Precalculus Semester I Final Exam

$(4,3)$

$(-4,3)$

$(-8,-3)$

$(4,0)$

None of these

$-33+56i$

$16+49i$

$11+28i$

$16+56i$

None of these

one real root

two different real roots

two conjugate imaginary roots

two positive roots

None of these

$(0,-48)$

$(-5,2)$

$(-5,-73)$

$(5,2)$

None of these

$\ell_1$ and $\ell_2$

$\ell_1$ and $\ell_3$

$\ell_1$ and $\ell_4$

$\ell_2$ and $\ell_3$

None of these

$x+9$

$x-1$

$x+3$

$x-6$

None of these

cubic

quartic

quintic

quadratic

None of these is possible

$x=\frac{-b}{2a}$

$x=b^{2}-4ac$

$x=\frac{-b\pm\sqrt{b^{2}-4ac}}{2a}$

$x=0$

None of these

$-5$

$3$

$-7$

$2$

None of these

$x<1$

$x<\frac{9}{5}$ or $x<-1$

$-1<x<\frac{9}{5}$

$\varnothing$

None of these

$y<x^{2}+9$
$y<x+3$

$y<x^{2}-3$
$y<2x+3$

$y>x^{2}-9$
$y<x+3$

$y<x^{2}-3$
$y<x+3$

None of these

Domain$=\{x|x\ne3\}$

Domain$=\{\real\}$

Range$=\{y|y>3\}$

Range$=\{y|y>-3\}$

None of these

$\frac{1}{9}$

64

1

$\frac{1}{64}$

None of these

is reflected about the line $y=x$.

is reflected about the $x$-axis.

is reflected about the $y$-axis.

is unchanged.

None of these

graph symmetric about the origin

$f(x)\ne0$

graph symmetric about $y=x$

one-to-one

None of these

${-15x}^{3}$

${45x}^{3}$

${45x}^{5}$

${-15x}^{5}$

None of these

$\frac{4}{9}$

$1$

$\frac{1}{3}$

$\frac{4}{3}$

None of these

8

9

27

2

None of these

$log_{3}40$

$log_{9}\frac{8}{125}$

$log_3\frac{8}{15}$

$log_{3}\frac{8}{125}$

None of these

1

2

3

4

None of these

$\cos 232\degree$

$\cos (-38)\degree$

$-\cos 38\degree$

$-\cos 52\degree$

None of these

$\sin \theta=\cos (90\degree+\theta)$

$\cot (-\theta)=\cot \theta$

$\tan^{2} \theta +\cot^{2} \theta=1$

$\csc^{2}\theta+\sec^{2}\theta=1$

None of these

${\sin^{2}\theta-\cos^{2}\theta}$

$1$

$\tan^{2}\theta$

$-1$

None of these