Range from Given Domain

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 based on its domain.

Front

How do you find the range of a function given a specific domain?

Back

Substitute each value from the domain into the function and determine the corresponding output values.

Front

What is the domain of the function f(x) = -x - 10?

Back

All real numbers.

Front

Given the function f(x) = -3x + 3, what is f(0)?

Back

3.

Front

For the function f(x) = 3x^3 + 2x + 4, what is f(-1)?

Back

-1.

Front

What is the range of the function f(x) = 3x^3 - 2x + 4 when the domain is {0, 1, 2, 3}?

Back

{4, 5, 24, 79}.

Front

What does it mean if a function has a domain of all real numbers?

Back

It means that the function can accept any real number as an input.

Front

What is a common method to determine the range of a function?

Back

Evaluate the function at various points within the domain and observe the resulting outputs.

Front

What is the significance of the range in a function?

Back

The range indicates the possible outcomes of the function based on its inputs.