Functions Review

Front

What is a function?

Back

A function is a relation where each input (domain) is assigned exactly one output (range).

Front

What makes a relation a function?

Back

Each member of the domain is assigned exactly one member of the range.

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line, represented by the equation y = mx + b.

Front

What is a nonlinear function?

Back

A nonlinear function is a function that does not graph to a straight line, such as quadratic functions like y = x².

Front

How can you identify a linear function from its equation?

Back

If the equation can be written in the form y = mx + b, it is linear.

Front

What is the rate of change in a function?

Back

The rate of change is the ratio of the change in the output value to the change in the input value.

Front

What is the greatest rate of change?

Back

The greatest rate of change refers to the steepest slope of a function on a graph.

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

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

Front

How do you determine if a graph represents a function?

Back

Use the vertical line test: if a vertical line intersects the graph at more than one point, it is not a function.