Consider the following function. f(x) = x3 + 3x2 - 45x + 9 (a) Make a sign diagram for the first derivative. ---Select--- v ---Select--- v --Select--- v ---Select--- v -Select--- v (b) Make a sign diagram for the second derivative. Select-- v --Select--- v Select- v (c) Sketch the graph, showing all relative extreme points and inflection points. y y 150 150 150 100 100 100 50 IP 30 50 IP - 10 L5 5 10 -10 -5 10 -10 -5 5 50 50 50

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A: It is given that Farenheit is a function of temperature in Celcius.And the temperature in Celsius…

Q: How to form a piecewise function by using linear function?

A: The piecewise function can be formed using linear functions as shown below.

Q: Find the slope of the graph of the function at the given value. f(x)=-4x²+6x- when x=-3 802 9 a)…

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Q: Determine which relation is NOT a function. {(-3, 4), (-0.5, 7), (2, 9), (5, 9.3)} • {(-2, 4), (0.5,…

A: topic - functions

Q: For ((3,5), (4, -2). (x, 3), (0.-6)} to be a function, which should not be the value of x? 0-2 O 5…

A: Solved below

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Q: Use the graph of the function f shown to the right to answer parts (a)-(n). 4 (-3,3) (a) Find f( -…

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Q: If (- 2, 3) is a point on the graph of a one-to-one function f,which of the following points is on…

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Q: {(-9,-1),(-3,1),(8,8),(1,1)} Does the given relation represent a function? Yes No.

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Q: What does it mean for a function to be defined implicitly by an equation?

A: An implicitly defined function is a function that is presented as the solution of some equation or…

Q: 3x² +5 (-∞,-2) Given the following piecewise function, evaluate the following: f(x) = (-x+3 [-2, ∞)…

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Q: Assume that f is a one-to-one function. (a) If f(7) = 15, find f(15). f-1(15) = (b) If f-1(40) = 20,…

A: Use one to one function property

Q: How do we use functions in real-life scenarios?

A: In simple terms, I would define a function as a machine that takes an input, and returns an output…