IDENTIFYING LINEAR FUNCTIONS IDENTIFYING LINEAR FUNCTIONS This graph

  • Slides: 13
Download presentation
IDENTIFYING LINEAR FUNCTIONS

IDENTIFYING LINEAR FUNCTIONS

IDENTIFYING LINEAR FUNCTIONS This graph is a function because each domain value (x’s) is

IDENTIFYING LINEAR FUNCTIONS This graph is a function because each domain value (x’s) is paired with exactly one range value (y’s). A function whose graph forms a straight line is called a ______________ __

IDENTIFYING LINEAR FUNCTIONS Is this a function? Is this a linear function?

IDENTIFYING LINEAR FUNCTIONS Is this a function? Is this a linear function?

IDENTIFYING LINEAR FUNCTIONS Is this a function? Is this a linear function?

IDENTIFYING LINEAR FUNCTIONS Is this a function? Is this a linear function?

IDENTIFYING LINEAR FUNCTIONS • Is this a function? • Is this a linear function?

IDENTIFYING LINEAR FUNCTIONS • Is this a function? • Is this a linear function?

WHAT IF NO GRAPH? There is a constant change in the domain (+1) and

WHAT IF NO GRAPH? There is a constant change in the domain (+1) and a constant change in the range values (-3)

There is a constant change in the domain values (+1), but there is NOT

There is a constant change in the domain values (+1), but there is NOT a constant change in the range values.

Tell whether the set of ordered pairs satisfies a linear function. Explain. {(– 4,

Tell whether the set of ordered pairs satisfies a linear function. Explain. {(– 4, 13), (– 2, 1), (0, – 3), (2, 1), (4, 13)} X y

Tell whether the set of ordered pairs satisfies a linear function. Explain. {(0, –

Tell whether the set of ordered pairs satisfies a linear function. Explain. {(0, – 3), (4, 0), (8, 3), (12, 6), (16, 9)} X y

CAN IT BE WRITTEN IN STANDARD FORM? • Standard Form: • Ax + By

CAN IT BE WRITTEN IN STANDARD FORM? • Standard Form: • Ax + By = C where A, B, and C are real numbers and A and B are not both 0. • Linear equations in standard form: • x and y have exponents of 1 • x and y are NOT multiplied together • x and y do NOT appear in denominators, exponents, or radical signs.

IS THIS A LINEAR FUNCTION? 1. Write in standard form: 2. Are both A

IS THIS A LINEAR FUNCTION? 1. Write in standard form: 2. Are both A and B zero? 3. Do x and y have exponents of 1? 4. Are x and y multiplied together? 5. Are x and y in a denominator, exponent, or radical sign?

IS THIS A LINEAR FUNCTION? 1. Write in standard form: 2. Are both A

IS THIS A LINEAR FUNCTION? 1. Write in standard form: 2. Are both A and B zero? 3. Do x and y have exponents of 1? 4. Are x and y multiplied together? 5. Are x and y in a denominator, exponent, or radical sign?

IS THIS A LINEAR FUNCTION? 1. Write in standard form: 2. Are both A

IS THIS A LINEAR FUNCTION? 1. Write in standard form: 2. Are both A and B zero? 3. Do x and y have exponents of 1? 4. Are x and y multiplied together? 5. Are x and y in a denominator, exponent, or radical sign?