12.10.24 | Exponential Domain and Range

Front

What is the domain of an exponential function?

Back

The domain of an exponential function is all real numbers.

Front

What is the range of an exponential function?

Back

The range of an exponential function is all real numbers greater than zero (0 < y < ∞).

Front

Define 'domain' in the context of functions.

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

Front

Define 'range' in the context of functions.

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

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

Back

All real numbers.

Front

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

Back

All real numbers greater than zero (0 < y < ∞).

Front

If a function has a domain of -6 ≤ x ≤ 1, what does this mean?

Back

This means that the function is defined for all x-values from -6 to 1, inclusive.

Front

What does the notation 'y < 0' indicate about the range?

Back

It indicates that the output values (y-values) of the function are all negative.

Front

How do you determine the domain of a function from its graph?

Back

The domain can be determined by identifying the x-values for which the graph exists.

Front

How do you determine the range of a function from its graph?

Back

The range can be determined by identifying the y-values that the graph reaches.