FUNCTION GRAPH Nimas Mayang Sabrina S MSc Outline

FUNCTION GRAPH Nimas Mayang Sabrina S. , MSc

Outline Graph of: 1. Linear Function 2. Quadratic Function 3. Exponential Function

y = ax + b 1. Linear function

1. Linear Function General form: y = f(x) = ax + b, a and b constant a = slope b = line across y axis Domain and codomain: Df = , Wf = Graph: y = ax + b b

Exercises • Plot the graph of: 1. f (x) = 3 x – 1 2. f (x) = 2 x - 3

Exercises Plot the graph of:

2. Quadratic functions

Exercises 1. 2. Plot the graph of: y = x 2 + 5 x +4 y = -2 x 2 – x- 6

3. Exponential Function

The exponential function f with base a is defined by f(x) = ax where a > 0, a 1, and x is any real number. For instance, f(x) = 3 x and g(x) = 0. 5 x are exponential functions. 22 Copyright © by Houghton Mifflin Company, Inc. All rights reserved

The value of f(x) = 3 x when x = 2 is f(2) = 32 = 9 The value of f(x) = 3 x when x = – 2 is f(– 2) = 3– 2 = The value of g(x) = 0. 5 x when x = 4 is g(4) = 0. 54 = 23 Copyright © by Houghton Mifflin Company, Inc. All rights reserved

Example: Sketch the graph of f(x) = 2 x. x -2 -1 0 1

Example: Sketch the graph of g(x) = 2 -x. y f(x) = 2 x

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