2A, 6A, 9A Domain & Range

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

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

Front

What does the notation 0 ≤ t ≤ 4.5 represent?

Back

It indicates that t can take any value from 0 to 4.5, including the endpoints.

Front

What does the notation y > 0 signify in a function's range?

Back

It means that the output values of the function are greater than 0, not including 0.

Front

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

Back

Identify the x-values for which the graph exists; these values make up the domain.

Front

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

Back

Identify the y-values that the graph reaches; these values make up the range.

Front

What is the domain of the function f(x) = 5^x?

Back

All real numbers (-∞ < x < ∞).

Front

What is the range of the function f(x) = 5^x?

Back

y > 0 (all positive real numbers).

Front

What does the notation -4 ≤ y ≤ 5 indicate?

Back

It means that y can take any value from -4 to 5, including both endpoints.

Front

What is the range of a constant function, such as f(x) = 3?

Back

The range is the single value {3}.