Functional Relationship

Front

What is a functional relationship?

Back

A functional relationship is a relationship between two quantities where one quantity depends on the other, often represented as y = f(x).

Front

What does it mean for a function to be nonlinear?

Back

A nonlinear function is a function that does not form a straight line when graphed. Its rate of change varies.

Front

What is the definition of an increasing function?

Back

An increasing function is a function where, as the input (x) increases, the output (y) also increases.

Front

What is the definition of a decreasing function?

Back

A decreasing function is a function where, as the input (x) increases, the output (y) decreases.

Front

What does it mean for a function to be constant?

Back

A constant function is a function that does not change; the output (y) remains the same regardless of the input (x).

Front

How can you identify a nonlinear graph?

Back

A nonlinear graph can be identified by its curved shape, indicating that the rate of change is not constant.

Front

What is the significance of intervals in a graph?

Back

Intervals in a graph indicate specific ranges of x-values where certain behaviors (increasing, decreasing, constant) occur.

Front

What does it mean for a graph to have multiple increases and decreases?

Back

A graph with multiple increases and decreases shows fluctuations in the values, indicating changes in the dependent variable over time.

Front

How can you determine the rate of change in a function?

Back

The rate of change can be determined by calculating the slope of the line connecting two points on the graph.

Front

What is a dependent variable?

Back

A dependent variable is the variable that depends on the independent variable; it is usually represented as y in a function.