Generating...                               part3_n4

  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

    two only

    four only

    five

  2. The graphs of the two equations $\displaystyle y=x-{{21}\over{20}}$ and $\displaystyle y=5\,x^2$ intersect in how many distinct points?

    one

    two

    none

    unknown

    three

  3. Which of the following is the domain of $f(x)=\sqrt{x^2 - 4 }$?

    $[ -2 ,\infty)$

    $\left\{x \,\left\vert\, \vert x\vert \ge 2 , \,\mbox{$x$\ is a real number} \right.\right\}$

    $\left\{x \,\left\vert -2 \leq x \leq 2 , \,\mbox{$x$\ is a real number} \right.\right\}$

    $(-\infty, 2 ]$

    $(-\infty,\infty)$

  4. $\log_{ 5} \left(\displaystyle {{1}\over{125}} \right)$ =

    3

    −3

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

    −5

    5

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

    −8

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

    8

    $\displaystyle \ln t$

    $\displaystyle \ln t+4$

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

    Image part3_pick_plot0

    $\displaystyle y=1-x^2$

    $\displaystyle y=\ln x$

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

    y = 1 − x

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


Department of Mathematics
Last modified: 2025-10-31