Function Review

Front

What is 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 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 can you determine if a relation is a function?

Back

A relation is a function if each input value (x) corresponds to exactly one output value (y). This can be checked using the vertical line test.

Front

What does the vertical line test indicate?

Back

If a vertical line intersects a graph at more than one point, the relation is not a function.

Front

What is f(1) if f(x) = 5?

Back

f(1) = 5.

Front

What is f(1) if f(x) = x + 4?

Back

f(1) = 1 + 4 = 5.

Front

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

Back

The domain of f(x) = x^2 is all real numbers.

Front

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

Back

The range of f(x) = x^2 is y ≥ 0.

Front

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

Back

The domain of f(x) = 1/x is all real numbers except x = 0.

Front

What is the range of the function f(x) = 1/x?

Back

The range of f(x) = 1/x is all real numbers except y = 0.