Lesson 3 (Linear Functions)

Review: What is a linear function? What does it look like?

Linear functions are in the form of y=mx+b.

They form a straight line when graphed.

The x variable cannot have an exponent other than 1 and it cannot be on the bottom of a fraction.

Lesson 3 (Linear Functions)

Examples y=2x+4d=4.5ty=5x2

y=1/x+6

Lesson 3 (Linear Functions)

Always look at more than one way to determine if a function is linear.

Is the function represented by the following table linear?

Lesson 3 (Linear Functions)

Examples Does the equation 6x + 5y = 4 represent the same linear function as the table?

• Does the equation x – 2y = 4 represent the same linear function as the table?

Lesson 3 (Linear Functions)

Examples: Decide whether each of the following situations would represent a linear function:◦The perimeter of a regular pentagon

with a side length of x units.◦The volume of a cube with a edge of

x units.◦The value of x nickels and x

quarters.◦The amount of a 10% commission

earned on sales of x dollars.