Generating...                               part3_n8

  1. The polynomial equation $\displaystyle x\,\left(x^2-3\right)\,\left(x^2+3\right)=0$ has how many real roots?

    only one

    three only

    five

    two only

    four only

  2. Of the following, which best represents the graph beside?

    Image part3_pick_plot0

    y = 1 − x

    $\displaystyle y=\ln x$

    $\displaystyle y=1-x^2$

    $\displaystyle y=\sqrt{x-1}$

    $\displaystyle y=e^ {- x }$

  3. The graphs of the two equations $\displaystyle y={{29}\over{4}}-5\,x$ and $\displaystyle y=-x^2$ intersect in how many distinct points?

    one

    unknown

    two

    three

    none

  4. If $\displaystyle t=e^{x-1}$ then $x=$

    −2

    $\displaystyle \ln t$

    2

    $\displaystyle \ln t+1$

    $\displaystyle {{t-2}\over{e}}$

  5. $\log_{ 6} \left(\displaystyle 216 \right)$ =

    6

    $\displaystyle {{1}\over{3}}$

    3

    −3

    −6

  6. Which of the following is the domain of $f(x)=\sqrt{x^2 - 36 }$?

    $\left\{x \,\left\vert -6 \leq x \leq 6 , \,\mbox{$x$\ is a real number} \right.\right\}$

    $\left\{x \,\left\vert\, \vert x\vert \ge 6 , \,\mbox{$x$\ is a real number} \right.\right\}$

    $(-\infty,\infty)$

    $(-\infty, 6 ]$

    $[ -6 ,\infty)$


Department of Mathematics
Last modified: 2025-05-04