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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). Examples.

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Lesson 3 (Linear Functions)

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  1. 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)

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

  3. 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)

  4. 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)

  5. 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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