Finite Chapter 1.1

Finite Chapter 1.1 - -t² if-4 ≤ t< 3 find-t 5 if t ≥...

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Math 120 SP08 SBrodnick 1 1 Chapter 1 : Functions and Linear Models 1.1 : Functions from the Numerical and Algebraic Viewpoints 2 1.1: Functions from the Numerical and Algebraic Viewpoints * Function : * something depends on something else * one (and only one) output for each input * Dependent variable (on the y -axis) depends on Independent variable (on the x -axis) 3 Examples : 1. Given x -5 -2 3 7 f(x) 0 7 -5 4 , find a. f(3) b. f(-2) c. f(7) – f(3) 2.Given f(x) = 5x + 6, find a. f(0) b. f(3) c. f(-4) 1.1: Functions from the Numerical and Algebraic Viewpoints d. f(c) e. f(2x²) f. f(x + h) 4 * Evaluating functions on your calculator… Enter 5x + 6 into Y 1 Go to main screen (2 nd Quit) Press VARS, over to Y-VARS, 1:Function, 1:Y 1 Type parentheses and number: Y 1 (0) Enter 1.1: Functions from the Numerical and Algebraic Viewpoints 5 2t + 2 if t < -4 3.Given g(t) =
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Unformatted text preview: -t² if -4 ≤ t < 3 , find-t - 5 if t ≥ 3 a. g(0) b. g(-4) c. g(3) d. g(-5) e. g(2) f. g(-5) + g(-1) – g(4) 1.1: Functions from the Numerical and Algebraic Viewpoints 6 * Domain interval notation : [ means include , ( means don’t include [-4, 4]: all values of from -4 to 4, including-4 and 4 (-4, 4): all values of from -4 to 4, not including-4 or 4 [-4, 4): all values of from -4 to 4, including -4, but not 4 1.1: Functions from the Numerical and Algebraic Viewpoints Math 120 SP08 SBrodnick 2 7 4.Given h(x) = √(9 - x²) with domain [-3, 3], find a. h(0) b. h(-3) c. h(1) d. h(-4) 5.Given f(x) = x² + 6 , find a. f(x + h) – f(x) b. f(x + h) – f(x) h 1.1: Functions from the Numerical and Algebraic Viewpoints...
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This note was uploaded on 04/07/2008 for the course MAT 120 taught by Professor Brodnick during the Spring '08 term at Illinois State.

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Finite Chapter 1.1 - -t² if-4 ≤ t< 3 find-t 5 if t ≥...

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