Exponential Functions

Front

What does the 'a' represent in an exponential function?

Back

Y-intercept

Front

Is the graph of an exponential function linear, exponential, or neither?

Back

Exponential

Front

What does the 'b' represent in an exponential function?

Back

Multiplier

Front

If a population of fish starts at 8,000 and decreases by 6% per year, what is the population after 10 years?

Back

4309

Front

Is the table of values for an exponential function linear, exponential, or neither?

Back

Exponential

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 base.

Front

How does the base 'b' affect the growth of an exponential function?

Back

If b > 1, the function grows; if 0 < b < 1, the function decays.

Front

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

Back

Population growth, radioactive decay, and compound interest.

Front

What is the difference between exponential growth and exponential decay?

Back

Exponential growth increases over time, while exponential decay decreases over time.

Front

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

Back

3