Answer
$2m \leq \int_{0}^{2} f(x)~dx \leq 2M$
We can use Comparison Property 8 to make this conclusion.
Work Step by Step
On the interval $0 \leq x \leq 2$:
$m \leq f(x) \leq M$
Therefore, by the Comparison Property 8:
$m(2-0) \leq \int_{0}^{2} f(x)~dx \leq M(2-0)$
$2m \leq \int_{0}^{2} f(x)~dx \leq 2M$
We can use Comparison Property 8 to make this conclusion.
