Function Rules & The Coordinate Plane

Front

What is a function rule?

Back

A function rule is a mathematical expression that defines a relationship between input (x) and output (y) values, typically expressed as y = f(x).

Front

What does the coordinate plane consist of?

Back

The coordinate plane consists of two perpendicular lines: the x-axis (horizontal) and the y-axis (vertical), which intersect at the origin (0,0).

Front

How do you find missing y-values in a function?

Back

To find missing y-values, substitute the given x-values into the function rule and solve for y.

Front

What is the significance of the coordinate (-1, 6)?

Back

The coordinate (-1, 6) represents a point on the coordinate plane where x = -1 and y = 6.

Front

How do you determine which equation matches a table of values?

Back

To determine which equation matches a table, substitute the x-values from the table into each equation and see which one produces the corresponding y-values.

Front

What is the slope-intercept form of a linear equation?

Back

The 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 y with respect to x, indicating how steep the line is.

Front

What is the y-intercept of a linear function?

Back

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

Front

How can you graph a linear equation?

Back

To graph a linear equation, find at least two points that satisfy the equation and plot them on the coordinate plane, then draw a line through the points.

Front

What is the difference between independent and dependent variables?

Back

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