Algebra 1 Chapter 4 Review B

Front

What is a function?

Back

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

Front

How do you determine if a relation is a function?

Back

A relation is a function if no x-value is repeated in the ordered pairs. This can be checked using the vertical line test on a graph.

Front

What is the domain of 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 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

Evaluate f(4) if f(x) = x - 3.

Back

f(4) = 4 - 3 = 1.

Front

What does it mean for a graph to be 'not a function'?

Back

A graph is 'not a function' if any vertical line intersects the graph at more than one point.

Front

Identify the domain of the relation: (-6,14), (0,32), (2,38), (4,44).

Back

The domain is -6, 0, 2, 4.

Front

What is the output of the function f(x) = 2x + 1 when x = 3?

Back

f(3) = 2(3) + 1 = 7.

Front

What is a mapping in mathematics?

Back

A mapping is a way to describe how each element of one set (domain) is paired with an element of another set (range).

Front

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

Back

No, it is not a function because the x-value 1 is paired with two different y-values (2 and 3).