Chapter 3: Graphing Linear Equations and Functions

Question 1

Define: Standard form of a linear equation

Answer 1

Standard form of a linear equation is Ax+By=C, where “A”, “B”, and “C”are real numbers and “A” and “B” are not both zero.

Question 2

Define: Linear function

Answer 2

The equation Ax+By=C represents a linear function provided B≠0.

Question 3

Define: Rate of change

Answer 3

Rate of change is a comparison of a change in one quantity with a change in another quantity. In real-world situations, you can interpret the slope of a line as a rate of change.

Question 4

Define: Slope-intercept form

Answer 4

Slope-intercept form is a linear equation written in the form y=mx+b where “m” is the slope and “b” is the y-intercept of the equation’s graph.

Question 5

Define: Constant of variation

Answer 5

The constant of variation is the nonzero constant “a’” in a direct variation equation y=ax or in an inverse variation equation y=a/x.

Question 6

Define: Function notation

Answer 6

Function notation is a way to name a function using the symbol f(x) instead of y. The symbol f(x) is read as “the value of f at x” or as “f of x.”

Question 7

Define: Family of functions

Answer 7

A family of functions is a group of functions with similar characteristics.