Domain and Range Practice

Front

What is the definition of 'domain' in 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 'range' in 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 of a function from its graph?

Back

To determine the domain from a graph, you read the graph from left to right and identify all the x-values that have corresponding y-values.

Front

What is the domain of the function represented by the points (-6,14), (0,32), (2,38), (4,44)?

Back

The domain is -6, 0, 2, 4.

Front

What is the range of the function represented by the points (-6,14), (0,32), (2,38), (4,44)?

Back

The range is 14, 32, 38, 44.

Front

What does it mean if a function has a restricted domain?

Back

A restricted domain means that not all x-values are allowed; certain values are excluded due to the nature of the function.

Front

What is the domain of the function f(x) = √(x-3)?

Back

The domain is x ≥ 3.

Front

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

Back

The range is y ≥ 0.

Front

How can you express the domain of a function using interval notation?

Back

Interval notation uses brackets and parentheses to describe the set of x-values, e.g., (a, b) means all x such that a < x < b.

Front

What is the domain of the function f(x) = 1/(x-2)?

Back

The domain is all real numbers except x = 2.