Graphing Exponential Functions

What is the criteria for exponential growth?

• $a>0;\ b>1$

• $a>0;\ 0<b<1$

• $a<0$

What is the criteria for exponential decay?

• $a>0;\ b>1$

• $a>0;\ 0<b<1$

• $a<0$

What is the criteria for neither exponential growth nor exponential decay?

• $a>0;\ b>1$

• $a>0;\ 0<b<1$

• $a<0$

Does the function represent growth, decay, or neither?

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

• exponential growth

• exponential decay

• neither

Does the function represent growth, decay, or neither?

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

• exponential growth

• exponential decay

• neither

Does the function represent growth, decay, or neither?

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

• exponential growth

• exponential decay

• neither

Fill in the blank.

The horizontal asymptote for an exponential function is represented by _____.

• a

• b

• h

• k

What is the range of

 $f\left(x\right)=2^{\left(x+5\right)}$  ?

•  $\left(-\infty,\infty\right)$  

•  $\left(0,\infty\right)$  

•  $\left(-\infty,0\right)$  

•  $\left(5,\infty\right)$  

•  $\left(-\infty,5\right)$  

What is the range of

 $f\left(x\right)=\left(\frac{1}{3}\right)^x-2$  ?

•  $\left(-\infty,\infty\right)$  

•  $\left(0,\infty\right)$  

•  $\left(-\infty,0\right)$  

•  $\left(-2,\infty\right)$  

•  $\left(-\infty,-2\right)$  

Fill in the -- (blank).
The y-intercept of

 $f\left(x\right)=2^{\left(x+5\right)}$  is  $\left(0,--\right)$  .