# 4 Functions

May 19th, 2015
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Situation: Byrd, the snail decides to take a straight walk in a garden. When he decides, he is 10 cm away from his house. Byrd could go 0.5 cm in 1 second. We could write the relationship between the position from Byrd’s house and the time as

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4 Functions1. FunctionSituation: Byrd, the snail decides to take a straight walk in a garden. When he decides, he is 10 cm away from his house. Byrd could go 0.5 cm in 1 second.We could write the relationship between the position from Byrds house and the time asWhere y is the position from Byrds house and x is the time.We call y as a function of x : y = f(x)When we want to find position from the time given, ae.g., find the position when the time is 2 second:We could plot the function as The equation above is called a linear function.The general form of a linear function:If If , If If x = m, Ex57 Find (1) (2) (3) (4) Practice57 Given , (1) (2) (3) (4) (5) Ex 58 If , find (1) (2) Practice58: (1) (2) Ex 59 The linear equation where . Find a and b.Practice59 The linear equation . Find a and b.Ex 60 Floor function (1) (2) If , what is a? (3) Plot (4) Plot Practice If , plot (1) (2) 2. Quadratic Function [Parabola]1. The simplest form: 2. Translation:If we have , means that the

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