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(a) Define the function f: R → R by f(x) = x2 - 6.
Briefly explain why f is not a 1-1 (one-to-one) function.
(b) Is the function g: Z → Z defined by g(n) = [n/2] a one to one function? (Be careful, [n/2] means the ceiling function.) Explain.
(c) Briefly explain what f-1 means, and find f-1 for part (a)
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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.
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