8.F.1 + 8.F.3 + 8.F.5 Flashcard

Front

What does it mean when a car is moving at a constant speed?

Back

The car is traveling the same distance in equal intervals of time, indicating no acceleration.

Front

What is a function in mathematics?

Back

A relation where every input (x-value) has exactly one output (y-value).

Front

How do you calculate the rate of change?

Back

Rate of change is calculated by dividing the change in the output by the change in the input.

Front

What is the difference between linear and nonlinear relationships?

Back

Linear relationships create a straight line when graphed, while nonlinear relationships create curves.

Front

What does it mean if a graph is nonlinear?

Back

It indicates that the relationship between the variables does not form a straight line.

Front

What is an example of a function?

Back

An equation like y = 2x + 3, where for every x, there is one corresponding y.

Front

What does it mean for a car to be parked?

Back

The car is stationary and not moving.

Front

What is the significance of the slope in a linear graph?

Back

The slope represents the rate of change between the two variables.

Front

How can you tell if a relationship is a function from a graph?

Back

Use the vertical line test: if a vertical line crosses the graph more than once, it is not a function.

Front

What does it mean for speed to be increasing?

Back

The car is accelerating, meaning it is covering more distance in the same amount of time.