AGS Unit 2 Vocabulary

In exponential functions, the constant factor over the equal interval. Also known as a “multiplier”.

Functions in which the variables can take on any value within an interval (measureable to infinitely small increments, such as the amount of water in the pool as it is filled with a hose or length of my hair over time before it is cut). The graph is smooth without any gaps or breaks.

Functions in which the variables have a finite number of values (countable, such as the number of dogs in a pet hotel, which can only be whole numbers, or my little sister adds three pennies each day). The graph is non-connected points.

The set of input values for which the function is defined.

A function that changes in equal factors over equal intervals. That is, the function grows (or shrinks) at a rate which increases (or decreases) by common factor. Usually in the form: 𝑓(𝑥)=𝑎𝑏𝑥, where b > 0

The x-intercept of a line is the point at which the line crosses the x axis, where the y value equals 0. x-intercept : (x, 0) The y-intercept of a line is the point at which the line crosses the y axis, where the x value equals 0. y-intercept: (0, y)

A function that changes in equal differences over equal intervals. This constant rate of change is called the slope of the line.

𝑦 = m(𝑥 − 𝑥1) + 𝑦1, where m is the slope and (x1, y1) the coordinates of a point on the line.

y = mx + b, where m is the slope and (0, b) is the y-intercept.