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# 5 1 Linear Functions

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### Transcript

• 1. Warm Up Give the coordinates. Use (x,y) format. B F A D C E
• 2.
• A (-4, 6)
• B (3, 4)
• C (-1, -3)
• D (6, 0)
• E (2, -7)
• F (0, 8)
B F A D C E
• 3. Linear Functions & Graphs Holt Algebra I Chapter 5 Lesson 1
• 4. Vocabulary
• Function
• Ordered pair
• Domain
• Range
• Linear Equation
• 5. Function
• Group of paired numbers
• Each number of the first set is paired with only one number of the second.
• Example: (1,3) (2, 4) (3,3) could not be since the first and third examples have a different first digit, but are paired with the same second digit.
• 6. Function or not? Example One Example Two 6300 14000 3150 7000 2700 6000 1350 3000 900 2000 450 1000 300 600 350 500 400 400 350 300 300 200
• 7.
• Ordered Pairs
• (x,y) values
• x-axis (horizontal axis)
• y-axis (vertical axis)
• Start from the origin (0,0)
Left 6, down 3 7 right, up 3 3 right, 2 down Origin
• 8.
• Ordered Pairs
• On an Axis
• Points on the x-axis have the non-zero number as the x value.
• (-3,0)
• Points on the y-axis have the non-zero number as the y value.
• (0,4)
0 right, up 4 Left 3, up 0
• 9. Linear Equations
• Coordinates’ values that make the equation balance are graphed.
• If the graphed points make a line, the equation is called a line ar equation.
• 10. Find the missing y-value. Equation 2x +3y = 9
• (3, ?)
• Fill in the value that is known, then solve.
• 2(3) + 3y = 9
• 6 +3y = 9
• -6 -6
• 3y = 3
• y = 1
• (3,1)
• ( 0, ?)
• Fill in the value that is
• known, then solve.
• 2(0) +3y = 9
• 0 + 3y = 9
• 3y = 9
• y = 3
• (0,3)
• 11. 2x +3y = 9 All the coordinates of these points work in the above equation. Is the equation a linear equation?
• 12. Write an equation
• What is the domain?
• What is the range?
• What would the value of y be if x = 0?
• Equation: 4x + 8 = y
• y = 4x + 8
40 8 36 7 32 6 28 5 24 4 20 3 16 2 12 1 Rental Cost in dollars, y Time in hours, x
• 13. -Assignment-
• Page 224
• #13 – 33 odds