Relate Tables, 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 the term 'input' refer to in a function?

Back

The input is the value that is put into a function, often represented by the variable x.

Front

What does the term 'output' refer to in a function?

Back

The output is the value that comes out of a function after applying the input, often represented by the variable y.

Front

How do you represent a function using a table?

Back

A function can be represented using a table that lists pairs of input and output values.

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

What does the slope of a line represent?

Back

The slope of a line represents the rate of change of the output value (y) with respect to the input value (x).

Front

What is the y-intercept in a linear equation?

Back

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

Front

How can 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 is the relationship between tables, graphs, and equations?

Back

Tables provide numerical data, graphs visually represent that data, and equations describe the relationship mathematically.

Front

What does it mean if the output is 3 times the input?

Back

It means for every unit increase in the input, the output increases by three times that amount.