Exponential Key Attributes

Front

What is the y-intercept for the function: f(x) = 300(1.16)^x?

Back

300

Front

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

Back

GROWTH/DECAY FACTOR

Front

What does this graph represent? (Exponential Growth or Exponential Decay)

Back

Exponential Growth

Front

What is the y-intercept of the function f(x) = 29(5.2)^x?

Back

29

Front

What is the initial value (y-intercept) of the function f(x) = 2(3)^x?

Back

2

Front

What is the general form of an exponential function?

Back

f(x) = a(b)^x, where 'a' is the initial value and 'b' is the growth/decay factor.

Front

What does a growth factor greater than 1 indicate in an exponential function?

Back

The function is increasing.

Front

What does a decay factor between 0 and 1 indicate in an exponential function?

Back

The function is decreasing.

Front

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

Back

Evaluate f(0), which gives you the initial value 'a'.

Front

What is the effect of changing the base 'b' in an exponential function?

Back

It affects the rate of growth or decay.