Exponential Functions Part 2

Front

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

Back

Rate of change

Front

Which function shows an initial amount of $15 and an increase of 35% each year?

Back

y = 15(1.35)^{x}

Front

Back

The graph is an increasing exponential curve starting at (0,5) and rising steeply.

Front

Back

Because the 0.20 is less than one.

Front

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

Back

Y-intercept/Initial value

Front

What is the general form of an exponential function?

Back

y = a(b^x) where 'a' is the initial value and 'b' is the base.

Front

What does it mean if the base 'b' is greater than 1 in an exponential function?

Back

The function represents exponential growth.

Front

What does it mean if the base 'b' is between 0 and 1 in an exponential function?

Back

The function represents exponential decay.

Front

How do you find the y-intercept of an exponential function?

Back

Set x = 0 in the function, y = a(b^0) = a.

Front

What is the effect of changing the value of 'a' in the function y = a(b^x)?

Back

Changing 'a' shifts the graph vertically; it affects the initial value.