Can the graph of a function be symmetric to the x- axis ? Explain why or why not. If a function is increasing and then decreasing, is it possible to find an inverse function ? Explain why or why not ?

Q: Which of the following graphs represent functions that have inverse functions?

A: If a function satisfies the horizontal line test, then it will be invertible. That means if we draw…

Q: Graph the function f(x) = (0.6)x by making a table of coordinates. If applicable, use a graphing…

A: Given

Q: What is the property of the function and its inverse? Graph the two functions show that f[f-1(x)]…

A: The given function is fx=2x+3x+2. obtain the inverse of fx=2x+3x+2.…

Q: what is the inverse of the function below?

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

A: Concept (for understanding): Horizontal Line Test Let f be a function. If any horizontal line…

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

A: Equation of a circle: If a circle has radius r and centre as (h, k). Then, equation for this circle…

Q: The depth of the tide d at a beach in terms of the time t over a 24-hour period.Determine whether…

A: Given the statement that the depth of the tide d at a beach in terms of the time t over a 24-hour…

Q: For Exercise, determine if the statement is true or false. If a statement is false, explain why.The…

A: Given:  determine if the statement is true or false. If a statement is false, explain why. The range…

Q: Use a graphing utility to graph the function h(x) = ∣x∣ − ∣x − 4∣, and use the Horizontal Line Test…

A: Consider the given function. hx=x-x-4   Using graphing utility we draw the graph of given function.

Q: 4. The functions graphed below are inverse functions? True False

A: The objective is to find the correct option.

Q: Only functions whose graphs pass the ___________ _____ test will have an inversethat is also a…

A: To Determine: Only functions whose graphs pass the ___________ _____ test will have an inversethat…

Q: If you are given a graph of f, how do you find a graph of the inverse function f -1 ?

A: To graph, the inverse function f-1, use the following steps. Step 1) Mark some points on the graph…

Q: b. What would be another acceptable way to restrict the domain of the inverse function?

A: We have, y = sinx  So, x = sin-1(y)

Q: Use the graph of f to draw the graph of its inverse function.

A:

Q: Find the inverse function f-(x), if f(x) = 2 + 7

A:

Q: Does the given graph (see attached) represents the function that has an inverse function?

A: If drawing a horizontal lines through the graph and that lines cut the graph only once each. Then…

Q: Use a graphing utility to graph the function f(x) = x√(9 − x2), and use the Horizontal Line Test to…

A: The given function is fx=x9-x2. Using calculator, sketch the graph of fx=x9-x2 as shown below.

Q: Does the graph represent a function that has an inverse function? f(x)

A: Horizontal line test Let f be a function. If any horizontal line intersects the graph of f more than…

Q: Use symmetry to graph the inverse of the function.

A: In this we are going to use the symmetry of inverse function around line y=x, so I'm providing hand…

Q: Could you please inverse the function and provide a step by step guide on how to get the answer?…

A:

Q: Does the graph represent a function that has an inverse function? Choose the correct answer below.…

A: This question is related to functions, we will Horizontal Line test to solve it.

Q: For the graph below, identify a restricted domain for which the function has an inverse that is also…

A:

Q: How does your relationship with someone special related to the one-to-one and inverse function?

A: We will try and understand one one functions and inverse functions using the relations around…

Q: Use a graph to sketch the inverse of the function shown

A:

Q: Does the graph represent a function that has an inverse function? Choose the correct answer below.…

A: A function is a relation in  x and  y, we say  “y is a  function of  x” if for each element x in the…

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

A:

Q: Does the function below have an inverse? Explain.

A:

Q: To find the inverse of a function, ____________ the coordinates in each ordered pairfor the…

A: The given statement is "To find the inverse of a function, ____________ the coordinates in each…

Q: What is the equation of the inverse for this function?

A: we have to find the inverse of the function f(x)=log2(9x)

Q: The graph of a function and the graph of its inverse always have symmetry across

A: The graph of a function and the graph of its inverse always have symmetry accross the line y=x.

Q: s the inverse of the function whose graph is

A: We have to choose the correct answer

Q: a) Explain in words how does the inverse of a function f'(x) relate to the original function f(x).…

A: Inverse of a function is the way of finding the original point of function. If at x=0, f(x)= 2, then…

Q: Graph the function h(x) = (1/3)x by making a table of coordinates. If applicable, use a graphing…

A: Solution:-  The given function is  h(x)=13x

Q: In your own words, describe what it means to say that the function g is the inverse function of the…

A: g is the inverse of f

Q: Describe the relationship between the graph of a function and the graph of its inverse function

A: Given that graph of function and graph of its inverse function.

Q: What condition does a function have to meet to have an inverse and describe the process to find that…

A:

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

A: Given that: Graph of a function.

Q: Sketch the graph of the function by making a table of values. Use a calculator if necessary.…

A: The function is given by fx = 3x To evaluate : The sketch of the function by completing the…

Q: Explain why only one-to-one functions have inverses that are also functions.

A: We know that a function f:A→B is a special type of relation. We are interested in getting the…

Q: Sketch the graph of each function and its inverse function considering the restriction in the domain…

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Q: Does the graph represent a function that has an inverse function? 2)

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Q: Does the graph represent a function that has an inverse function? .... Choose the correct answer…

A: Recall: Horizontal line test :     Let f be a function.If any horizontal line intersect the graph of…

Q: How can a graphing utility be used to visually determine if two functions are inverses of each…

A: Consider the given information as  Graphing utility be used to visually determine if two functions…

Q: How are the graphs of a function and its inverse are closely related?

A: The function f(x) and g(x) are the inverses of each other if it satisfies the identity…

Q: If f(x) has an inverse function f-¹(z), could either the graph of for the graph of f be symmetric…

A: Given that fx has an inverse function f-1x. We have to check and explain if either the graph of f or…

Q: The graph of a constant f(x)= c for any constant is c is a horizontal line through the point (0,C)…

A: The graph of a constant function  f(x)= c for any constant is c is a horizontal line through the…

Q: What is the relationship between the graph of a function and the graphof its inverse?

A: Consider the function fx and inverse of f(x) is represented by f-1x.

Q: Why do we restrict the domain of a function when we are finding the inverse? *

A:

Q: How are the domains, ranges, and graphs of functions and their inverses related? Give an example.

A:

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.