Consider the following function. f(x) = x¹/3 + 1 (a) Find the critical numbers of f. (Enter your answers as a comma-separated list.) X = (b) Find the open intervals on which the function is increasing or decreasing. (Enter your answers using interval notation. If an answer does not exist, enter DNE.) increasing decreasing (c) Apply the First Derivative Test to identify the relative extremum. (If an answer does not exist, enter DNE.) relative maximum (x, y) = ( relative minimum (x, y) =

Q: Find the following value for the function. f(x) =x+4, f(8) %3D f(3) = D %3D

A:

Q: Activity #2: Differentiate the following functions. 1. f(x)= -3x² - 4x + 12

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A:

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A: Detailed explanation:

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Q: x-4 5. f(x) = 2x3-4

A:

Q: Find the domain of the following function. f(x) = V3x – 45 (Зх — Give your answer in interval…

A: Given : fx = 3x-45

Q: If h(x) 6.x + 1, find h(). Is h a one-to-one function?

A: If h(x) = 6x +1. To find h(1/2). Also, to check whether h is a one-to-one function.

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A: Given functions are,