Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

nd average rate of change from table score: 1/5 penalty: 0.25 off quest…

Question

nd average rate of change from table
score: 1/5 penalty: 0.25 off
question
watch video show examples
given the function defined in the table below, find the average rate of change, in simplest form, of the function over the interval $4 \leq x \leq 5$.
answer attempt 2 out of 2

Explanation:

Step1: Recall average rate of change formula

$\text{Average Rate of Change} = \frac{f(x_2)-f(x_1)}{x_2-x_1}$

Step2: Identify values from table

For $x_1=4$, $f(x_1)=6$; for $x_2=5$, $f(x_2)=10$

Step3: Substitute into formula

$\frac{10 - 6}{5 - 4} = \frac{4}{1} = 4$

Answer:

4