Which answer is correct and why?   What is the horizontal line test and what does it indicate?   A.) A function f has an inverse that is a function, f^-1, if there is no horizontal line that intersects the graph of the function f at more than one point. It indicates that the function is one-to-one.   B.) A function f has an inverse that is a function, f^-1, if there is a horizontal line that intersects the graph of the function at least twice. It indicates that the function is not one-to-one. One of these answers is correct, and the other answer is incorrect. But my English brain cannot tell the difference. They

Q: A table for the function f(x) is shown to the right. Use the table to answer the questions below. y…

A: Explanation and solutions is given below....

Q: Is there a function that is both even and odd?

A: Yes, f(x)=0 is both even and odd.

Q: How to form a piecewise function by using linear function?

A: The piecewise function can be formed using linear functions as shown below.

Q: What is the common way to obtain a new function from an existing one?

A:

Q: construct a function. Sounds simple enough, right? However, the domain, and range must both be sets…

A: Let the domain be the set D where D is the of first 5 natural numbers.Let the range be the set R…

Q: can an even function be selv-inverse?an odd function?

A: Can an even function be self-inverse?an odd function?

Q: please help me with this Give an example of a function you used in everyday life. Determine the…

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: Give Definition of Odd Function ?

A:

Q: When two odd functions are multiplied, the combined function is also an odd function.     True or…

A: Given statement is, when two odd functions are multiplied, the combined function is also an odd…

Q: Determine which relation is NOT a function. {(-3, 4), (-0.5, 7), (2, 9), (5, 9.3)} • {(-2, 4), (0.5,…

A: topic - functions

Q: Is the following statement always true, always false, or sometimes true? "A function defined as a…

A:

Q: Explain how the vertical line test is used to detect functions.

A: Vertical line test: Draw a vertical line on the graph of the given equation. If the line passes…

Q: If a function passes the vertical line test then it has an inverse

A:

Q: Are they a function ? Explain {(4,5), (4,3), (5,2)}

A:

Q: which of the following are functions? justify your answer…

A:

Q: Explain Even Functions and Odd Functions?

A: Even function: A function is even if the graph is symmetric about y axis. Or Consider f(x) is any…

Q: Use f (x) = x – 3 and g (x) = to find the - given functions. (2 points each) 1) g • f 2) g • g Find…

A: The given functions are: f(x)=x-3          and          g(x)=xx+3

Q: About the Discontinuity of a function, kindly provide 5 Questions about it with solutions.

A: For a function f(x) to be continuous at a point x=a, it must satisfy the two of the following…

Q: Explain how to define the composition of two functions

A: Function composition is an operation that takes two functions f and g, and produces a function h=fog…