Precal Final review part 1

This is the equation of the parent parabola function shifted down 3 units.

• $f\left(x\right)=x^2+3$

• $f\left(x\right)=\left(x+3\right)^2$

• $f\left(x\right)=\left(x-3\right)^2$

• $f\left(x\right)=x^2-3$

This is the equation of the absolute value function shifted to the right 5 units.

• $y=\left|x\right|+5$

• $y=\left|x+5\right|$

• $y=\left|x-5\right|$

• $y=\left|x\right|-5$

What are the vertical asymptotes of

 $f\left(x\right)=\frac{5x^2}{x^2-25}$  

•  $x=5$  

•  $x=-5$  

•  $x=5,-5$  

•  $x=0$  

What is the domain of

 $f\left(x\right)=\frac{1}{x}$  

•  $x\ge0$  

•  $x\ne0$  

•  $x\le0$  

•  $x=0$  

Write the log below in exponential form

 $\log_525=2$  

•  $5^2=25$  

•  $25^2=5$  

•  $2^5=25$  

What is the correct log property for:

 $\log_bmn$  

•  $\log_bm+n$  

•  $\log_bm+\log_bn$  

•  $\log_bm-n$  

•  $\log_bm-\log_bn$  

What is the correct log property for:

 $\log_b\left(\frac{m}{n}\right)$  

•  $\log_bm+n$  

•  $\log_bm+\log_bn$  

•  $\log_bm-n$  

•  $\log_bm-\log_bn$  

 $\ln e^x$  

• 1

• e

• x

• 0

What is the horizontal asymptote of the function below:

 $f\left(x\right)=\left(\frac{4x+1}{x-2}\right)$  

•  $y=2$  

•  $y=0$  

•  $No\ Horizontal\ Asymptote$  

•  $y=4$  

Evaluate the logarithm below:

 $\log_381$  

• 27

• 4

• 9

• 3