Match word to the correct definition

the point where a function goes from concave upward to concave downward

if f is continuous on a closed interval then f has both a minimum value and a maximum value on that interval

if the graph of a continuous function has a tangent line at a point where its concavity changes from upward to downward (or downward to upward), then the par is a .....?

there exists an interval (a,b) containing c such that f(x) is greater than or equal to f(c) for all x in (a,b)

when f(c) is greater than or equal to f(x) for every x in l

when f (c) is less than or equal to f(x) for every x in l

there exists an interval (a,b) containing c such that f(x) is less than or equal to f(c) for all x in (a,b)

A test allowing you to classify f(c) as a relative maximum, minimum, or neither

let be diffrentiable on an open interval. The graph of f is ....... on when f' is decreasing on the interval

let f be differentiable on a open interval. the graph of f is ......... on when f' is increasing on the interval

1. relative maximum

2. relative minimum

3. first derivative test

4. absolute minimum

5. absolute maximum

6. extreme value theorem

7. concave upward

8. concave downward

9. point of inflection

10. diminishing returns