Day 66 - 8.PFA.2 Wup: Functions, Domain & Range

Front

What is a function?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

Front

Define domain in the context of functions.

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

Define range in the context of functions.

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 is the domain of the function represented by the points (0,1), (1,-3), (2,-4), (-4,1)?

Back

The domain is {-4, 0, 1, 2}.

Front

What is the range of the function represented by the points (0,1), (1,-3), (2,-4), (-4,1)?

Back

The range is {-4, -3, 1}.

Front

How do you find the domain of a function from a graph?

Back

Identify all the x-values that correspond to points on the graph; these values make up the domain.

Front

How do you find the range of a function from a graph?

Back

Identify all the y-values that correspond to points on the graph; these values make up the range.

Front

What is the difference between a finite and infinite domain?

Back

A finite domain has a limited number of input values, while an infinite domain has no restrictions on the input values.

Front

What does it mean if a function is not defined for certain x-values?

Back

It means that there are inputs for which the function does not produce an output, often due to division by zero or square roots of negative numbers.

Front

What is an example of a function with a restricted domain?

Back

The function f(x) = 1/x is not defined for x = 0, so its domain is all real numbers except 0.