find the average rate of change for f(x) = x² + 7x + 10 from x = -20 to x = -15.\na -28\nb -36\nc 28\nd 36
find the average rate of change for f(x) = x² + 7x + 10 from x = -20 to x = -15.\na -28\nb -36\nc 28\nd 36
Answer
Explanation:
Step1: Find f(-20)
Substitute x = -20 into f(x): $f(-20)=(-20)^2 + 7\times(-20)+10=400-140 + 10=270$
Step2: Find f(-15)
Substitute x = -15 into f(x): $f(-15)=(-15)^2+7\times(-15)+10=225-105 + 10=130$
Step3: Calculate average rate of change
The formula for average rate of change of a function from $x = a$ to $x = b$ is $\frac{f(b)-f(a)}{b - a}$. Here, $a=-20$, $b = -15$. $\frac{f(-15)-f(-20)}{-15-(-20)}=\frac{130 - 270}{-15 + 20}=\frac{-140}{5}=-28$
Answer:
A. -28