Identifying Linear Functions Worksheet With Answers printable pdf download

Identifying Linear Functions Worksheet With Answers

Notes for Lesson 5-1: Identifying Linear Functions

5-1.1 - Identifying a linear function by its graph

Vocabulary:

Linear function - a function whose graph forms a straight line

So if the graph of a function forms a straight line then it is a linear function.

5-1.2 - Identifying a linear function by using ordered pairs

Sometimes you can look at the ordered pairs of a function and determine if it is a linear function. In a linear

function, a constant change in x corresponds to a constant change in y.

Examples: Tell whether each set of ordered pairs satisfies a linear function.

We can also look at the equation of a function to determine if it is linear. A function is linear if it is described

by a linear equation.

Vocabulary:

Linear equation - an equation that can be written in the form Ax + By = C, where A, B and C are real

numbers and A and B are not both zero.

The standard equation of a line is Ax + By = C and this produces a line when:

a) both x and y have exponents of 1

b) x and y are not multiplied together (no xy terms)

and c) x and y do not appear in denominators, exponents or radicals

Example: Write the function in standard form and tell if it is linear

 





2 3

  

 

 

xy x

Identifying Linear Functions Worksheet With Answers