Function Tables and Relations/Functions Review

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input. In other words, for every input value, there is one and only one output value.

Front

What is a function rule?

Back

A function rule is a mathematical expression that defines the relationship between input and output values in a function.

Front

If the function rule is 2x + 1, what is the output when the input is 2?

Back

5

Front

What does Y equal if Y = 4X + 5 and X = -2?

Back

-3

Front

How can you determine if a relation is a function from a mapping?

Back

A relation is a function if each input value corresponds to exactly one output value.

Front

What is the vertical line test?

Back

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

Front

Which of the following is a function: {(2, 3), (3, 4), (5, 1), (2, 4)} or {(2, 3), (3, 4), (6, 2), (7, 3)}?

Back

{(2, 3), (3, 4), (6, 2), (7, 3)} is a function because each input is unique.

Front

What is the output of the function rule Y = 3X - 2 when X = 4?

Back

10

Front

What does it mean if a relation is not a function?

Back

If a relation is not a function, it means that at least one input value corresponds to more than one output value.

Front

What is the output of the function rule Y = 5X + 1 when X = 0?

Back

1