Question

Consider y = 1 + 3x– 4x3.     a. State the domain.   ____________        b. State the range.   ____________        c....

Consider y = 1 + 3x– 4x3.

    a. State the domain.   ____________   

    b. State the range.   ____________   

    c. Find the y-intercept.   ____________   

    d. Find the x-intercept(s).   ____________   

    e. State the equation of the horizontal asymptote, if any.   ____________  

    f. State the equation of the slant asymptote, if any.   ____________   

    g. State the equation of the vertical asymptote, if any.   ____________  

    h. State the interval(s) on which the function is decreasing.   ____________  

    i. State the interval(s) on which the function is increasing.   ____________   

    j. Find dy/dx.   ____________

    k. Find the local maximum value(s).   ____________   

    l. Find the local minimum value(s).   ____________   

    m. Find d2y/dx2.   ____________   

    n. Find the inflection point(s).   ____________   

Math   Calculus   
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