f(x) = Vx3 + 9

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

A:

Q: 6. For the given functions:   i)  Find the inverse of f, ii)  Graph both functions on the same…

A: According to the given information: For part (i) it is required to find the inverse of functions.

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: verse

A:

Q: Suppose a one-to-one function has domain [1,00) and range (-2,2). What is the domain of the inverse…

A: see below the explanation and answer

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

A:

Q: Why is it important to determine the domain of f beforegraphing f ?

A: Domain of a function: The set of values of input of a function for which output of the function…

Q: Does the graph represent a function that has an inverse function

A: Given that: Graph of a function.

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.