PREC11 Unit1 notes

Function notation f x is f of x or the value of

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Unformatted text preview: tion. y (−2,4) All vertical lines crosses this graph at (2,4) only 1 point, so every x-value will be paired with a single y-value. x y (4,2) x (4,−2) The vertical line crosses the graph at 2 points, so this is one x-value that has 2 different y-values; this is not a function. exercise: Which of the graphs shown at the bottom of the previous page are functions? Function Notation f (x) is “f of x” or “the value of function f for any given value of the variable x”. f is the name of this function; other letters or words can be used to name functions. x is the variable that f depends on. Function notation can be used to define a function for a question. exercise: f (x) = x2 − 4 exercise: f (3) = (3)2 − 4 = 5 In this example the value of the function f for a given value of x is calculated by squaring the x-value and then subtracting 4. f (0) = f (1) = f (−1) = f (2) = f (½) = The graph of y = f (x) would have points (3,5) , ____________________________________ and many others. Unit 1 – Day 2: Functions Review and Quadratic Functions Page 3 of 4 ZEROS OF FUNCTIONS The zeros of a function are the x-values for which the function value is 0. example: Determine the zero(s) of the function The zeros of f (x) are 2 and −2. f (x) = x2 − 4 0 = x2 − 4 4 = x2 x = 2 o r x = −2 Whe...
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This document was uploaded on 02/16/2014 for the course MATH Pre-Calcul at Holy Cross Regional High School.

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