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college algebra

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given the function f(x)= x^3+3x find the rate of chnge between the two values x:1 to 2

find the equation of a secant line containing the given points (1,f(1) and (2,f(2))

  • college algebra - ,

    f(1) = 4
    f(2) = 14
    rate of change = (14-4)/(2-1) = 10

    the slope of the secant is 10, (see above)

    equation is y = 10x + b
    but (1,4) lies on it, so
    4 = 10(1) + b
    b = -6

    secant equation: y = 10x - 6

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