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Composite functions are useful when one quantity depends on a second quantity, and in turn that second quantity depends on a third quantity. This is an extremely general situation with lots of real-world applications.
1. The cost of getting new life insurance depends on how old you are, and how old you are depends on what year you were born. Provide an example a composite function using these variables.
2. The amount of time it takes to get to work depends on how much traffic there is, and the amount of traffic there is depends on what time of day it is. If we call the amount of traffic C and the time of day t, then C is a function of t. If we call the time it takes to get to work W, then W is a function of C. Provide an example of a composite function using these variables.
3. Make up your own example of a composite function. Be sure to explain (1) what your variables are, (2) how they are represented in the function, and (3) which elementary functions are combined to form the composite function.
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Assume you have a lemonade stand, & when you charge $1 per cup of lemonade you sell 50 cups. But when you raise your price to $2 you only sell 25 cups. Make an equation for the number of cups you sell as a function of the price you charge. Denote "C"..
For each of the relationships given below, describe whether you think it is best explained by a linear function or a non-linear function.
Which of the following are functions? The two problems, i.e., 1 & 3, are multi part relations consider all parts when determining whether or not these relations are functions. Explain your reason for 1, 2, & 3.
Using venn diagram for solving word problems.
The joint probability density function.
Applications of combination
Solving problems using venn diagram.
Solving problems into equation.
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