Graphing Exponential Functions

This chart is used to represent finding dominant terms in exponentials. How would you fill in the yellow boxes?

• highest powers

• lowest powers

Tags

CCSS.HSF-IF.C.7E

This chart is used to represent finding dominant terms in exponentials. How would you fill in the orange boxes?

• highest powers

• lowest powers

Tags

CCSS.HSF-IF.C.7E

 $f\left(x\right)=\frac{\left(0.3\right)^{2x}-2\left(0.3\right)^x}{\left(0.3\right)^x+4}$ 
What are the dominant terms for when x>>0?

• numerator:  $-2\left(0.3\right)^x$  
  denominator:  $4$  

• numerator: $\left(0.3\right)^{2x}$  
  denominator:  $4$  

• numerator:  $-2\left(0.3\right)^x$  
  denominator:  $\left(0.3\right)^x$  

• numerator:  $\left(0.3\right)^{2x}$  
  denominator:  $\left(0.3\right)^x$  

Tags

CCSS.HSF-IF.C.8B

 $f\left(x\right)=\frac{e^{3x}-4e^{-x}+5}{2e^x+3e^{-x}}$ 
What are the dominant terms for when x>>0?

• numerator:  $e^{3x}$  
  denominator:  $3e^{-x}$  

• numerator: $e^{3x}$  
  denominator:  $2e^x$  

• numerator:  $5$  
  denominator:  $3e^{-x}$  

• numerator:  $-4e^{-x}$ 
  denominator:  $2e^x$  

Tags

CCSS.HSA.APR.D.6

x-intercepts are found where the (numerator/denominator) is equal to zero.

Tags

CCSS.HSF-IF.C.7D

Vertical Asymptotes are found where the (numerator/denominator) is equal to zero.

Tags

CCSS.HSF-IF.C.7D

Fill in the bottom row of the sign chart for  $f\left(x\right)=\frac{\left(e^x-4\right)\left(7e^x-2\right)}{\left(e^{3x}-1\right)}$ 

• + - + +

• + - - +

• + - + -

• - + - +

Tags

CCSS.HSF-IF.C.7D

How do you feel about graphing exponentials?

• Completely Lost

• Can follow along with someone else's work

• Can graph with occasional assistance from others

• Can graph it all on my own

Tags

CCSS.HSF-IF.C.7E