calculus

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Given the function f(x) = 3x - 9
a. Find the rate of change between the two stated values for x: 7 to 8

b. Find the equation of a secant line containing the given points: (7, f(7)) and (8, f(8))

  • calculus -

    curious question in Calculus.
    Since the function is a straight line, it seems very odd to be talking about secant lines, anyway ....

    f(7) = 12
    f(8) = 15
    rate of change = (15-12)/(8-7) = 3

    Note that this is the slope of the given line as expected.
    The equation of the secant line would of course be the line itself , or f(x) = 3x-9

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