Rich – AAT(H)
Name: _________________________________
5.1 Graphing Exponential Functions Notes
Date: ____________________ Period: _______
Essential Question: How is this similar or different from what I have done before?
Learning Targets: Students will be able to…
 2.D.12: graph an exponential function and determine the y intercept, domain, range, and any asymptotes.
Use your calculator, table, and zoom-in feature to graph the following equations. Try to draw
conclusions about the behaviors of the graphs based on the numbers used (Think: transformations).
Identify the y-intercept, domain, range, and asymptote of each function.
1. f (x )  10x
*parent function, base 10
2. f (x )  e x
*parent function, base e
D:__________________ R: _________________
D:__________________ R: _________________
y-int: __________ Asymptote: ______________
y-int: __________ Asymptote: ______________
3. f (x )  3
1
4. f (x )    *fraction = ________ exponent
2
D:__________________ R: _________________
D:__________________ R: _________________
y-int: __________ Asymptote: ______________
y-int: __________ Asymptote: ______________
x
x
Transformation: __________________________
 1 
5. f (x )  

 27 
x
6. f (x )  e x
D:__________________ R: _________________
D:__________________ R: _________________
y-int: __________ Asymptote: ______________
y-int: __________ Asymptote: ______________
Transformation: __________________________
1
7. f (x )    
2
x
8. f (x )  e x  1
D:__________________ R: _________________
D:__________________ R: _________________
y-int: __________ Asymptote: ______________
y-int: __________ Asymptote: ______________
Transformation: __________________________
Transformation: __________________________
9. f (x )  e  3
1
10. f (x)     3
4
D:__________________ R: _________________
D:__________________ R: _________________
y-int: __________ Asymptote: ______________
y-int: __________ Asymptote: ______________
x
x
11. f (x )  e x 1
12. f (x)  3x 4
D:__________________ R: _________________
D:__________________ R: _________________
y-int: __________ Asymptote: ______________
y-int: __________ Asymptote: ______________
Transformation: __________________________
Rules: f ( x)  (a) x b  c
a
b 
c
Asymptote
y-int:
Domain:
Range:
Try a few without your calculator. Finish for HW, along with pg. 392 #7 – 10 all, 11 – 21 odd, 33, 35
13. f (x )  (e )x 3  2
14. f (x )  (3)x 4  3
D:__________________ R: _________________
D:__________________ R: _________________
y-int: __________ Asymptote: ______________
y-int: __________ Asymptote: ______________
15. f (x )  e x 4
16. f (x )  5  (3)x  4
D:__________________ R: _________________
D:__________________ R: _________________
y-int: __________ Asymptote: ______________
y-int: __________ Asymptote: ______________
1
17. f (x )   
e 
x 3
1
1
18. f (x )   
2
x 2
D:__________________ R: _________________
D:__________________ R: _________________
y-int: __________ Asymptote: ______________
y-int: __________ Asymptote: ______________
19. f (x )  (e )x 3  4
20. f (x )  e x 1  2
D:__________________ R: _________________
D:__________________ R: _________________
y-int: __________ Asymptote: ______________
y-int: __________ Asymptote: ______________
Textbook HW: pg. 392 #7 – 10 all, 11 – 21 odd, 33, 35