continuous function

Let f(x) be a continuous function from ℝ to ℝ such that f(x) = 1 − f(2 – x) Which one of the following options is the CORRECT value of $\int_0^2 f(x)dx$?

Suppose that f : R → R is a continuous function on the interval [-3, 3] and a differentiable function in the interval (-3, 3) such that for every x in the interval, f'(x) ≤ 2. If f...

A function $$f(x)$$ is continuous in the interval $$\left[ {0,2} \right]$$. It is known that $$f(0)$$ $$=$$ $$f(2)$$ $$= -1$$ and $$f(1)$$ $$ = 1$$. Which one of the following stat...