AS Exponential Functions - Basics

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

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

If the b is less than zero, the equation is exponential ​ (c)  

If the b is greater than zero, the equation is exponential ​ (d)  

• Slope

• Rate of change

• Multiplier/Growth or Decay Factor
• Y-intercept/initial value (starting value)
• decay
• growth

What type of function is f(x)=2(1/7)^x ? (a)  

How do you know? ​ (b)  

• Exponential Growth
• Linear
• Exponential Decay
• the b is less than 1
• the b is greater than 1
• the a is positive

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

How do you know? ​ (b)  

• Exponential Growth
• Exponential Decay
• Linear
• the b is greater than 1
• the b is less than 1
• the a is positive

Given the function f(x)=13(0.27)^x

Identify the y-intercept/initial value ​ (a)  

Identify the growth or decay factor ​ (b)  

Is this a growth or decay function? ​ (c)  

• 13
• 0.27
• decay
• growth

Given the function f(x)=2(4)^x.

Identify the y-intercept (initial value) ​ (a)  

Identify the growth or decay factor ​ (b)  

Is this a growth or decay function? ​ (c)  

• 2
• 4
• (2)^x
• 8
• growth
• decay

Is the following function and example of decay or growth?

f(x)=2(0.85)^x

• Exponential Decay

• Exponential Growth

Is the following function an example of decay or growth?

f(x) = 2(1.25)^x

• Exponential Growth

• Exponential Decay

Which of the following functions shows an initial amount of $15 and something being doubled year?

• y = 15(2)^x

• y = 0.05(15)^x

• y = 15(0.05)^x

• y = 2(15)^x

The value of a car is $15,000 and depreciates by half every year What is the exponential equation?

• y=15000(0.05)^x

• y=15,000(2)^x

• y=2(15000)^x

• y=0.05(15000)^x

The number of mosquitoes at the beginning of the summer was 4,000. The population of mosquitoes is expected to triple each year.

What is the initial amount? ​ (a)   What is the growth/decay rate? ​ (b)  

Is this exponential growth or decay? ​ (c)  

How many mosquitoes will there be after 4 months? ​ (d)  

• $4000
• 3
• growth
• 324,000
• 48,000