Matching Tables to Graphs and Equations

Front

What is a function in mathematics?

Back

A function is a relationship between a set of inputs and a set of possible outputs where each input is related to exactly one output.

Front

What does a table represent in relation to a function?

Back

A table shows pairs of input (x) and output (y) values that correspond to a function.

Front

What is the equation of a line in slope-intercept form?

Back

The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you determine the slope from a table of values?

Back

The slope can be determined by finding the change in y divided by the change in x between two points.

Front

What does the y-intercept represent in a graph?

Back

The y-intercept is the point where the line crosses the y-axis, representing the output value when the input is zero.

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers used to locate a point on a graph, written as (x, y).

Front

How can you tell if an ordered pair is on a line represented by an equation?

Back

Substitute the x-value of the ordered pair into the equation; if the resulting y-value matches the y-value of the ordered pair, it is on the line.

Front

What does it mean for two equations to be equivalent?

Back

Two equations are equivalent if they have the same solution set, meaning they represent the same line on a graph.

Front

What is the purpose of graphing a function?

Back

Graphing a function visually represents the relationship between the input and output values, making it easier to understand the function's behavior.

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.