Consider the following function. f(x) = x¹/⁹ + 5 (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.) (x, y) = relative maximum relative minimum (x, y) =
Consider the following function. f(x) = x¹/⁹ + 5 (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.) (x, y) = relative maximum relative minimum (x, y) =
Chapter3: Functions
Section3.2: Domain And Range
Problem 61SE: The cost in dollars of making x items is given by the function Cx)=10x+500. a. The fixed cost is...
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![Consider the following function.
f(x) = x¹/⁹ + 5
(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)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe8662d2e-45d6-4ad4-9d5d-41a3a3e900ca%2Ff5f9484f-cc6e-4e76-8ae6-d6b51e2e3046%2Fx7eabmp_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Consider the following function.
f(x) = x¹/⁹ + 5
(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)
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