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

    Image part3_pick_plot0

    y = 1 − x

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

    $\displaystyle y=\ln x$

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

    $\displaystyle y=1-x^2$

  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

    two

    three

    one

    none

  3. $\log_{ 7} \left(\displaystyle 49 \right)$ =

    −7

    $\displaystyle {{1}\over{2}}$

    7

    2

    −2

  4. 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$\ is a real number} \right.\right\}$

    $(-\infty,\infty)$

    $[ -6 ,\infty)$

    $(-\infty, 6 ]$

  5. The polynomial equation $\displaystyle x\,\left(x^2-4\right)\,\left(x^2-3\right)=0$ has how many real roots?

    three only

    only one

    five

    two only

    four only

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

    $\displaystyle \ln t+4$

    $\displaystyle \ln t$

    8

    −8

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


Department of Mathematics
Last modified: 2026-08-02