Question

As part of a community service project at your highshcool you are organizing a fund raiser at the neighborhood movie theater money raised will benefit a summer camp for children with special needs the admission charge is 10.00 per person, 5.50 of which is used to pay the movie theaters rental fee, the remainder is donated to the summer camp fund what are the two variables involved in this problem

Answer 1

Yes it is a function. It passes the vertical line test. In other words, it is impossible to draw a single vertical line through more than one point on the V shaped graph. Any input leads to exactly one output.

The domain is the set of all real numbers. This is because we can plug in any x value leading to some specific y value. There are no holes or gaps or jumps to indicate we must restrict any given x value. The domain would not be the set of whole numbers only because values between the whole numbers (eg: decimal values like x = 2.75) work just fine.

The range is the set of y values such that y is either 0 or larger than 0. In short, the range is . Notice how any point on the V shaped graph has a y coordinate that is either 0 or larger than 0. It is impossible to get a y value that is negative.

Explanation: