f(x) = Vx3 + 9

Q: Obtain the graph of the inverse function from the graph of thefunction

A:

Q: Sketch a function that is one-to-one and positive for x Ú 0. Make a rough sketch of its inverse

A: If we take function fx=x2 on the interval [0,∞). This function is one to one and positive on the…

Q: Are you able to show me what steps you took to make the inverse function? How did you get there? Why…

A:

Q: Since the inverse is unique, it can be either g(f(x)) = for each x in the domain of f. V1+36x² 2x or…

A: Given that  and  are inverse functions.The aim is to find the given definition.

Q: O De termine whether the functien is even, odd or niether: f(x)=- +9x5 find the inverse of the…

A: Part aGiven,            f(x) = -5x3 + 9x5

Q: The following two graphs represent the graph of a function and its inverse, respectively: 3- -2 -1…

A: To show that, in the given two graph, second is inverse of first, we must show that any point on…

Q: What is the inverse of this function

A: Let, f(x) = y  So, f(x) = - 6x - 7 implies,

Q: State why the graph of the function f shown to the right is one-to-one.Then draw the graph of the…

A: Clearly no horizontal line passes through more than one point on the given graph. Hence given…

Q: HIverse lu ..... 4IDIGGO. O A. O B. C. O D.

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Q: Can the graph of a function be symmetric to the x- axis ? Explain why or why not. If a function is…

A: The answer is no. The graph of a function cannot be symmetric to x axis. The definition is as…

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.