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Home > INT3 > Chapter 2 > Lesson 2.2.1 > Problem 2-44

2-44.

Write a possible equation for each of these graphs. Assume that all axes are scaled by one unit. Check your equations on a graphing calculator.

  1. 2 sections of decreasing curves, with dashed vertical line at, x, = negative 2. Left section approaches, x axis from bottom, & vertical line from the left. Right section approaches, x axis from top, & vertical line from the right.

    Notice that this is a hyperbola .

  1. Upward parabola, vertex at (0, comma negative 5), passing through the points (2, comma negative 1), & (negative 2, comma negative 1).

    Notice that the vertex is .

  1. Increasing curve, rises quickly, flattens out as it passes through the point (3, comma 0), and then rises quickly again.

    Notice that this is a cubic graph.

  1. Increasing curve, with horizontal dashed line at, y, = negative 3. Left side of graph approaches the horizontal line from above, right side grows rapidly.

    Notice that this is an exponential graph.

  1. Increasing line, passing through the points, (0, comma negative 6), & (2, comma 0).

    Notice that the -intercept is .

  1. Increasing curve, rises quickly, flattens out as it passes through the point (negative 2, comma 3), and then rises quickly again.

    See the hints from parts (a)-(e) to help you solve parts (f)-(i).

  1. Upward parabola, vertex at (negative 3, comma negative 6) & passing through (0, comma 3).

  1. Downward parabola, vertex at (3, comma 6), and passes through (0, comma negative 3).

  1. Increasing curve, rises quickly, flattens out as it passes through the point (negative 3, comma negative 2), and then rises quickly again.

Use the eTool below to graph the equations.
Click the link at right for the full version of the eTool: Int3 2-44 HW eTool

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