6.4 Writing Exponential Equations

Write the exponential equation that represents the given graph.

Which equation is representative of the graph?

• y=2(3)^x

• y=3(2)^x

• y=2(6)^x

Which equation is representative of the graph?

• y=4(1/2)^x

• y=1/2(4)^x

• y=4(2)^x

• y=8(1/2)^x

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

• SLOPE

• RATE OF CHANGE

• Y-INTERCEPT

• COMMON RATIO

Identify the common ratio (multiplier) of the function f(x)=2(4)^x.

• 2

• 4

• (2)^x

• 8

Write the exponential equation that represents the given table.

What is the starting point?

• 0

• 7

• 2

• 6

Write the exponential equation that represents the given table.

What is the equation for the table?

• y = 4(2)^x
• y = 2(4)^x
• y = 2(8)^x
• y = -2(4)^x

Which of the following functions represents an initial amount of $20 and an increase of 40% each year?

• y= 20(40)^x

• y= 20(0.40)^x

• y= 20(1+0.40)^x

• y= 40(1+0.20)^x