Function Tables & Graphs

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 rule or equation.

Front

What does it mean to plot a point on a graph?

Back

To plot a point means to mark its location on a coordinate plane using its x (horizontal) and y (vertical) values.

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 is a linear equation?

Back

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

Front

How do you find the y-intercept of a linear equation?

Back

The y-intercept is found by setting x to 0 in the equation and solving for y.

Front

What is the difference between independent and dependent variables?

Back

The independent variable is the input (x) that you control, while the dependent variable is the output (y) that depends on the input.

Front

What does it mean for a function to be increasing?

Back

A function is increasing if, as the input values increase, the output values also increase.

Front

What does it mean for a function to be decreasing?

Back

A function is decreasing if, as the input values increase, the output values decrease.

Front

What is a coordinate plane?

Back

A coordinate plane is a two-dimensional surface formed by the intersection of a horizontal axis (x-axis) and a vertical axis (y-axis).

Front

How do you determine if a table of values represents a function?

Back

A table of values represents a function if each input value (x) corresponds to exactly one output value (y).