Savvas Math 1 Unit 3 Linear Function Rules

Front

What is a linear function?

Back

A linear function is a function that can be graphically represented as a straight line. It has the form f(x) = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope of a linear function represent?

Back

The slope of a linear function represents the rate of change of the function. It indicates how much the output (y) changes for a unit change in the input (x).

Front

What is the y-intercept of a linear function?

Back

The y-intercept is the point where the graph of the function crosses the y-axis. It is represented by the value of b in the function f(x) = mx + b.

Front

How do you determine the slope from two points on a line?

Back

The slope (m) can be calculated using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

Front

What is the function rule for a linear function with a slope of 3 and a y-intercept of 5?

Back

The function rule is f(x) = 3x + 5.

Front

If a linear function has a slope of -2 and a y-intercept of 4, what is the function rule?

Back

The function rule is y = -2x + 4.

Front

What is the common difference in a linear function?

Back

The common difference is the constant amount that the output (y) increases or decreases as the input (x) increases by 1.

Front

How do you write the function rule if the 0th term is -5 and the slope is 3?

Back

The function rule is f(x) = 3x - 5.

Front

What is the function rule for a linear function with a y-intercept of 4 and a common difference of -7?

Back

The function rule is y = -7x + 4.

Front

What does it mean if a linear function has a negative slope?

Back

A negative slope indicates that as the input (x) increases, the output (y) decreases, resulting in a downward slant of the line.