Below is the function f(x). 7-

Q: Given the function h (x) = -v2 – x, what is h (x)?

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Q: Let f (x) = -3 (x – 5) (x + 2) Let 8 (x) be represented by the graph below. Which statement is true…

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Q: How has the function g(), shown below, been transformed from the parent function, f(x) = x² ? g(x) =…

A: We can translate a graph of f(x) right c units by subtracting c inside the function argument f(x—c).…

Q: Find the values of x for which the function is continuous. - 7 f (x) = 2 + 84

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Q: Let us try to find where a function is increasing or decreasing given the following.  f(x) = x3−4x,…

A: Topic:- calculus

Q: 5. Use the equation to classify the function as odd, even, or neither. g(x) = 4x3- x %3D

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Q: Consider the following function f (x) = 2 |2 - 2|- la 4| What is f(35)

A: Since you have posted multiple questions, we will answer the first question. If you want the…

Q: Q3:Discuss the behavior of the following function as x0:

A: We have to discuss the behavior of the following function as x tends to 0. So, f(x) = 0 if x <_…

Q: Use the graph of the given function f(x) to find x such that f(x) = - 3. 2- ->

A: f(x) implies y in a cartesian plane so the value of y is the value of f(x)

Q: Find the domain of a function of the form f (x) = va – x².

A: Given function:- f(x) =√(a-x2)  To find:- Domain of given function f(x)

Q: 12. Is the function f(x) even, odd, or neither? 2x + 1

A: Given function is: fx=x22x+1 We know that a function f(x) is said to be an even function of x if…

Q: 3. (a) Differentiate the function f(x) = x2 from first principles.

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Q: Use the below table values to approximate f' (3) using the Three - point end point formula with h= -…

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Q: What type of discontinuity does the function f(x)=xsecx have?

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Q: 4. What is the domain and range of the parent function, and what is the domain and range of f (x)?…

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Q: Find the points on the graph of the function that are closest to the given point. f(x) = x² – 4,…

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Q: The function f (x) is in the interval

A: As per the given graph we see that there is no break or discontinuity in the graph of the function…

Q: 1. Is the function f(x)= x³ + x−1 even, odd, or neither?

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Q: Find the range of the function f(x,y)=-579+841/3971-x²-y² . 19 11

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Q: Here is a function of the form f (x) = ab". Which point on the graph immediately tells you the value…

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Q: Find the value of k, if the constant k that makes the function continuous:

A: Given,          f(x)=x2+k2if x≤4kx+12if x>4

Q: What is f’(2) for the function attached below?

A: We have to calculate the derivative of the given function at x=2 f'(2)…

Q: en the function f(x)= – (x+4)3, which of the following statement talks about its relative and…

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Q: Which of the following describes the end behavior of the function f(x)=√x −4 on the right?

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Q: X- e.

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Q: Identify the parent function of f(x) = (x + 3)°.

A: Given function is f(x)=(x+3)3 Parent function of the given function.

Q: Express the function in the form f ∘ g.

A: Given,  Fx=x-95   Since the formula for F says to first subtract 9 and then take the power of 5, we…

Q: The domain for the function f(x) = V-2(x – 1) is

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Q: Refer to the function f(x)=[x] determine f(-4.1)

A: Greatest integer function

Q: 1 g(x) 5 at x = 3 3

A: given function            g(x)=15.13xat x=3substitute x=3 in the given function

Q: Which of the following describes a true relationship between the functions f(x) = (x- 3)2 +2 and…

A: We have the following graph

Q: For what values of x is the function f(x) = x* - 2x? strictly increasing?

A: fx=x4-2x2 Differentiating with respect to x, we get f'x=4x3-22x=4x3-4x

Q: For Exercise, determine if the function is even, odd, or neither. f(x) = 3(x – 4)?

A: Given function

Q: What is the new function for g(x)

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Q: The below function has a root on the interval [-3,-1] f(x) = (x – 4)2(x + 2) true false

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Q: The domain of the function f(x)= sech( -8) is ( 160, A], Then The value of k = %3D

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Q: Which description below is true for the the domain of the following function?

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Q: A function has a zero at X = 8, indicating what?

A: Given, A function has a zero at X=8

Q: For the function f(x) =-, complete the table below: f(x+h)- f(x) xh 2. 4.

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Q: The function f(x)%= has a point of inflection when a = 0.

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Q: ) Determine the Range of the function g(x) = x³ for the Domain: {-1,0,1}

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Q: ? What is the domain of the function h(x)=

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Q: Q3 Discuss the behavior of the following function as x0:

A: Now this is a piecewise-defined function whose value is 0 for non-positive values and for positive…

Q: For which value of c is this function continuous? Please use exact values. S x² – c² x 4 c = The…

A: Solution is given below:

Q: 3) Classify the type of the fixed points of the function : f(x) = x³

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Q: Given the function f(x) = - (x+4)3, which of the following statement talks about its relative and…

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Q: . Find f(x), knowing that f (x)=10-0.5x +3x and that the graph of f(x) passes through the point…

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Q: 2. Given the function f (x) = Vx, sketch the parent function and f(x) = -2/(x + 3)+4 by using…

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Minimization

In mathematics, traditional optimization problems are typically expressed in terms of minimization. When we talk about minimizing or maximizing a function, we refer to the maximum and minimum possible values of that function. This can be expressed in terms of global or local range. The definition of minimization in the thesaurus is the process of reducing something to a small amount, value, or position. Minimization (noun) is an instance of belittling or disparagement.

Maxima and Minima

The extreme points of a function are the maximum and the minimum points of the function. A maximum is attained when the function takes the maximum value and a minimum is attained when the function takes the minimum value.

Derivatives

A derivative means a change. Geometrically it can be represented as a line with some steepness. Imagine climbing a mountain which is very steep and 500 meters high. Is it easier to climb? Definitely not! Suppose walking on the road for 500 meters. Which one would be easier? Walking on the road would be much easier than climbing a mountain.  

Concavity

In calculus, concavity is a descriptor of mathematics that tells about the shape of the graph. It is the parameter that helps to estimate the maximum and minimum value of any of the functions and the concave nature using the graphical method. We use the first derivative test and second derivative test to understand the concave behavior of the function.