Analyzing Graphs

Front

What is an increasing function?

Back

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

Front

What is 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 one where the output (y) remains the same regardless of the input (x).

Front

How can you identify intervals of increase and decrease on a graph?

Back

Intervals of increase and decrease can be identified by observing the slope of the graph: if the slope is positive, the function is increasing; if negative, it is decreasing.

Front

What does it mean when a graph is linear?

Back

A linear graph represents a linear function, which has a constant rate of change and can be expressed in the form y = mx + b.

Front

What is the significance of a horizontal line on a graph?

Back

A horizontal line indicates a constant function where the output does not change as the input changes.

Front

What does it mean for a graph to be accelerating?

Back

A graph is accelerating when the rate of change of the output (y) is increasing over time.

Front

What does it mean for a graph to be decelerating?

Back

A graph is decelerating when the rate of change of the output (y) is decreasing over time.

Front

How do you describe a function that is increasing between two points?

Back

A function is described as increasing between two points if the output (y) values rise as the input (x) values move from the first point to the second.

Front

What is the difference between a linear and a non-linear graph?

Back

A linear graph has a constant slope and forms a straight line, while a non-linear graph has varying slopes and curves.