Domain and Range, Function notation

Front

What is the definition of Domain in a function?

Back

The domain of a function is the complete set of possible values of the independent variable (input) for which the function is defined.

Front

What is the definition of Range in a function?

Back

The range of a function is the complete set of possible values of the dependent variable (output) that results from using the function.

Front

What does it mean for a relation to be a function?

Back

A relation is a function if every input (x-value) has exactly one output (y-value).

Front

How do you determine the domain of a function from its graph?

Back

The domain can be determined by identifying all the x-values that the graph covers.

Front

How do you determine the range of a function from its graph?

Back

The range can be determined by identifying all the y-values that the graph covers.

Front

What is function notation?

Back

Function notation is a way to denote a function using symbols, typically written as f(x), where f represents the function and x is the input.

Front

What is the minimum output of the function f(x) = x^2 - 4?

Back

The minimum output is -4, which occurs at x = 0.

Front

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

Back

The range is y ≥ 0, since the output of x^2 is always non-negative.

Front

What is the output of f(-5) if f(x) = 2x + 8?

Back

f(-5) = 2(-5) + 8 = -10 + 8 = -2.

Front

How do you express the range of a function using interval notation?

Back

The range can be expressed in interval notation, such as (-∞, 6] for y-values less than or equal to 6.