For a school play, the maximum age for a youth ticket is 18 years old. The minimum age is 10years old. Write an absolute value e
1 answer:
We have been given that maximum age for a youth ticket is 18 years old and minimum age is 10 years old.
Our first step is to find average age, that is, mid point of maximum and minimum. That would be
Difference between the average (mean) from maximum or minimum is |14-10|=4
Therefore, the required absolute value equation for which two solutions are the maximum and minimum ages for a youth ticket would be:
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Using the graph and function concepts, it is found that:
a) The domain is , while the range is
b) The function is increasing in and
, and decreasing
, and
.
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- The domain of a function is given by it's input values, that is, the values of x, the horizontal axis on the <em>graph</em>.
- The range of a function is given by it's output values, that is, the values of y, the vertical axis on the <em>graph</em>.
- If the <em>graph </em>is pointing upwards, the function increases.
- If the <em>graph </em>is pointing downwards, the function decreases.
--------------------
Item a:
- On the graph, the x-values are from -5 to 4, thus the domain is:
- The y-values are from -2 to -5, thus, the range is:
--------------------
Item b:
- On the graph, it is pointing upwards on the following intervals, for x-values: From 0 to 1, and from 2 to 3, thus, the function is increasing in
and
.
- On the other intervals,
, and
, the function is decreasing.
A similar problem is given at brainly.com/question/10891721