Exponential Basics

The graph represents the equation below.  

 $y=3\left(\frac{1}{2}\right)^x$  
What is the Domain?

•  $\left(-\infty,\ \infty\right)$  

•  $\left(\infty,\ -\infty\right)$  

•  $\left(0,\ \infty\right)$  

•  $\left(-\infty,\ 0\right)$  

The graph represents the equation below.  

 $y=3\left(\frac{1}{2}\right)^x$  
What is the Range?

•  $\left(-\infty,\ \infty\right)$  

•  $\left(\infty,\ -\infty\right)$  

•  $\left(0,\ \infty\right)$  

•  $\left(-\infty,\ 0\right)$  

The graph represents the equation below.  

 $y=3\left(\frac{1}{2}\right)^x$  
What is the Asymptote?

• x = 0

• y = 0

• x = 3

• y = 3

The graph represents the equation below.  

 $y=3\left(\frac{1}{2}\right)^x$  
As x decreases, y __________.  As x increases, y ___________.

• increases, approaches but never reaches 0.

• decreases, approaches but never reaches 0.
  

• increases, decreases
  

• decreases, increases

The graph represents the equation below.  

 $y=3\left(\frac{1}{2}\right)^x$  
What is the y-intercept?  What is the common ratio?

• y-intercept is (0, 3) and common ratio is 1/2

• y-intercept is (3, 0) and common ratio is 1/2
  

• y-intercept is (0, 1/2) and common ratio is 3
  

• y-intercept is (1/2, 0) and common ratio is 3
  

The graph represents the equation below.  

 $y=3\left(\frac{1}{2}\right)^x$  
Is this Growth or Decay?

• Growth

• Decay
  

The graph represents the equation below.

 $y=2\left(4\right)^x$  
What is the Domain?

•  $\left(-\infty,\ \infty\right)$  

•  $\left(\infty,\ -\infty\right)$  

•  $\left(-\infty,\ 0\right)$  

•  $\left(0,\ \infty\right)$  

The graph represents the equation below.

 $y=2\left(4\right)^x$  
What is the Range?

•  $\left(-\infty,\ \infty\right)$  

•  $\left(\infty,\ -\infty\right)$  

•  $\left(-\infty,\ 0\right)$  

•  $\left(0,\ \infty\right)$  

The graph represents the equation below.

 $y=2\left(4\right)^x$  
What is the Asymptote?

• y = 0

• y = 2

• x = 0

• x = 2

The graph represents the equation below.

 $y=2\left(4\right)^x$  
As x decreases, y ____________ and as x increases, y ____________.

• increases, decreases

• decreases, increases

• approaches but never reaches 0, increases

• approaches but never reaches 0, decreases