Exponential Functions Review

Equations of Exponential Functions

Equations of Exponential Functions

Multiple Choice

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

• Exponential Growth

• Linear

• Exponential Decay

• None of the Abovee

Multiple Choice

Is the pictured graph growth, decay, or linear or none?  

• Growth
• Decay
• Linear
• None

Multiple Choice

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

• SLOPE
• RATE OF CHANGE
• Y-INTERCEPT
• COMMON RATIO

Multiple Choice

Identify the y-intercept (initial value) of the function f(x)=2(4)^x.

• 2
• 4
• (2)^x
• 8

Multiple Choice

Which the following graphs shows an exponential decay equation?

Multiple Choice

Is this exponential growth or decay?

• Growth

• Decay

Multiple Choice

Is the graph linear, exponential or neither?

• Linear
• Exponential
• Neither

Multiple Choice

Is the pictured graph growth, decay, or linear or none?  

• Growth
• Decay
• Linear
• None

Multiple Choice

Is the pictured graph growth, decay, or linear or none?  

• Exponential Growth
• Exponential Decay
• Linear
• None

Multiple Choice

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

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

Multiple Choice

y= 16(0.75)^x

• Growth

• Decay

Multiple Choice

y= 4.5(1.15)^x

• Growth

• Decay

Multiple Choice

y=8(3)^x

• Growth

• Decay

Multiple Choice

Identify the y-intercept (initial value) of the function f(x)=2(4)^x.

• 2
• 4
• (2)^x
• 8

Multiple Choice

Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.

• y=5000(1 - .30)^x
• y=30(1- 5000)^x
• y=5000(1 + .30)^x
• y=5000x^x

Multiple Choice

The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the exponential equation?

• y=8(1+ 15,000)^x
• y=15,000(1+ .08)^x
• y=15,000(1 - .08)^x
• y=15,000(0.08)^x

Multiple Choice

Which of the following functions shows an initial amount of $15 and an increase of 35% each year?

• y = 15(35)^x
• y = 15(1 +.35)^x
• y = 15(1- .35)^x
• y = 35(1.15)^x

Multiple Choice

What is 4% written as a decimal?

• .04
• .4
• 4
• .004

Multiple Choice

Kai's brother collects fuzzy insects called tribetts. The tribetts have a starting  population of 10,000 and decreases by 30% each year. Write an equation to model this situation.
y = a(1 + r)^t or y = a(1 + r)^t 

• y = 10,000(1 - .3)^t
• y = 10,000(1 + .3)^t
• y = 10,000(1 - .03)^t
• y = 10,000(1 + .03)^t

Multiple Choice

A new savings account is opened with $400 and gains 3% every year. What is the exponential function?

• f(x)=400(.97)^x
• f(x)=400(1-0.03)^x
• f(x)=400(1.03)^x
• f(x)=400(0.03)^x

Multiple Choice

Is the function an example of exponential growth or decay?

$$f\left(x\right)=\frac{1}{2}\left(6\right)^x$$  

• Exponential Growth

• Exponential Decay

Multiple Choice

Is the function an example of exponential growth or decay?

$$f\left(x\right)=7\left(\frac{2}{3}\right)^x$$  

• Exponential Growth

• Exponential Decay

Multiple Choice

Pick the equation that is exponential decay

• $$f\left(x\right)=200\left(0.88\right)^x$$

• $$g\left(x\right)=5\left(1.88\right)^x$$
  

Multiple Choice

Pick the equation that is exponential growth

• f(x )=2(0.5)^x

• g(x) = 0.5(2)^x

Multiple Choice

What is the y-intercept represented by the equation e(x) = 10(5)^x

• (0,5)

• (5,0)

• (10,0)

• (0,10)

Multiple Choice

Which function is exponential?

• f(x)
• h(x)
• g(x)

Multiple Choice

If the price of gas is $2.35 this week and is said to increase 2% every week, what will the price be in 7 weeks?

• $2.40

• $2.04

• $2.70

• $2.30

Multiple Choice

A boat is bought for $11,090. The value of the boat depreciates (decreases) 5% every year. What will the value of the boat be in 10 years?

• $10,535.50

• $18,064.44

• $105,355

• $6,639.99

Multiple Choice

Which graph is representative of the equation?

Multiple Choice

Increasing or Decreasing?

• A

  Increasing

• B

  Decreasing

Multiple Choice

Classify the model as Exponential GROWTH or DECAY.
A=1200(.85)⁶

• Growth
• Decay

Multiple Choice

Classify the model as Exponential GROWTH or DECAY.
A=10(1.01)³

• Growth
• Decay