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The table shown at the right gives y as a function of​ x, that​ is, y​f(x). Use the table to answer parts a through d below.

x

a. Is an input or an output of this​ function?
b. Is f ​(​) an input or an output of this​ function?
c. State the domain and range of this function.
d. Explain why this relationship describes y as a function of x.

User Meberem
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Explanation:

Relations can be written as ordered pairs of numbers or as numbers in a table of values. By examining the inputs (x-coordinates) and outputs (y-coordinates), you can determine whether or not the relationship is a function. Remember, in a function, each input has only one output.

A function is a relationship where there is only one output for every input. In other words, for every value of x, there is only one value for y. A functioning rule describes how to convert an input value (x) into an output value (y) for a given function. An example of a function rule is f(x) = x^2 + 3.

The phrase "y is a function of x" means that the value of y depends upon the value of x, so: y can be written in terms of x (e.g. y = 3x ). If f(x) = 3x, and y is a function of x (i.e. y = f(x) ), then the value of y when x is 4 is f(4), which is found by replacing x"s by 4"s .