EXPONENTIAL GRAPHS

Front

What type of equation is y = 2^x?

Back

Exponential

Front

What does the graph of an exponential function with a base greater than 1 represent?

Back

Exponential Growth

Tags

CCSS.HSF-IF.C.7E

Front

What does the graph of an exponential function with a base between 0 and 1 represent?

Back

Exponential Decay

Tags

CCSS.HSF-IF.C.7E

Front

What is the horizontal asymptote of the function y = 2^x?

Back

y = 0

Tags

CCSS.HSF-IF.C.7D

Front

As x approaches infinity in an exponential growth function, what happens to f(x)?

Back

f(x) approaches infinity (∞).

Tags

CCSS.HSF-IF.C.7E

Front

What is the general form of an exponential function?

Back

f(x) = a * b^x, where a is a constant and b is the base.

Front

What is the base of an exponential function?

Back

The base is the constant that is raised to the power of x.

Tags

CCSS.HSF-IF.C.7E

Front

What is the difference between linear and exponential growth?

Back

Linear growth increases by a constant amount, while exponential growth increases by a constant percentage.

Front

What is an example of a real-world situation that can be modeled by an exponential function?

Back

Population growth, radioactive decay, and compound interest.

Front

What is the y-intercept of the function y = 2^x?

Back

The y-intercept is (0, 1).

Tags

CCSS.HSF-IF.C.7E