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Functions Review

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  • Write the function rule for the statement: The output is two more than one-forth of the input.
    y=(1/4)x +2
  • List the ordered pairs. Then determine if this is a function or not.
    NOT a function
    Function
  • Does the table show a function? Explain why or why not.
    Yes, there is only one output for each input.
  • Saul has filled in the following table for the linear function y = 7x + 4. What mistake did Saul make with his coordinates in the table?
    the point (0,2) should be (0,4)
  • You decide to make and sell bracelets. The cost of your materials is $84.00. You charge $3.50 for each bracelet. Write an equation to represent the profit (P) you would make from selling (B) bracelets.
    y = 3.50x - 84 or P = 3.50B - 84
  • Determine if the relation is linear or nonlinear. Justify your answer.
    Linear: x increases at a constant rate (+5) and y increases at a constant rate (+3).
  • Write an equation in slope-intercept form to represent the function (y=mx+b)
    y = (3/2)x + 3
  • Is this relation a function or not a function?
    Function
    NOT a function
  • Find the value of y for the given x-value. y = 2-9x, x=(-5)
    y = 47
  • Determine if the relation is linear or nonlinear. Justify your answer.
    Linear: x increases at a constant rate (+3) and y increases at a constant rate (-4).
  • List the ordered pairs. Then determine if this is a function or not.
    Function
    NOT a function
  • List the ordered pairs. Then determine if this is a function or not.
    NOT a function
    Function
  • Determine if the function is linear or nonlinear. Justify your answer.
    Nonlinear: it is not a straight line.
  • Is this relation a function or not a function?
    NOT a function
    Function
  • Explain whether y = 4x + 8 is a linear function or nonlinear function.
    It is linear because the rate of change is 4/1 or 4. The line of the graph is straight.
  • Write the function rule for the statement: The output is two less than the input.
    y=x-2
  • What function could have produced the values in the table?
    B
  • Find the slope and y-intercept for the following equation. y = (2/3)x + 4
    slope =2/3, y-intercept is (0,4)
  • Does the table show a linear or nonlinear function? If it is linear, write an equation.
    Nonlinear, the line of the graph is not straight. The rate of change is not constant.
  • What is an equation in the form of y = mx + b that represents the function defined by this table of values?
    y = 2x - 1
  • Is this relation a function or not a function?
    NOT a function
    Function
  • Is this relation a function or not a function?
    Function
    NOT a function
  • Is this relation a function or not a function?
    Function
    NOT a function
  • Is this relation a function or not a function?
    Function
    NOT a function
  • Is this relation a function or not a function?
    Function
    NOT a function
  • Is the following function linear? y+2x=4
    Yes
  • A car produces 20 pounds of carbon dioxide for every gallon of gasoline burned. Write an equation to represent this function.
    y = 20x
  • Is this graph linear or non-linear? Explain your answer.
    Non-linear: not a straight line
  • Find the value of the ?: (1, 2) (3, 4) (5, 6) (7, 8) (?, 10)
    -9
    10
    9
    -10
  • An airplane travels at an altitude of 16,000 feet. As it descends, it drops 500 feet per minute in elevation. What is an equation that represents the altitude of the airplane?
    y = -500x + 16,000
  • Which equation produces a graph with a straight line?
    y = 2x + 7
  • What is an equation in the form of y = mx + b that represents the function described by the graph?
    y = -2x + 2
  • Find the value of y for the given x-value. y=(x/3)+5, x=6
    y=7
  • Is this graph linear or non-linear? Explain your answer.
    Non-linear - it is not a straight line.
  • Find the value of the ?: (1, 2) (2, 4) (3, 6) (4, 8) (5, ?)
    10
    5
    -10
    -5
  • A dolphin eats 30 pounds of fish per day. Write and equation and use it to find how many days it would take the dolphin to eat 390 pounds of fish.
    13 days
  • Find the slope and y-intercept for the following equation. y=(1/2)x+9
    slope =1/2, y-intercept is (0,9)
  • Is this relation a function or not a function?
    NOT a function
    Function