Function tables and graphs

Front

What is a function table?

Back

A function table is a chart that shows how each input (x-value) is related to an output (y-value) based on a specific function.

Front

What does the equation y = mx + b represent?

Back

This is the slope-intercept form of a linear equation, where m is the slope and b is the y-intercept.

Front

How do you determine if an ordered pair is a solution to a function?

Back

Plug the x-value of the ordered pair into the function and see if it equals the y-value.

Front

What is the slope of the line represented by the equation y = 2x + 3?

Back

The slope is 2, which means for every 1 unit increase in x, y increases by 2 units.

Front

What does the y-intercept represent in a graph?

Back

The y-intercept is the point where the line crosses the y-axis, indicating the value of y when x is 0.

Front

What is the purpose of a graph in relation to a function?

Back

A graph visually represents the relationship between the input and output of a function, making it easier to understand.

Front

How can you find the x-intercept of a function?

Back

Set y to 0 in the equation and solve for x.

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line, represented by the equation y = mx + b.

Front

What does it mean for a function to be increasing?

Back

A function is increasing if, as x increases, y also increases.

Front

What is a dependent variable in a function?

Back

The dependent variable is the output of the function, usually represented as y.