Math 112. Assignment. Introduction to Functions

Front

What is a function?

Back

A function is a special relation in which every input has only ONE output.

Front

How can you identify a function from a graph?

Back

A function can be identified from a graph using the vertical line test: if a vertical line intersects the graph at more than one point, it is not a function.

Front

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

Back

For a relation to be a function, each x-value must be paired with exactly one y-value.

Front

Given the points (3, 0), (-2, -3), (1, -2), (3, 3) and (-3, 2), which point should be removed to make it a function?

Back

Remove (3, 3) to ensure each x-value is unique.

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a curve is a function by checking if any vertical line intersects the curve more than once.

Front

Can a function have the same output for different inputs?

Back

Yes, a function can have the same output for different inputs, but each input must have only one output.

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

If a relation has the pairs (1, 2), (2, 3), (1, 4), is it a function?

Back

No, it is not a function because the input 1 has two different outputs (2 and 4).

Front

What is an example of a function?

Back

An example of a function is f(x) = x^2, where each input x has a unique output.