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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.

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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)
lesson 3 linear functions1

Examples

  • y=2x+4
  • d=4.5t
  • y=5x2
  • y=1/x+6
Lesson 3 (Linear Functions)
lesson 3 linear functions2

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)
lesson 3 linear functions3

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)
lesson 3 linear functions4

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.
Lesson 3 (Linear Functions)
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