Introduction to Exponential Functions and Graphing

Write the function for the following table:

• f(x)= 1/3x + 27

• f(x)= 3x+27

• f(x)= 243(3)^x

• f(x) = 27(1/3)^x

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

• SLOPE

• RATE OF CHANGE

• INITIAL AMOUNT

• GROWTH OR DECAY FACTOR

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

• Exponential Growth

• Linear

• Exponential Decay

• None of the Abovee

What does 2.5 represent?

• Initial Amount

• y-intercept

• Growth Factor

• Growth Rate

What is the initial amount?

• 6

• 1

• 0

• -6

Write the function for the following table:

• f(x) = 5x + .08

• f(x)= 5x + 2

• f(x) = .08(5)^x

• f(x)= 2(5)^x

Is the table linear, exponential or neither?

• Linear

• Exponential

• Neither

Some banks charge a fee on savings accounts that are left inactive for an extended period of time. The equation y = 5000(0.98)^x represents the value, y, of one account that was left inactive for a period of x years. What is the y-intercept of this equation and what does it represent?

• 0.98, the percent of money in the account initially

• 0.98, the percent of money in the account after x years

• 5000, the amount of money in the account initially

• 5000, the amount of money in the account after x years

Is the pictured graph increasing, decreasing, or neither?

• Increasing

• Decreasing

• Neither

Which function will show exponential behavior?

F(x) = (4.3)^x 

or

G(x) = 4.3x + 9

• F(x)

• G(x)

• both

• neither