Assignment 3.1 (Algebra I)

Front

What is a function?

Back

A function is a relation in which each input (x-value) is associated with exactly one output (y-value).

Front

How can you determine if a graph represents a function?

Back

Use the vertical line test: if a vertical line intersects the graph at more than one point, it is not a function.

Front

What is the domain of a function?

Back

The domain is the set of all possible input values (x-values) for the function.

Front

What is the range of a function?

Back

The range is the set of all possible output values (y-values) for the function.

Front

Which of the following is NOT a function: {(1,-5), (3,1), (-5,4), (4,-2)} or {(1,-5), (-1,6), (1,5), (6,-3)}?

Back

{(1,-5), (-1,6), (1,5), (6,-3)} is NOT a function because the input 1 is associated with two different outputs.

Front

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

Back

A relation is a function if each input is paired with exactly one output.

Front

What is an example of a function?

Back

An example of a function is f(x) = 2x + 3, where each x-value has a unique y-value.

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a graph represents a function by checking if any vertical line crosses the graph more than once.

Front

If a function has a range of 1 ≤ y < 3, what does this mean?

Back

This means that the output values (y-values) of the function are greater than or equal to 1 and less than 3.

Front

What is the difference between domain and range?

Back

Domain refers to the set of input values (x-values), while range refers to the set of output values (y-values).