Domain and Range of Exponential Functions

Front

What is the domain of the exponential function?

Back

All real numbers.

Front

What variable represents the domain in a function?

Back

x.

Front

What is the domain of the function f(x) = 2^x?

Back

x > -∞ (all real numbers).

Front

What is the range of the exponential function f(x) = 2^x?

Back

y > 0.

Front

What is the range of the function f(x) = 3^x?

Back

y > 0.

Front

If f(x) = a^x, where a > 1, what is the domain?

Back

All real numbers.

Front

If f(x) = a^x, where a > 1, what is the range?

Back

y > 0.

Front

What does the term 'exponential growth' refer to?

Back

A situation where a quantity increases at a rate proportional to its current value.

Front

What does the term 'exponential decay' refer to?

Back

A situation where a quantity decreases at a rate proportional to its current value.

Front

For the function f(x) = 5^x, what happens to the value of f(x) as x increases?

Back

f(x) increases rapidly.