Find the function rule

Front

What is a function rule?

Back

A function rule is a mathematical expression that describes the relationship between input (x) and output (y) values in a 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 find the slope of a line from an equation?

Back

The slope (m) can be found from the equation in the form y = mx + b, where m is the coefficient of x.

Front

What is the y-intercept in the equation y = 3x + 5?

Back

The y-intercept is 5, which is the value of y when x = 0.

Front

If the slope of a line is -2, what does this indicate about the line?

Back

A slope of -2 indicates that for every 1 unit increase in x, y decreases by 2 units, meaning the line falls.

Front

What is the function rule for the table of values: (1, 3), (2, 5), (3, 7)?

Back

The function rule is y = 2x + 1.

Front

How do you determine if a relation is a function?

Back

A relation is a function if each input (x-value) has exactly one output (y-value).

Front

What is the equation of a line with a slope of 4 and a y-intercept of -1?

Back

The equation is y = 4x - 1.

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope but different y-intercepts.

Front

What is the function rule for the equation y = -x + 6?

Back

The function rule is that y decreases by 1 for every increase of 1 in x, starting from 6.