Practice 12-10-24

Front

What is a relation in mathematics?

Back

A relation is a set of ordered pairs, where each pair consists of an input (domain) and an output (range).

Front

What is the domain of a relation?

Back

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

Front

What is the range of a relation?

Back

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

Front

What defines a function?

Back

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

Front

How do you determine if a set of values is a function?

Back

Check if any x-value is repeated; if it is, the set is not a function.

Front

What is the notation for a function?

Back

Functions are often denoted as f(x), where 'f' is the function name and 'x' is the input.

Front

How do you evaluate a function at a specific value?

Back

Substitute the specific value into the function's equation and simplify.

Front

What is a linear equation?

Back

A linear equation is an equation that forms a straight line when graphed, typically in the form y = mx + b.

Front

What do the variables 'm' and 'b' represent in the equation y = mx + b?

Back

In the equation, 'm' represents the slope of the line, and 'b' represents the y-intercept.

Front

What is the slope of a line?

Back

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