Function Tables Practice

Front

What is a function table?

Back

A function table is a table that shows the relationship between input values (x) and output values (y) based on a specific function.

Front

What does the equation y = 6x represent?

Back

It represents a linear function where y is directly proportional to x, with a slope of 6.

Front

How do you determine if a graph represents a function?

Back

A graph represents a function if every input (x-value) has exactly one output (y-value). This can be checked using the vertical line test.

Front

What is the vertical line test?

Back

The vertical line test states that if a vertical line intersects a graph at more than one point, then the graph does not represent a function.

Front

What does the equation b = a + 13 indicate?

Back

It indicates a linear relationship where for every increase of 1 in 'a', 'b' increases by 1, starting from 13.

Front

What is an ordered pair?

Back

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

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

What does it mean for a graph to not represent a function?

Back

It means that there are at least two different y-values for the same x-value in the graph.

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line, described by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the y-intercept?

Back

The y-intercept is the point where a line crosses the y-axis, represented by the value of y when x = 0.