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Math Help - Please help! Some calculus problems...

  1. #1
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    Exclamation Please help! Some calculus problems...

    Someone please help me! Even my tutor didn't understand how to do this...

    1. Tell how the graph of y=5+(2/x-4) can be obtained from the graph of y= 1/4 by using transformation.

    2. Solve the inequality (x-4)^3/x(x+3) is less than or equal to zero.

    3. Identify all asymptotes and intercept of the funtion f(x)= x+6/ x^2+x-12. Sketch a graph of g(x).

    4. Find all zeros of f(x)=x^2+7x-22 and write a linear factorization of f(x).

    5. Graph the function y=-3x^4+2x^3+6X^2-5X+1. Choose a viewing table that shows 3 local extremum values and all the x-intercepts. Show window dimensions.

    6. Find all the real zeros of the function in problem 5. Five answers to the nearest hundreth.

    7. What us the remainder when x^32-5x^15+12 is divided by x+1?

    8. Use the rational zero test to list all the possible candidates for rational zeros of the polynomial f(x)=2x^3+2x^2-5x-7

    9. Write 2+5i/8-6i in standard form.

    10. Which one is a polynomial with real coefficients that has -2 and 2i as zeros?

    a. (x+2)(x-2-i)
    b. (x-2)(x+2+i)
    c.(x+2)(x^2-4x+5)
    d. (x-2) (x^2-4x-5)
    e. (x+2)(x^2+5)


    Please someone help me with these problems. I'm totally lost and I don't even know how to start D:
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  2. #2
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    Quote Originally Posted by bleach_bankai View Post
    Someone please help me! Even my tutor didn't understand how to do this...

    1. Tell how the graph of y=5+(2/x-4) can be obtained from the graph of y= 1/4 by using transformation.

    ...
    I'll do the first problem. With the other questions you should tell us what difficulties you have to do them.

    1. I assume that the basic function reads: y = \dfrac1x

    Shifting 4 units to the right will yield: y = \dfrac1{x-4}

    Dilation by the factor 2: y=\dfrac2{x-4}

    Translation by 5 units upward: y = \dfrac2{x-4} + 5
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