Generating...                               thisquiz_n13

Quiz 2

Mathematics Department
Tennessee Technological University


Date: November 18, 2017


  1. Let $ \displaystyle y=-{{5\,x+19}\over{x^2+6\,x-7}}$ be a quotient function. Find the two reciprocal function $ \frac{a_1}{x + b_1}$ and $ \frac{a_2}{x + b_2}$ so that the function can be expressed as $ y = \frac{a_1}{x + b_1} + \frac{a_2}{x + b_2}$

    $ \displaystyle y=-{{3}\over{x+1}}-{{2}\over{x-7}}$

    $ \displaystyle y={{2}\over{x+7}}-{{3}\over{x-1}}$

    $ \displaystyle y=-{{2}\over{x+7}}-{{3}\over{x-1}}$

    $ \displaystyle y={{2}\over{x-7}}-{{3}\over{x+1}}$

  2. Sketch the graph of $ \displaystyle {{1-2\,x}\over{4\,x-7}}$.

    \includegraphics{thisquiz_pick_plot0.ps}

    \includegraphics{thisquiz_pick_plot1.ps}

    \includegraphics{thisquiz_pick_plot2.ps}

    \includegraphics{thisquiz_pick_plot3.ps}

  3. Find the vertical asymptotes for $ \displaystyle {{-3\,x-2}\over{x^2+3\,x-10}}$.

    [ x = −2 ,  x = 5 ]

    [ x = 2 ,  x = −5 ]

    [ x = 3 ,  x = −10 ]

    [ x = −3 ,  x = 10 ]

  4. Express the quotient function $ \displaystyle y={{x+6}\over{x-1}}$ in the form of $ \displaystyle y={{a}\over{x-1}}+b$ . Find the values $ a$ and $ b$.

    $ \displaystyle y={{7}\over{x-1}}+1$

    $ \displaystyle y={{7}\over{x-1}}-1$

    $ \displaystyle y={{1}\over{x-1}}+7$

    $ \displaystyle y={{1}\over{x-1}}-7$





Department of Mathematics
Last modified: 2017-11-18