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    Two Segment Graph : Equation of Tangent and Calculation of Points

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    Please note: On the attached graph the scale is that each line represents one unit. Please show all work, thanks!!

    The graph of F consists of a semicircle and two line segments as shown (please see the attachment). Let g be the function given by:

    g(x)= def.integral from 0 to x f(t)dt.

    a Find g(3).

    b Find all value of x on the open interval (-2,5) at which g has a relative maximum. Justify.

    c Write an equation for the line tangent to the graph of g at x=3.

    d Find the x coordinate of each point of inflection of the graph g on the open interval (-2,5). Justify.

    © BrainMass Inc. brainmass.com February 24, 2021, 2:16 pm ad1c9bdddf
    https://brainmass.com/math/graphs-and-functions/two-segment-graph-equation-tangent-calculation-points-11110

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    Please note: On the attached graph the scale is that each line represents one unit. Please show all work, thanks!!

    The graph of F consists of a semicircle and two line segments as shown (see attachment). Let g be the function given by:

    a ...

    Solution Summary

    A two segment graph is analyzed to find the equation of a tangent line and to calculate point values.

    $2.19

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