. Mean Value Theorem For the function f(x) = VI0x and the in- terval [a, b] = [0, 10], use the graph to make a conjecture about the f(b) – f(a) b — а value of c for which- f'(c). Then verify your con- jectured value by solving the equation- f(b) – f(a) b — а = f'(c) for c. 10+ -y = V10x 8+ 6+ 4+ 4 6 8 10 X 2.

Q: a) Find 2 x-intercepts of the function f (x) = a² + 6x . The x-intercepts are and (write smaller…

A: a) The x-intercepts of a function is the points where the graph crosses x-axis . The values of y…

Q: Use the graph below to fill in the missing values. f(x) -1 4 f(0) = f(«) — 0, х 3 f -'(0) = f («) —…

A: To find f(0) we find y when x=0 At x=0, y=4 So, f(0)=4

Q: Consider the function y = (x) where f(x) = x³ +2x2 - 4x and g(x) = x2 + 2. Determine a) the domain…

A: The domain of definition of a function is a set of those values for which we can define a function.…

Q: 5. Sketch the graph of one function f(x) that has all of the following properties: a.) f(-2) 0 b.)…

A: As per our guidelines we are supposed to answer  only one question. Here question 5) answer.