Sketch the graph of the function that satisfies the given conditions: (see attached image) ƒ(0) = 0, f'(-2) = f'(1) = f'(9) = 0,lim f(x) = 0, lim f(x) = -0,X-6ƒ'(x) < 0 on (-∞, -2), (1, 6), and (9, ∞),f'(x) > 0 on (-2, 1) and (6, 9),f"(x) > 0 on (-∞, 0) and (12, ∞),f"(x) <0 on (0, 6) and (6, 12)

- The function starts at, has critical points at , , and , and approaches zero as goes to…

Answered: f(0) = 0, f'(-2) = f'(1) = f'(9) = 0,…

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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For each of the four types of functions listed below, decide which of the pictures given represents each one. Linear Function Quadratic Function Exponential Function Rational Function For each of the following pictures/functions assume the red curve/line has arrows on the end and continues on forever in a similar manner as its parent graph. After deciding which picture matches each function, use Desmos or a comparable graphing program to insert the pictures and determine specific characteristics for each function. Characteristics Required for Graph of Each Function: Parent function (name and equation) from which this function came from Describe any transformations (specifically translations and/or reflections) from parent function (if any - state none if there aren't any) Domain / Range Y-intercept (if any - state none if there aren't any) Zeros (if any - state none if there aren't any) Any symmetry - if so is the function even or odd? End behavior Intervals of increasing,…
Briefly explain what the Mean Value Theorem tells us. Why do we require that f be a continuous function in order to apply this theorem? You may sketch a graph to explain your reasoning.
Note: Values of x should be typed in INCREASING order from LEFT to RIGHT. DO NOT include spaces in between characters. * At which point/s (value/s of x) is the function continuous but not differentiable? DO NOT include the variable. Just give the value/s of x. Type your answer/s in the following format: 2,-3 Your answer
`Answer both a and b Will give upvote if correct
can you express the function on graphed on the axes below as a piecewise function?
See image
Determine whether given graph is the graph of an even function, an odd function, or a function that is neither even nor odd. (see attachment).

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f(0) = 0, f'(-2) = f'(1) = f'(9) = 0, lim f(x) = 0, lim f(x) = -0, X-6 f'(x) <0 on (-∞, -2), (1, 6), and (9, ∞), f'(x) > 0 on (-2, 1) and (6, 9), f"(x) > 0 on (-∞, 0) and (12, ∞), f"(x) < 0 on (0, 6) and (6, 12)