Question

Estimate the average rate of change between x = 0 and x = 2 for the function shown.

Answer 1

Answer:

whats the correct answer: 4, 5, 10 or 11?

Answer 2

Answer:

$m=5$

Step-by-step explanation:

The average rate of change m of a function is calculated using the following formula

$m=\frac{f(x_2)-f(x_1)}{x_2-x_1}$

In this case we look for the average exchange rate between $x = 0$ and $x = 2$.

Therefore we must find $f(2)$ and $f(0)$

You can see in the graph that when $x = 2$ then $y = 11$

therefore $f(2) = 11$

You can see in the graph that when $x = 0$ then $y = 1$

therefore $f(0) = 1$

Finally

$m=\frac{f(2)-f(0)}{2-0}$

$m=\frac{11-1}{2-0}$

$m=\frac{10}{2}$

$m=5$