Name:_______________________________________________________
Notes
6.3 Exponential Functions
exponential function
Complete each table and graph the function. Describe the domain and range for each function.
1. y = x
x
-2
y
2. y = 2x
3. y = 4(2)x
x y
-2
x
-2
-1
-1
-1
0
0
0
1
1
1
2
2
2
Domain:
Range:
Domain:
Range:
4. y = (½)x
x
-2
y
y
Domain:
Range:
5. y = -1(½)x
x y
-2
-1
-1
0
0
1
1
2
2
Domain:
Range:
Domain:
Range:
Graphing y = ab x When b > 1
Graphing y = ab x When 0 < b < 1
Does the table represent a linear function or an exponential function? Explain.
6.
7.
x
0
y
2
1
4
2
3
x
0
6
8
y
4
1
8
2
3
16
32
The graphs of a
function y = abx is a
vertical stretch or
shrink by a factor of
|𝒂| of the graph of the
parent function y = bx.
When a < 0 the graph
is also reflected in the
x-axis.
The y-intercept of the
graph of y = abx is a.
8.
9.
x
y
0
8
1
4
2
2
3
1
x
y
0
1
1
0
2
-1
3
-2
Evaluate each function for the given value of x.
10. y = -2.5(5)x; x = 3
13. y = 2(9)x; x = 0
11. y = 3(0.5)x; x = -2
14. y = 2(9)x; x = ½
12. y = 4(25)x; x= ½
15. y = 1.5(2)x; x = -2