Algebra Keystone: Functions

Front

What is a function?

Back

A function is a relation that assigns exactly one output value for each input value.

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

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

Front

How can you determine if a relation is a function using the vertical line test?

Back

If a vertical line intersects the graph of the relation at more than one point, it is not a function.

Front

What does it mean for a function to be linear?

Back

A linear function is a function that graphs to a straight line and can be expressed in the form y = mx + b.

Front

What is a mapping diagram?

Back

A mapping diagram visually represents the relationship between the input values and output values of a function.

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers (x, y) that represents a point in a coordinate plane.

Front

What is the difference between independent and dependent variables?

Back

The independent variable is the input (x), while the dependent variable is the output (y) that depends on the input.

Front

What is a table of values in relation to functions?

Back

A table of values lists pairs of input and output values to show how a function behaves.

Front

How do you find the least number of lawns Aki needs to mow to buy a music player costing $234?

Back

You set up an equation based on the function provided and solve for the minimum number of lawns.