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This lesson covers the basics of function notation through a practical example involving textbook costs. The math department is considering purchasing new textbooks priced at $94 each. We define the total cost, C, as a function of the number of books ordered, n, represented by the equation C(n) = 94n. For instance, ordering 10 books results in a total cost of C(10) = $940. Additionally, we evaluate various examples involving functions, including graph interpretation and domain and range determination, to deepen understanding of function notation.
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The math department has looked into purchasing new textbooks for this course. The best deal is at a cost of $94 per textbook. • The total cost of the books, C, depends on the number of books that are ordered, n. Since the cost is a function that depends on the number of books ordered we should write it’s equation using function notation. • C(n) = 94n
The cost of ordering 10 new books would be $940. We can show this mathematically by replacing the n in the equation with 10 : C(n) = 94n C(10) = 94(10) C(10) = 940
Example #1: Given the function Evaluate: a) b)
Example #2: Given the following graph of the function y=g(x) Evaluate: • f(-1) • f(0) – f(2) • For what value(s) of x does f(x)=0? • State the Domain and Range.
Homework Page 32 #1 – 4, 6, 9ac, 11, 12, 14