Exponential Functions Multiple Representations

Identify each function as representing exponential growth or decay.
f(x) = 5(1.09)^x

• growth
• decay

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

• SLOPE
• RATE OF CHANGE
• INITIAL AMOUNT
• GROWTH OR DECAY FACTOR

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

• SLOPE
• RATE OF CHANGE
• INITIAL AMOUNT
• GROWTH OR DECAY  FACTOR

What type of function is y = 7(5/4)^x?

• Exponential Growth
• Exponential Decay
• Linear
• None of the above

Is this exponential growth or decay?

• Growth
• Decay
• Linear

Is this exponential growth or decay?

• Growth
• Decay

Which function will show exponential behavior?

F(x) = (4.3)^x 

or

G(x) = 4.3x + 9

• F(x)
• G(x)
• both
• neither

Describe the function:
y = 1000(1 - 0.87)^x

• growth by 87%
• decay by 87%
• growth by 13%
• decay by 13%

x       y
0       1
1       4
2      16
3      64

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

x         y
0       32
1       16
2        8
3        4

• y = 32(1/2)^x 
• y = 32(2)^x
• y = 4(2)^x
• y = 4 (1/2)^x