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Recognizing Functions Practice

Practice Problems #1-7

Match each function to the correct graph.

Functions:

  1. Exponential
  2. Quadratic (parabola)
  3. Polynomial [f(x) = x3)]
  4. Piecewise
  5. Linear
  6. Absolute Value
  7. Step Function

Graphs:

  1. V-shaped graph decreasing from the left passing through points (negative 2, 3), (negative 1.5, 2.5), (negative 1, 2), (negative 0.5, 1.5) and (0,1) then increasing passing through points (0.5, 1.5), (1, 2), (1.5, 2.5) and (2.5, 3.5)
    See larger version of graph A here.
  2. Graph of an curve, increasing from left to right, passing through the points (0,1) and (1,e).
    See larger version of graph B here.
  3. graph of a straight line that passes between the points (0,0), (5,50), (10,100), (15,150), (20, 200), (25, 250), and (30, 300)
    See larger version of graph C here.
  4. Graph of two parts. One part is a straight line passing through points (negative 4, negative 5), (negative 3, negative 4), (negative 2, negative 3), and (negative 1, negative 2). The second part is a straight line passsing through the points (negative 1, 0), (0, 1), (1, 2), and (2, 3)
    See larger version of graph D here.
  5. Graph of a curve. Graph starts in the lower left and moves upwards through the points (negative 2, 8), (negative 1, negative 1), crosses through the origin at (0,0) and curves upwards. As it moves upwards, it crosses through the points (1,1), and (2,8)
    See larger version of graph E here.
  6. Graph of a downward facing parabola or U-shaped graph. The parabola passes through the points (negative 2, negative 3), (negative 1, negative 1), (0,0), (1, negative 1), and (2, negative 3)
    See larger version of graph F here.
  7. Graph of the cost of postage based on the weight in ounces. Weight in ounces plotted on the x axis from 0 to 6 ounces and the cost of postage plotted on the y axis in cents from 0 to 51 cents. The graph is a series of six line segments with closed points on the left side of each segment and open points on the right side of each segment. Each line segment is 1 unit in length.
    See larger version of graph G here.
Answers:
  1. Exponential = Graph B

    Answer:

    Graph of an curve, increasing from left to right, passing through the points (0,1) and (1,e).
    See larger version of exponential function graph here.

  2. Quadratic (parabola) = Graph F

    Answer:

    Graph of a downward facing parabola or U-shaped graph. The parabola passes through the points (negative 2, negative 3), (negative 1, negative 1), (0,0), (1, negative 1), and (2, negative 3)
    See larger version of quadratic function graph here.

  3. Polynomial [f(x) = x3)] = Graph E

    Answer:

    Graph of a curve. Graph starts in the lower left and moves upwards through the points (negative 2, 8), (negative 1, negative 1), crosses through the origin at (0,0) and curves upwards. As it moves upwards, it crosses through the points (1,1), and (2,8)
    See larger version of polynomial function graph here.

  4. Piecewise = Graph D

    Answer:

    Graph of two parts. One part is a straight line passing through points (negative 4, negative 5), (negative 3, negative 4), (negative 2, negative 3), and (negative 1, negative 2). The second part is a straight line passsing through the points (negative 1, 0), (0, 1), (1, 2), and (2, 3)
    See larger version of piecewise function graph here.

  5. Linear - Graph C

    Answer:

    graph of a straight line that passes between the points (0,0), (5,50), (10,100), (15,150), (20, 200), (25, 250), and (30, 300)
    See larger version of linear function graph here.

  6. Absolute Value = Graph A

    Answer:

    V-shaped graph decreasing from the left passing through points (negative 2, 3), (negative 1.5, 2.5), (negative 1, 2), (negative 0.5, 1.5) and (0,1) then increasing passing through points (0.5, 1.5), (1, 2), (1.5, 2.5) and (2.5, 3.5)
    See larger version of absolute value function graph here.

  7. Step Function = Graph G

    Answer:

    Graph of the cost of postage based on the weight in ounces. Weight in ounces plotted on the x axis from 0 to 6 ounces and the cost of postage plotted on the y axis in cents from 0 to 51 cents. The graph is a series of six line segments with closed points on the left side of each segment and open points on the right side of each segment. Each line segment is 1 unit in length.
    See larger version of step function graph here.

You've completed this review activity!