Exponential Functions Writing

What is the pattern you see in this table?

• Multiplying by 1/3
• Subtracting 8
• Multiplying by 3
• Subtracting 3

Which of the equations below represent this table?

• y=3⋅(36)^x
• y=36⋅(3)^x
• y=3⋅(⅓)^x
• y=36⋅(⅓)^x

Write the equation that represents the table below:

• y=½(4)^x
• y=2(4)^x
• y=4(2)^x
• y=4(½)^x

In an exponential function, what does the 'a' represent? 

• Output
• Input
• Initial amount (y-intercept)
• Constant ratio (rate of change)

In an exponential function, what does the 'b' represent? 

• Output

• Input

• Initial amount (y-intercept)

• Growth Factor

Identify the y-intercept (initial value) in the function f(x)=13(.27)^x

• (.27)^x
• .27
• 13
• 3.51

x         y
0       6
1       12
2        24
3        48

• y = 6(2)^x 
• y = 6(1/2)^x
• y = 48(2)^x
• y = 48(1/2)^x

x         y
0        1/9
1        1/3
2           1
3           3

• y = 1/9(3)^x 
• y = 1/9(1/3)^x
• y = 3(3)^x
• y = 3(1/3)^x

x       y
0       3
1       6
2     12
3      24

• y = 3(3)^x 
• y = 2(3)^x
• y = 3(2)^x
• y = 2 (1/3)^x

x       y
0       1
1       4
2      16
3      64

• y = 4(2)^x 
• y = 1(4)^x
• y = 1(1/4)^x
• y = 64 (1/4)^x