Generating...                               part3_n26

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

    $(-\infty, 3 ]$

    $(-\infty,\infty)$

    $[ -3 ,\infty)$

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

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

  2. The graphs of the two equations $\displaystyle y=-5\,x-{{49}\over{12}}$ and $\displaystyle y=3\,x^2$ intersect in how many distinct points?

    unknown

    none

    two

    three

    one

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

    Image part3_pick_plot0

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

    $\displaystyle y=1-x^2$

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

    y = 1 − x

    $\displaystyle y=\ln x$

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

    −3

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

    −5

    5

    3

  5. If $\displaystyle t=e^{x-3}$ then $x=$

    −6

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

    6

    $\displaystyle \ln t$

    $\displaystyle \ln t+3$

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

    only one

    three only

    four only

    five

    two only


Department of Mathematics
Last modified: 2026-10-30