Domain and Range of Linear Functions

Front

What is the definition of the domain of a function?

Back

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

Front

What is the definition of the range of a function?

Back

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

Front

How do you determine the domain from a graph?

Back

The domain is determined by identifying the x-values that the graph covers.

Front

How do you determine the range from a graph?

Back

The range is determined by identifying the y-values that the graph covers.

Front

What does it mean if a function is defined for all real numbers?

Back

It means that the domain of the function includes every possible x-value.

Front

What is the domain of the function f(x) = 2x + 3?

Back

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

Front

What is the range of the function f(x) = 2x + 3?

Back

The range is all real numbers, or (-∞, ∞).

Front

If a graph has endpoints at (0, -2) and (4, 3), what is the range?

Back

The range is -2 ≤ y ≤ 3.

Front

If a graph is limited to x-values between 0 and 180, what is the domain?

Back

The domain is 0 ≤ x ≤ 180.

Front

What does the notation -4 ≤ x ≤ 3 represent?

Back

It represents that x can take any value from -4 to 3, inclusive.