NC Check In #2 Review

Front

What is a function?

Back

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

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a relation is a function. If a vertical line intersects the graph at more than one point, it is not a function.

Front

What is the horizontal line test?

Back

The horizontal line test determines if a function is one-to-one. If a horizontal line intersects the graph at more than one point, the function is not one-to-one.

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 find the slope between two points?

Back

To find the slope between two points (x1, y1) and (x2, y2), use the formula: slope = (y2 - y1) / (x2 - x1).

Front

What is a linear equation?

Back

A linear equation is an equation that graphs to a straight line, typically in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What is a nonlinear equation?

Back

A nonlinear equation is an equation that does not graph to a straight line, such as quadratic equations or exponential functions.

Front

What does it mean for a set of values to be a function?

Back

A set of values is a function if no x-value is repeated; each input must correspond to exactly one output.

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers used to represent a point in a coordinate system, written as (x, y).

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input has one output, while a relation can have multiple outputs for a single input.