Topic 3 Mid-Topic Assessment - 8th Math

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the change in y divided by the change in x (rise over run).

Front

Define a function.

Back

A function is a relation that assigns exactly one output (y) for each input (x).

Front

What is the difference between a function and a relation?

Back

A relation can have multiple outputs for a single input, while a function must have only one output for each input.

Front

What does it mean for a function to be linear?

Back

A linear function has a constant rate of change (slope) and can be represented by a straight line on a graph.

Front

What is a nonlinear function?

Back

A nonlinear function does not have a constant rate of change and its graph is not a straight line.

Front

How can you determine if a relation is a function from a graph?

Back

A relation is a function if any vertical line drawn through the graph intersects it at most once (Vertical Line Test).

Front

Back

Front

True or False: Every relation is a function.

Back

False.

Front

What is the relationship between functions and relations?

Back

A function is a special type of relation where each input is associated with exactly one output.

Front

What does it mean for a slope to be constant?

Back

A constant slope means that the rate of change between x and y remains the same throughout the entire function.