exploration 1: exploring an exponential function · 2018. 3. 9. · sketch the graphs of the...
TRANSCRIPT
18 | P a g e
6.3 pgs. 299-302 EQ: What are some of the characteristics of the graph of an exponential function?
Date:
Questions/Main Points
Work with a partner. Complete each table for the exponential function � �16 2 .xy In each
table, what do you notice about the values of x? What do you notice about the values of y?
Work with a partner. Repeat Exploration 1 for the exponential function 116 .2
x
y § · ¨ ¸© ¹
Exploration 1: Exploring an Exponential Function
Exploration 2: Exploring an Exponential Function
19 | P a g e
6.3 pgs. 299-302 EQ: What are some of the characteristics of the graph of an exponential function?
Date:
Questions/Main Points
Do you think the statement below is true for any exponential function? Justify your answer.
“As the independent variable x changes by a constant amount, the dependent variable y is multiplied by a constant factor.”
Work with a partner. Sketch the graphs of the functions given in Explorations 1 and 2.
How are the graphs similar? How are they different?
Sketch the graphs of each exponential function. Do the graphs have the same characteristics as in exploration 3?
Summary:
Exploration 3: Graphing Exponential Function
4 8 12
16
48
96
4 8 12
4
8
12
2 4 6
18
54
90
2 4 6
10
20
30
2 4 6
8 16
32
-6 -4 -2 -6 -4 -2 -6 -4 -2
20
40
60
50
100 150
4
8
12
16
128
32
64 80
112
16
16
24
40 48
36
72
108
200 250