Domain and range

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

What is the proper domain for the function f(x) = √x?

Back

x ≥ 0.

Front

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

Back

All real numbers except x = 0.

Front

Given the function f(x) = x^2, what is its domain?

Back

All real numbers.

Front

Given the function f(x) = x^2, what is its range?

Back

y ≥ 0.

Front

What does it mean if a function is defined as f: A → B?

Back

It means that the function f maps elements from set A (domain) to set B (range).

Front

For the function {(0,1), (1,-3), (2,-4), (-4,1)}, what is the domain?

Back

D: {-4, 0, 1, 2}.

Front

For the function {(0,1), (1,-3), (2,-4), (-4,1)}, what is the range?

Back

R: {-4, -3, 1}.

Front

What is the domain of the graph represented by -7 ≤ x < 5?

Back

The domain is the set of x-values from -7 to 5, including -7 but not 5.