A.9A - Exponential Domain and Range

Front

What is the domain of an exponential function?

Back

The domain of an exponential function is all real numbers, represented as (-∞, ∞).

Front

What is the range of an exponential function?

Back

The range of an exponential function is (0, ∞) for functions of the form f(x) = a^x where a > 0.

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

The domain is all real numbers, (-∞, ∞).

Front

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

Back

The range is (0, ∞).

Front

What does it mean if a function has a domain of (-∞, ∞)?

Back

It means that the function can accept any real number as an input.

Front

What does it mean if a function has a range of (0, ∞)?

Back

It means that the function's output values are always positive and can be any number greater than zero.

Front

How do you determine the domain of a function?

Back

To determine the domain, identify any restrictions on the input values, such as division by zero or square roots of negative numbers.

Front

How do you determine the range of a function?

Back

To determine the range, analyze the output values the function can produce based on its formula and behavior.