Functions Review (8th)

Front

What is a function in mathematics?

Back

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

Front

What does it mean for a function to be constant?

Back

A function is constant when its output value does not change regardless of the input.

Front

How can you determine if a graph represents a constant function?

Back

A graph represents a constant function if it is a horizontal line.

Front

What does it mean when a graph is increasing?

Back

A graph is increasing when the output values rise as the input values increase.

Front

What does it mean when a graph is decreasing?

Back

A graph is decreasing when the output values fall as the input values increase.

Front

What is the significance of the slope in a graph?

Back

The slope indicates the rate of change of the function; a positive slope means increasing, while a negative slope means decreasing.

Front

What does it mean for a car to be parked in a graph?

Back

A parked car is represented by a horizontal line at a constant output value of zero speed.

Front

How can you identify the fastest speed on a graph?

Back

The fastest speed is indicated by the steepest slope on the graph.

Front

What does it mean if a section of a graph is flat?

Back

A flat section of a graph indicates that the function is constant during that interval.

Front

What is the difference between speed increasing and speed decreasing on a graph?

Back

Speed increasing is shown by an upward slope, while speed decreasing is shown by a downward slope.