Generate a continuous and differentiable function f(X) with all 3 of the following properties f (x) is decreasing at r = -5f (x) has a local minimum at x =-2f (x) has a local maximum at x = 2Your classmates may have different criteria for their functions, so in your initial post in Brightspace be sure to list the criteria for your function.Hints:• Use calculus!Before specifying a function f (x), first determine requirements for its derivative f' (x). For example, one of the requirements is that f' (-2) = 0• If you want to find a function g (x) such that g (-9) = 0 and g(8) = 0, then you could try g(x)= (x + 9) (x –8).• If you have a possible function for f' (x), then use the techniques in Indefinite Integrals this Module to try a possible f (x).You can generate a plot of your function by clicking the plotting option (the page option with a "P" next to your function input). You may want to do this beforeclicking "How Did I Do?". Notice that the label "f (x) =" is already provided for you.Once you are ready to check your function, click "How Did I Do?" below (unlimited attempts). Please note that the bounds on the r-axis go from -6 to 6.f(x) =||How Did I Do?Try Another

Answered: Image /qna-images/answer/3deae8ca-72ab-4745-9b3a-21ca56d4911d.jpg

f (x) is decreasing at a = -5 f (x) has a local minimum at æ = -2 f (x) has a local maximum at x = 2 Your classmates may have different criteria for their functions, so in your initial post in Brightspace be sure to list the criteria for your function. Hints: • Use calculus! Before specifying a function f (r), first determine requirements for its derivative f' (x). For example, one of the requirements is that f' (-2) = 0 • If you want to find a function g (x) such that g (-9) = 0 and g(8) = 0, then you could try g(x)= (z + 9) (x –8). • If you have a possible function for f' (x), then use the techniques in Indefinite Integrals this Module to try a possible f (x). You can generate a plot of your function by clicking the plotting option (the page option with a "P" next to your function input). You may want to do this before clicking "How Did I Do?". Notice that the label "f (x) =" is already provided for you. Once you are ready to check your function, click "How Did I Do?" below (unlimited attempts). Please note that the bounds on the r-axis go from -6 to 6. f(x) = | How Did I Do? Try Another

f (x) is decreasing at a = -5 f (x) has a local minimum at æ = -2 f (x) has a local maximum at x = 2 Your classmates may have different criteria for their functions, so in your initial post in Brightspace be sure to list the criteria for your function. Hints: • Use calculus! Before specifying a function f (r), first determine requirements for its derivative f' (x). For example, one of the requirements is that f' (-2) = 0 • If you want to find a function g (x) such that g (-9) = 0 and g(8) = 0, then you could try g(x)= (z + 9) (x –8). • If you have a possible function for f' (x), then use the techniques in Indefinite Integrals this Module to try a possible f (x). You can generate a plot of your function by clicking the plotting option (the page option with a "P" next to your function input). You may want to do this before clicking "How Did I Do?". Notice that the label "f (x) =" is already provided for you. Once you are ready to check your function, click "How Did I Do?" below (unlimited attempts). Please note that the bounds on the r-axis go from -6 to 6. f(x) = | How Did I Do? Try Another

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter1: Functions

Section1.2: Functions Given By Tables

Problem 32SBE: Does a Limiting Value Occur? A rocket ship is flying away from Earth at a constant velocity, and it...

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