If is an even function, then
. In this case,
.
This is because an even function is symmetric about the . Hence the outputs of a negative x-value and a positive x-value are the same.
The correct option is the first option.
Since the graph is even, the outputs of a negative x-value and a positive x-value are the same.
For this case we have the following polynomial:
We make the following change of variables:
Rewriting we have
Factoring the second order polynomial we have:
Then, returning the change we have:
Finally, we factor the expression in the parentheses of the second term:
Answer:
the completely factored form is:
In a set of data, if the data is perfectly symmetrical then the mean is equal to the median. In this case, the median would be 50.
For example, consider the data set: {25, 50, 75}
The mean is going to be 50 because = 50
The median is also 50 because that is the middle number when ordered numerically.
Hope this helped! Let me know if you have any more questions.