A transformation simply refers to moving the graph of a function around: If you want to move the line graph of y = 2x + 1 to the left or right, you increase or decrease the input. If you want to move the line graph of y = 2x + 1 up or down, [...]

The set of all possible inputs for a function is called the domain, and the inputs fall on the x‐axis in a graph. The set of all possible outputs for a function is called the range, and the outputs fall on the y‐axis in a graph. If the domain has an input that is [...]

With so many formulas and equations to know and use, computations can become confusing when you must use several formulas and/or equations for the same problem. Function notation was developed to help differentiate between distinct equations and formulas, which are all considered functions. A function is a correspondence, or relation, between two sets of [...]

Quadratic equations function in the same manner as linear equations in that you have a particular input resulting in a particular output. You plot points on the graph in the same manner as you do linear equations. The difference is that the graph of a quadratic forms a curved line, called a parabola, instead [...]

The line graphs generated by linear equations are not limited to the portion of the graph shown, but instead continue on infinitely in either direction. Essentially, you are working with a segment of the line graph and a few of the points it contains. We can further analyze the measurements of these line segments [...]

A graph, or coordinate plane, can be used to represent the results of equations by plotting their inputs and outputs. Basically, a value is inputted into an equation (with one variable), a series of mathematical actions occur, and a single output is created. A graph is made up of two perpendicular number lines, called the [...]

So far, you have mostly been solving for a single variable in an equation or placing one variable in terms of the others. However, you will likely face questions asking you to solve for more than one variable, and these questions will likely be about linear equations. A linear equation simply refers to an [...]

You know that 2 is a larger number than 1, and you know that ‐2 is a smaller number than ‐1, so how do you show both of these statements to be true? While an equation is a demonstration of two quantities equal to one another, inequalities demonstrate two quantities not equal to one [...]

Direct and inverse variation refers to two values that are proportional to one another depending on a particular constant, or k: Direct variation multiplies the constant to one of the values. Inverse variation divides the constant by one of the values. To determine which variation to use, look closely at the words used in [...]

Absolute value, represented as a vertical line on either side of the value, refers to a number or variable’s distance from zero on the number line. There are always two numbers that share the same distance from zero: a positive number and its negative counterpart. The absolute value for a variable will usually result [...]