Comparing Functions

Front

What is a function?

Back

A function is a relation between a set of inputs (x-values) and a set of possible outputs (y-values) where each input is related to exactly one output.

Front

How can you determine if a table represents a function?

Back

A table represents a function if each x-value corresponds to only one y-value. No x-value should repeat.

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

What does a negative slope indicate about a line?

Back

A negative slope indicates that as the x-values increase, the y-values decrease, showing a downward trend.

Front

What is the difference between linear and nonlinear functions?

Back

Linear functions create a straight line when graphed, while nonlinear functions create curves or other shapes.

Front

What is the standard form of a linear equation?

Back

The standard form of a linear equation is Ax + By = C, where A, B, and C are constants.

Front

What does it mean for a function to be nonlinear?

Back

A nonlinear function does not have a constant rate of change and cannot be represented by a straight line.

Front

What is a relation in mathematics?

Back

A relation is a set of ordered pairs, where each pair consists of an x-value and a corresponding y-value.

Front

What is the vertical line test?

Back

The vertical line test is 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 the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) that the function can accept.