Anonymous

# math question.. intro to functions?

Percentage of body fat is a function of age because at any given age, a person has exactly one number that represents his/her body fat percentage. For example, Mary is 40 years old and has 36% body fat. It is impossible for Mary at age 40 to have more than one body fat percentage. Therefore, body fat is a function of age.

In contrast, the price of a house is NOT a function of its size in square feet because two houses that have the same square footage can sell for different prices.

a.) Describe an everyday situation between variables that is a function as well as an everyday situation that is not a function.

b.) Sketch a graph of the function you created in part a.

c.) Analyze your graph and state a fact, a conclusion, or an observation about your graph. For example, you may answer questions such as the following (or come up with a question on your own!):

Are there any intervals on which the graph is increasing, decreasing, or constant? If so, state these intervals using interval notation.

What elements make up the domain of your graph? What elements make up the range of your graph?

Is there a maximum or a minimum on your graph? If so, where is the maximum/minimum?

What overall trend or conclusion can you draw from your graph?

Any help would be much appreciated, thank you!