What is the condition or rule that must be satisfied For a f

What is the condition, or rule, that must be satisfied, For a function to be a one to one function\"\' b. Give one example of a one to one function? Which functions Have inverse functions? Explain, to your mother, what the idea of an inverse function is, in one or two sentences. The function f(x) is defined by the table below. Make a table for the inverse function f^-1(x).

Solution

2)

a) A  function for which every element of the range of the function corresponds to exactly one element of the domain.One to One is often written 1-1. A y we know that f(x) is defined  if it passes the vertical line test. It is a 1-1 function if it passes both the vertical line test and the horizontal line test.

b)example 3x-2 is one one function

3) Inverse function isrealation defined by the reflection of the original graph over the identity line, y = x. It may be necessary to restrict the domain on certainn functions to guarantee that the inverse relation is also a function.

b)We know Here\'s my original Function Y = interm of some X: Now I\'ll try to solve for \"x = in term of Y\": Once I have \"x =in terms of Y\", I\'ll switch x and y; the \"y = in term of X\" is the inverse. Then the inverse is y = ^{(x + 2)} / _{3 from y = 3x -2 as orignal funtion.}