Consider the function f(:c) = % on the interval [3, 8]. (A) Find the average or mean slope of the function on this interval, i.e. f (8) f (3) 8 3 (B) By the Mean Value Theorem, we know there exists a c in the open interval (3, 8) such that f'(c) is equal to this mean slope. Find all : iv values of c that work and list them (separated by commas) in the box below. List of values: f, Consider the function f(x) = 2% + 1 on the interval [1,9]. (A) Find the average or mean slope of the function on this interval, i.e. f(9) f(1) 91 = \"L (B) By the Mean Value Theorem, we know there exists at least one c in the open interval (1, 9) such that f' (c) is equal to this mean slope. Find all values of c that work and list them (separated by commas) in the box below. List of values: 3" A function f(:c) and interval [0,, b] are given. Check if the Mean Value Theorem can be applied to f on [(1, b]. If so, nd all values c in [(1, b] guaranteed by the Mean Value Theorem Note, if the Mean Value Theorem does not apply, enter DNE for the c value. f(:1:) 2 7w2 + 113: + 1 on [0, 5] c = y; (Separate multiple answers by commas.) A function f(:1:) and interval [(1, b] are given. Check if the Mean Value Theorem can be applied to f on [a, b]. If so, nd all values c in [a, b] guaranteed by the Mean Value Theorem Note, if the Mean Value Theorem does not apply, enter DNE for the (1 value. f(m) = 121n(:v) 4 on [1, 16] c = 9" (Separate multiple answers by commas.)