8th Math STAAR Review Functions & Slope

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 y to be a function of x?

Back

It means that for every x-value, there is one and only one corresponding y-value.

Front

How can you determine if a set of ordered pairs represents a function?

Back

Check if any x-value is repeated; if it is, then it does not represent a function.

Front

What is the vertical line test?

Back

A method to determine if a graph represents a function; if a vertical line intersects the graph at more than one point, it is not a function.

Front

What is a mapping in mathematics?

Back

A mapping shows how each element from one set (domain) is paired with an element in another set (range).

Front

What is the domain of a function?

Back

The set of all possible input values (x-values) for the function.

Front

What is the range of a function?

Back

The set of all possible output values (y-values) for the function.

Front

What is a linear function?

Back

A function that graphs to a straight line, typically in the form y = mx + b.

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x; it indicates how steep the line is.

Front

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

Back

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