The range in a frequency distribution is 22. If the lowest value is 3, what is the highest value?
2 answers
provide a detailed explanation of why a function must be a one-to-one function to have an inverse.
22+3 = 25
If there are several values of x with the same y, then if you turn it sideways there are many values of y for the same x and we can not write y = f(x) and get a unique answer.
An example is a sine function
y = sin x
that is a perfectly good function, one y for each x.
However is we invert it
x = sin y or y = sin^-1 x
then there are many (infinite number of) values of this inverse function for each value of the argument and it is not a function.
If there are several values of x with the same y, then if you turn it sideways there are many values of y for the same x and we can not write y = f(x) and get a unique answer.
An example is a sine function
y = sin x
that is a perfectly good function, one y for each x.
However is we invert it
x = sin y or y = sin^-1 x
then there are many (infinite number of) values of this inverse function for each value of the argument and it is not a function.
1 answer