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Linear Functions 6-1 to 6-3

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  • Solve for y in this equation to determine if it is linear. 10x + 5y = 15
    y = -2x + 3 , it IS LINEAR
  • A bus driver charges $3 per mile, with an initial $5 fee. How much will you pay after 6 miles?
    $23.00
  • Is the following set of points a function? Explain why or why not.
    Yes! Every input(x) has ONE output(y)
  • What is the Range of the function?
    0 to 6 OR 0 to positive infinity
  • What is the y-intercept according to y = 2/3x ?
    0
  • What is the slope of a line parallel to y = 5/2x + 6
    5/2
  • Is this a linear function? Solve for y to determine -12x = 18 + 6y
    Yes! -3 - 2x = y
  • What is the equation for this graph?
    y = 2x + 4
  • What is the Domain of the function?
    -6 to +6 OR infinite
  • What is the equation for this graph?
    y = 3x - 5
  • What is the slope according to y = 2/3x ?
    2/3 up 2 over 3
  • What is the Domain of the function?
    -3 to 3
  • What is the equation for this graph?
    y = -2/3x + 3
  • All linear functions follow what formula?
    y=mx+b
  • You start with 30 apples, but 2 apples are eaten by each friend at your party. What equation represents this?
    y = -2x + 30
  • A bus driver charges $3 per mile, with an initial $5 fee. What equation represents this?
    y = 3x + 5
  • What is the Range of the function?
    1 to -3
  • Which graph is a function?
    D
  • Is this a linear function?
    NO, it does not follow y = mx + b
  • y = 7x + 5 represents your dog walking business; with x being the number of dogs, and y being the price. What does 5 represent?
    Additional fee or the start
  • y = 7x + 5 represents your dog walking business; with x being the number of dogs, and y being the price. How much will it cost for 3 dogs?
    $26.00
  • Is y = 2/3x linear or nonlinear?
    Linear!
  • Is the following set of points a function? Explain why or why not.
    NO! 3 has two outputs
  • Is the following set of points a function? Explain why or why not.
    Yes! Every input has ONE output
  • What is the rate according to y = -x + 7
    -1 ; down 1 over 1