Function or Not a Function, That is the Question.

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

What is the vertical line test?

Back

The vertical line test is a method used to determine if a curve is a function. If a vertical line intersects the curve at more than one point, then the curve is not a function.

Front

Can a function have the same output for different inputs?

Back

Yes, a function can have the same output for different inputs, as long as each input corresponds to only one output.

Front

What is a domain in a function?

Back

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

Front

What is a range in a function?

Back

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

Front

Is the relation {(1,2), (2,3), (1,4)} a function?

Back

No, this relation is not a function because the input '1' is associated with two different outputs (2 and 4).

Front

Is the relation {(1,2), (2,2), (3,2)} a function?

Back

Yes, this relation is a function because each input is associated with exactly one output.

Front

What does it mean for a function to be one-to-one?

Back

A function is one-to-one if each output is associated with exactly one input, meaning no two different inputs produce the same output.

Front

What is an example of a non-function?

Back

An example of a non-function is the relation {(1,2), (1,3)}, where the input '1' has two different outputs.

Front

What is a linear function?

Back

A linear function is a function that can be graphically represented as a straight line, typically in the form y = mx + b.