Functions Practice

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/run).

Front

How do you calculate the slope between two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

What does a linear relationship mean?

Back

A linear relationship means that there is a constant rate of change between two variables, represented by a straight line on a graph.

Front

What is a non-proportional relationship?

Back

A non-proportional relationship is a linear relationship that does not pass through the origin, meaning there is a fixed starting value (y-intercept).

Front

What is the y-intercept in the equation y = mx + b?

Back

The y-intercept (b) is the value of y when x is 0, representing where the line crosses the y-axis.

Front

What is a function?

Back

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

Front

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

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 does the term 'domain' refer to in functions?

Back

The domain is the set of all possible input values (x) for a function.

Front

What does the term 'range' refer to in functions?

Back

The range is the set of all possible output values (y) for a function.

Front

What is the difference between a linear function and a quadratic function?

Back

A linear function has a constant rate of change and graphs as a straight line, while a quadratic function has a variable rate of change and graphs as a parabola.