Exponential & Logarithmic Equations: Make-Up

What is the domain of  $f\left(x\right)\ =\ 3^x+2$  

•  $\left(-\infty,\ \infty\right)$  

•  $\left(0,\ \infty\right)$  

•  $\left(2,\ \infty\right)$  

•  $\left[2,\ \infty\right)$  

What is the range of  $f\left(x\right)\ =\ 3^x+2$  

•  $\left(-\infty,\ \infty\right)$  

•  $\left(0,\ \infty\right)$  

•  $\left(2,\ \infty\right)$  

•  $\left[2,\ \infty\right)$  

What is the horizontal asymptote of  $f\left(x\right)\ =\ 3^x+2$  

•  $x\ =\ 2$  

•  $y\ =\ 2$  

•  $y\ =\ 0$  

• there is no horizontal asymptote

Tags

CCSS.HSF-IF.C.7E

What is the vertictal asymptote of  $f\left(x\right)\ =\ 3^x+2$  

•  $x\ =\ 2$  

•  $y\ =\ 2$  

•  $x\ =\ 0$  

• there is no vertical asymptote

Tags

CCSS.HSF-IF.C.7E

What are the x-intercepts of  $f\left(x\right)\ =\ 3^x+2$  

•  $2$  

•  $-2$  

•  $3$  

• there are no x-intercepts

Tags

CCSS.HSF-IF.C.7E

What is the y-intercept of  $f\left(x\right)\ =\ 3^x+2$  

•  $2$  

•  $-2$  

•  $3$  

• there is no y-intercept

Tags

CCSS.HSF-IF.C.7E

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

• Undefined

• -4

• 11 

• 2.11

Tags

CCSS.HSF-IF.C.8B

 $f\left(x\right)\ =\ \log_{ }\left(x\ +\ 2\right)$  

What is the domain?

•  $\left(-\infty,\ \infty\right)$  

•  $\left(-2,\ \infty\right)$  

•  $\left(2,\ \infty\right)$  

•  $\left[-2,\ \infty\right)$  

 $f\left(x\right)\ =\ \log_{ }\left(x\ +\ 2\right)$  

What is the range?

•  $\left(-\infty,\ \infty\right)$  

•  $\left(-2,\ \infty\right)$  

•  $\left(2,\ \infty\right)$  

•  $\left[-2,\ \infty\right)$  

 $f\left(x\right)\ =\ \log_{ }\left(x\ +\ 2\right)$  

What is the horizontal asymptote?

• x = 2

• y = 2

• x = -2

• there is no horizontal asymptote

Tags

CCSS.HSF-IF.C.7E