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    Graphing Parent functions

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    Graphing parent functions such as quadratic, cubic, log and exponential functions.

    © BrainMass Inc. brainmass.com October 10, 2019, 7:59 am ad1c9bdddf
    https://brainmass.com/math/graphs-and-functions/graphing-parent-functions-603128

    Solution Preview

    This lesson shows how to graph the parent functions of quadratic, cubic, log and exponential. See attachment for graphs.

    Graphing Parent Functions
    Description: Graphing parent functions of quadratic, cubic, log and exponential functions.
    Quadratic Function
    Example 1
    Graph y = x2.
    Solution
    Step 1: Identify the domain and range of the function.
    Domain = R, the set of all real numbers, that is, (-∞,∞).
    So the graph exists for all values of x.
    Since x2 is non-negative for all values of x, the range is the set of all non-negative real numbers. That is, the graph exists only for non-negative values of y. So the graph doesn't exist below the x-axis.
    Step 2: Find the intercepts.
    For x-intercept, put y = 0.
    0 = x2.
    From this, x = 0.
    For y-intercept, put x = 0.
    y = 0.
    So the graph passes through the origin (0, 0).
    Step 3: Find the asymptotes.
    No asymptote occurs for the graph.
    Step 4: Determine the symmetry of the graph.
    Here, f(x) = x2.
    f(-x) = (-x)2 = x2 = f(x)
    So the graph is symmetric ...

    Solution Summary

    This solution gives detailed steps in graphing y = x^2, y = x^2, y = log (x) and y = e^X.

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