Determine the range of the following graph: 12 11 10 6. 7 6. 4 3 -12-11-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 -1 3 4 5 6 7 8 9 10 11 12 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 Answer: Submit Answer or [] [,) (,] (, ) AU Real Numbers 8. VI

Q: Use the graph to determine the function's domain and range. 4 9.X. 12 -3 domain: (3) or (3,) range:…

A: We have to determine the domain and range of the given function from the graph.

Q: 6 -5 -3 -2 -1 0 23 4$6

A: Range - means the values we are getting on y-axis.

Q: Use the graph to evaluate the expressions (fog)(1)and (gof)(3). (fog)(1) = O y = f(x) 10 ₹ 8- 6…

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Q: Identify the indicated information for the function f(x)=3* -1. 67. Describe the transformations of…

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Q: Find the following for the graph below. A(-3,4) -5 -4 -3 -2 -1 a.) Domain: b.) Range: c.) f(-3) =…

A: Since you have asked multiple part question, we will solve the first 3 parts of the question for you…

Q: The following graph of g" has exactly three x-intercepts.a. For what values of x in (-4, 3) is the…

A: Graph : Here given graph of g'' (x) So here inflection point is x intercept of graph g''(x) So…

Q: Find the range for the following graph and write it in interval notation: -76 -5 -2 -1 1 -1 O[-7, 5]…

A: Range is set of output values or y values for which function is defined.

Q: 3. Which function has an increasing graph? 이 y= ) b.) y = () c.) y = (7-2)* d.) y= )*

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Q: I'm not using the correct symbols can someone help

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Q: 1) Shifts and relfectdions: Let f (x) := x’. Then do the following graph f(x) and f(x+2) in the same…

A: As per the guidelines I have to solve only first three subparts of your question. The solution is…

Q: Determine the range of the following graph: 12 11 10 6. 8 7 4 3 -12-1-10 -9 -8 -7 -6 -5 - -3 -2 -1 1…

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Q: 40 3아 2아 10 -10/-

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Q: Determine the range of the following graph: 12 11 10 9 8 -1 -12-11-10 -9 8 -7 -6 -5 -4 3 -2 -1. 1 2…

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Q: Answer the following items. a) Domain -10 -5 b) Range 10 -5 0 -5- -10 c) f(-3) 10 edit graph on…

A: According to Bartleby guidelines I can only answer the first three sub questions of the given…

Q: What is the domain of the function shown in the graph below? 10 6. 8 7 3. -10 -9 -8 7 8 9 -2 23 4 10…

A: Domain of the function is where function is well defined. Here function is no well defined at point…

Q: 7. a) Complete the below table of values for y = x³ – 4x for -3 <x <3 -3 -2 -1 -0.5 0.5 1 2 y

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Q: For the given function, find each of the following: (A) Intercepts (B) Vertex (C) Maximum or minimum…

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Q: Use the praphs of Pand g to nwer the folovng -2- (a) Jdentiry the domalns Dnd ranges of fand g.…

A: Domain of a function is "the set of all the values of x for which f(x) is finite or defined" Range…

Q: Graph of f(x) = x' is shown below. Describe the followings. a). intercepts b), domain c).range

A: A function is a relation which maps each value in its domain to exactly one value in its range.…

Q: 5. Graph the following and answer the following questions. { -3 メ43 frx) = x >3 Function ? Yes or No…

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Q: 12. Select the correct Trig. functions tepresenting the given graph. Hint: 2pi = 6.28 * 3 2 4 5 6.…

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Q: a. Domain: b. Range C. f(-3)= d. f(0) = e. f(x)=4 when x=_ f. f(x)=0 when x =

A: Given graph

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.