Exponential Graphs & Key Features, A.9D

Front

Classify the model as Exponential GROWTH or DECAY: A=1200(0.85)^6

Back

Decay

Front

What does the b-value of an exponential function indicate about its graph?

Back

If the graph is increasing or decreasing.

Front

What is 'a', the starting term, for the function: f(x) = 300(1.16)^x?

Back

300

Front

What is the asymptote of y = 2^x?

Back

y = 0

Front

Find the y-intercept of y=3^x.

Back

(0,1)

Front

What is an exponential function?

Back

A function of the form f(x) = a(b^x), where a is a constant and b is a positive real number.

Front

What is the general shape of an exponential growth graph?

Back

It rises steeply to the right and approaches the x-axis to the left.

Front

What is the general shape of an exponential decay graph?

Back

It falls steeply to the right and approaches the x-axis to the left.

Front

What does the y-intercept of an exponential function represent?

Back

The value of the function when x=0.

Front

How do you determine if an exponential function is increasing or decreasing?

Back

By examining the b-value: if b > 1, it's increasing; if 0 < b < 1, it's decreasing.