Ch. 3 Flashcard

Front

What is the definition of slope in mathematics?

Back

The slope is a measure of the steepness of a line, often described as the 'rate of change' of a function.

Front

What does a distance-time graph represent?

Back

A distance-time graph shows how distance changes over time, illustrating the speed and direction of an object's movement.

Front

What is a function in mathematics?

Back

A function is a relation that assigns exactly one output for each input, meaning no two inputs can have the same output.

Front

What does it mean if a graph is linear?

Back

A linear graph represents a constant rate of change, forming a straight line when plotted.

Front

How can you determine if a table represents a function?

Back

A table represents a function if each input (x-value) corresponds to exactly one output (y-value).

Front

What is the y-intercept of a graph?

Back

The y-intercept is the point where the graph crosses the y-axis, indicating the value of y when x is zero.

Front

What does it mean for a graph to be increasing?

Back

A graph is increasing when the y-values rise as the x-values increase, indicating a positive slope.

Front

What does it mean for a graph to be decreasing?

Back

A graph is decreasing when the y-values fall as the x-values increase, indicating a negative slope.

Front

What is the significance of a flat section on a distance-time graph?

Back

A flat section indicates that the object is stationary, meaning it is not changing its distance from the starting point.

Front

What is the formula for calculating slope?

Back

The formula for slope (m) is m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.