X- 0 1 2 3 f(x)- 0 4 7 6

Let f be a function with selected values given in the table above. Which of the following statements must be true?

I. By the Intermediate Value Theorem, there is a value c in the interval (0,3) such that f(c)=2 .
II. By the Mean Value Theorem, there is a value c in the interval (0,3) such that f′(c)=2 .
III. By the Extreme Value Theorem, there is a value c in the interval [0,3] such that f(c)≤f(x) for all x in the interval [0,3] .

step-by-step explanation:

1. practice, practice & more practice

2. review errors

3. master the key concepts

do not try to memorise the processes.

4. understand your doubts.

5. create a distraction free study environment

6. create a mathematical dictionary

7. apply maths to real world problems.

look at the picture.

y-intercept for the function on a picture is 4 → point (0, 4).

y-intercept for the function

is for x = 0. substitute:

y-intercept is 8 → point (0, 8).

current in the circuit at time t is /, then the power delivered to the resistor is

step-by-step explanation: