Lesson 1099 of 1524
Linear Functions
An increasing linear function results in a graph that slants upward from left to right and has a positive slope
Practice this chapterAn increasing linear function results in a graph that slants upward from left to right and has a positive slope A decreasing linear function results in a graph that slants downward from left to right and has a negative slope
The rate of change of a linear function is also known as the slope An equation in the slope-intercept form of a line includes the slope and the initial value of the function
linear function — a function with a constant rate of change that is a polynomial of degree 1, and whose graph is a straight line. y -intercept — the value of a function when the input value is zero; also known as initial value. slope — the ratio of the change in output values to the change in input values; a measure of the steepness of a line. slope-intercept form — the equation for a line that represents a linear function in the form f ( x ) = m x + b.
Worked example
What does “linear function” mean in Linear Functions?
- 1Use the wording this chapter gives for linear function.
- 2The book says: a function with a constant rate of change that is a polynomial of degree 1, and whose graph is a straight line.
- 3Do not use the meaning of y -intercept. That term means the value of a function when the input value is zero; also known as initial value.
Result: a function with a constant rate of change that is a polynomial of degree 1, and whose graph is a straight line
Why. That is the meaning this chapter gives for linear function.
Do not swap linear function and y -intercept. linear function means a function with a constant rate of change that is a polynomial of degree 1, and whose graph is a straight line. y -intercept means the value of a function when the input value is zero; also known as initial value.
Practice margin
This chapter
A fresh set from this chapter only. Choose 10 or 20. Multiple choice and fill-in, with no repeat inside the set.