6.13 Notes – Writing Exponential equations
Objectives:
1) Calculate two larger and two smaller values in a given table of an exponential function.
2) Write the equation of an exponential function given a table.
Exponential Function: y = a ( b) or y = a (1 ± r )
x
x
Calculate two larger and two smaller values of x in the given table of an exponential function.
1.)
2.)
x
y
3
1
5
8
1
What is the change in x?
What is the change in y?
x
y
–3
1
9
1
81
–1
3.) f(1) = 50
f(3) = 20
Write the exponential equation given the following data.
4.)
x
y
0
3
1
6
2
12
3
24
4
48
5
96
Plug in what you know!
x
y = a ( b)
5.)
x
1
y
100
2
80
3
64
4
51.2
5
40.96
6.)
x
–4
y
768
–3
192
–2
48
–1
12
x
–2
y
4
0
16
2
64
4
256
6
1024
x
y
–4
1
3
–2
1
0
3
2
9
4
27
7.)
8.)