Final Review #3

Front

What is the rate of change in a linear function?

Back

The rate of change in a linear function is the ratio of the change in the y-value to the change in the x-value, often represented as 'm' in the slope-intercept form y = mx + b.

Front

Identify the x-intercept of a graph.

Back

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

Front

What is the initial value in a linear equation?

Back

The initial value is the starting point of the function, often represented as 'b' in the slope-intercept form y = mx + b.

Front

What does a minimum value on a graph indicate?

Back

A minimum value indicates the lowest point on the graph, where the function changes from decreasing to increasing.

Front

What does a maximum value on a graph indicate?

Back

A maximum value indicates the highest point on the graph, where the function changes from increasing to decreasing.

Front

How do you calculate the slope of a line?

Back

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

Front

What is the difference between a positive and negative slope?

Back

A positive slope indicates that as x increases, y also increases, while a negative slope indicates that as x increases, y decreases.

Front

What is a linear equation?

Back

A linear equation is an equation that forms a straight line when graphed, typically in the form y = mx + b.

Front

What does it mean for a function to be increasing?

Back

A function is increasing if, as the input (x) increases, the output (y) also increases.

Front

What does it mean for a function to be decreasing?

Back

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