Generating...                               part3_n10

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

    Image part3_pick_plot0

    $\displaystyle y=1-x^2$

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

    $\displaystyle y=\ln x$

    y = 1 − x

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

  2. $\log_{ 6} \left(\displaystyle 36 \right)$ =

    −6

    −2

    2

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

    6

  3. The polynomial equation $\displaystyle x\,\left(x^2+1\right)\,\left(x^2+4\right)=0$ has how many real roots?

    two only

    three only

    four only

    five

    only one

  4. Which of the following is the domain of $f(x)=\sqrt{x^2 - 100 }$?

    $\left\{x \,\left\vert -10 \leq x \leq 10 , \,\mbox{$x$\ is a real number} \right.\right\}$

    $(-\infty,\infty)$

    $\left\{x \,\left\vert\, \vert x\vert \ge 10 , \,\mbox{$x$\ is a real number} \right.\right\}$

    $[ -10 ,\infty)$

    $(-\infty, 10 ]$

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

    $\displaystyle \ln t+5$

    $\displaystyle \ln t$

    10

    −10

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

  6. The graphs of the two equations y = 2 − 4x and $\displaystyle y=-4\,x^2$ intersect in how many distinct points?

    unknown

    two

    three

    one

    none


Department of Mathematics
Last modified: 2025-06-19