The range in a frequency distribution is 22. If the lowest value is 3, what is the highest value?
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.
To find the highest value in a frequency distribution given the range and lowest value, you can use the formula:
Highest value = Lowest value + Range
In this case, the lowest value is 3 and the range is 22. Using the formula, we can calculate the highest value as:
Highest value = 3 + 22 = 25
Therefore, the highest value in the frequency distribution is 25.
To find the highest value in this frequency distribution, we need to use the formula for range. The range is the difference between the highest and lowest values.
We know that the range is 22 and the lowest value is 3. Let's represent the highest value as "x". Therefore, the range can be expressed as:
Range = Highest value - Lowest value
Substituting the given values into the equation, we get:
22 = x - 3
To solve for x, we need to isolate it on one side of the equation. Adding 3 to both sides, we have:
22 + 3 = x
25 = x
So, the highest value in the frequency distribution is 25.