Verify that the Intermediate Value Theorem applies to the indicated interval and find the value of c guaranteed by the theorem. f(x) = x² + 8x + 1, [0, 7], f(c) = 34

Q: Find the value of x where the fuction is discontinuous.     f(x)= x2 + 3 if x>2       = 3x + 1 if…

A: We have given the function

Q: 3.) For the functions f (x) = v16 – x and g(x) = 2x – 8 find (x) and give its domain in interval -…

A: It is known that fgx=fxgx.

Q: 1. Find the fixed point(s) of the function g(x) = 32³-62²-1+4 on the interval [0,4]. (Answer: √2/3,…

A:

Q: Determine the intervals on which the function f(x)=e√x is convex upward and convex downward.

A: We find f"(x)

Q: 2. Determine fx(x); x² + 1 f (x) = 3x

A:

Q: Find the domain of the function f(x) = √x + √(1 − x)

A: