8.F.1 - 8.F.3: Rate of Change Flashcard

Front

What is a function?

Back

A function is a relation where each input (x-value) has exactly one output (y-value).

Front

What does it mean for a relation to not be a function?

Back

A relation is not a function if at least one input (x-value) is associated with more than one output (y-value).

Front

What is the rate of change in a linear function?

Back

The rate of change in a linear function is the slope, which represents how much the output (y) changes for a unit change in the input (x).

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

Back

The slope is 4.

Front

What is a constant rate of change?

Back

A constant rate of change means that the change in the output (y) is the same for every unit change in the input (x).

Front

What is the constant rate of change in miles per hour while driving in the city?

Back

30 miles per hour.

Front

How can you determine if a graph represents a function?

Back

Use the vertical line test: if a vertical line intersects the graph at more than one point, it is not a function.

Front

What is the definition of a linear function?

Back

Front

Back

The y-intercept is -5.