3.1B Graphing Exponential and Logarithmic Functions Filled In.notebook December 04, 2018

Jun 3­2:48 PM

3.1B Graphing Exponentials and Logarithms 

6) I can graph exponential functions using transformations.

7) I can graph logarithmic functions using transformations.

Dec 4­11:15 AM

Oct 26­7:05 AM

Graph f(x)=2x 

x f(x)=2x

­3­2­10123

Vocab: Asymptote

Oct 26­7:07 AM

f(x)=(1/2)xGraph                  .

f(x)=(1/2)X

x f(x)=(1/2)x

­3­2­10123

f(x)=(1/2)X

3.1B Graphing Exponential and Logarithmic Functions Filled In.notebook December 04, 2018

Nov 29­11:50 PM

are inverses

Logarithms & Exponentials

&

Notice the bases are the same!

Nov 29­11:40 PM

Using transformations we will focus on these key features:

1) Reference Point (0,1)

2) Reference Point (1, base)

3) y­intercept (set x=0 and solve for y)

4) Horizontal Asymptote: y = 0

Dec 15­7:42 AM

Graph each function and state two points and asymptote for each.

Dec 15­8:08 AM

Graph each function and state two points and asymptote for each.

3.1B Graphing Exponential and Logarithmic Functions Filled In.notebook December 04, 2018

Oct 26­7:12 AM

Graph each function and state two points and asymptote for each.

Oct 26­7:18 AM

Graph each function and state two points and asymptote for each.

Dec 8­11:22 AM

Graphing Transformed Logarithmic FunctionsWhen graphing a transformed function, it is helpful to consider the following features of the graph: the vertical asymptote, and two reference points (1,0) and (b,1). 

1) Move asymptote from x = 0

2) Move ref. pt. from (1,0)

3) Move ref. pt. from (b,1)

4) Draw graph

Jan 4­5:23 PM

Graph each function and state two points and asymptote for each.

3.1B Graphing Exponential and Logarithmic Functions Filled In.notebook December 04, 2018

Nov 12­2:01 PM

Graph each function and state two points and asymptote for each.

Jan 4­5:23 PM

Graph each function and state two points and asymptote for each.

Jan 4­5:27 PM

Graph each function and state two points and asymptote for each.

Jan 4­5:27 PM

Graph each function and state two points and asymptote for each.