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Consider the following function. (4x + 1, 1x² - 4₁ (a) Find the critical numbers of f. (Enter your answers as a comma-separated list.) -1,2 f(x) = increasing (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.) (-∞, -1),(0,00) (-1,0) decreasing X x < -1 x>-1 relative minimum (c) Apply the First Derivative Test to identify the relative extremum. (If an answer does not exist, enter DNE.) relative maximum (x, y) = -1, 3 (x, y) = DNE X

Consider the following function. (4x + 1, 1x² - 4₁ (a) Find the critical numbers of f. (Enter your answers as a comma-separated list.) -1,2 f(x) = increasing (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.) (-∞, -1),(0,00) (-1,0) decreasing X x < -1 x>-1 relative minimum (c) Apply the First Derivative Test to identify the relative extremum. (If an answer does not exist, enter DNE.) relative maximum (x, y) = -1, 3 (x, y) = DNE X

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Consider the following function. 4x + 1, f(x) = 2x² - 4, (a) Find the critical numbers of f. (Enter your answers as a comma-separated list.) X = -1,2 increasing (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.) (-∞, — 1),(0,∞) (−1,0) decreasing X x < -1 X > -1 (c) Apply the First Derivative Test to identify the relative extremum. (If an answer does not exist, enter DNE.) -1, -3 relative minimum relative maximum (x, y) (x, y) = DNE
Transcribed Image Text:Consider the following function. 4x + 1, f(x) = 2x² - 4, (a) Find the critical numbers of f. (Enter your answers as a comma-separated list.) X = -1,2 increasing (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.) (-∞, — 1),(0,∞) (−1,0) decreasing X x < -1 X > -1 (c) Apply the First Derivative Test to identify the relative extremum. (If an answer does not exist, enter DNE.) -1, -3 relative minimum relative maximum (x, y) (x, y) = DNE
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