Generating...                               part3_n14

  1. Which of the following is the domain of $f(x)=\sqrt{x^2 - 9 }$?

    $\left\{x \,\left\vert\, \vert x\vert \ge 3 , \,\mbox{$x$\ is a real number} \right.\right\}$

    $(-\infty, 3 ]$

    $\left\{x \,\left\vert -3 \leq x \leq 3 , \,\mbox{$x$\ is a real number} \right.\right\}$

    $[ -3 ,\infty)$

    $(-\infty,\infty)$

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

    Image part3_pick_plot0

    y = 1 − x

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

    $\displaystyle y=\ln x$

    $\displaystyle y=1-x^2$

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

  3. If $\displaystyle t=e^{x+6}$ then $x=$

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

    12

    $\displaystyle \ln t-6$

    $\displaystyle \ln t$

    −12

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

    unknown

    three

    none

    two

    one

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

    −3

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

    3

    −5

    5

  6. The polynomial equation $\displaystyle x\,\left(x^2-4\right)\,\left(x^2+2\right)=0$ has how many real roots?

    five

    three only

    only one

    four only

    two only


Department of Mathematics
Last modified: 2026-03-24