Graphing Exponential Functions Flashcard

Front

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

Back

Exponential Decay

Front

What is the y-intercept of the function?

Back

3

Front

Write an equation that models the following situation: Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week. (HINT: Write out the equation on a separate piece of paper and then simplify inside the parenthesis)

Back

y=6(1.14)^(x)

Front

What is the initial value of Daniel’s Print Shop's new printer that was purchased for $35,000 and depreciates at a rate of 5%?

Back

$35,000

Front

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

Back

y=15,000(0.92)^x

Front

Back

Front

Which equation is representative of the graph? Options: y=2(3)^x, y=3(2)^x, y=2(6)^x

Back

y=2(3)^x

Front

In an exponential function, what does the 'a' represent? Options: slope, rate of change, common ratio

Back

y-intercept

Front

In the equation
y = 10(3)^x
What is the y-intercept?

Back

10

Front

Is the graph an example of exponential growth or decay?

Back

Exponential Growth