The document provides examples of coordinate planes, functions, and evaluating functions at given values of x. It discusses identifying coordinates on a coordinate plane by moving right and down specified units. It also defines what makes a relation a function, which is that the x-values cannot repeat. Examples are given of evaluating functions by plugging values into the function equations and simplifying.

1. Module 4 Topic 1Coordinate Planes/Midpoint/Relations and Functions

2. Example 1Similar Problem: Follow these directions on a blank coordinate plane: Begin at the origin, move right 5 units, down 4 units. What are the coordinates of the ordered pair have you just graphed?Right 5 is going to be x = 5Down 4 is going to be y = -4(5, -4)

3. Example 2For a function to exist, if you are looking at a set of ordered, none of the x-values can repeat. So if the x-values repeat at all then it is not a function.

4. Example 3For a function to exist, if you are looking at a table, none of the x-values can repeat. So if the x-values repeat at all then it is not a function.

5. Example 4Remember that if you have a vertical line it is not a function because it does not pass the vertical line test.

6. Example 5Similar Problem: Let f(x) = 10x - 5.5. Find the value of f(3).10x - 5.5 Plug in 3 for x and evaluate. 10(3) - 5.530 - 5.524.5

7. Example 6Similar Problem: Let g(x) = x2 - 4x + 9. Find the value of g(-3)Plug in -3 for x.x2 - 4x + 9(-3)2 - 4(-3) + 99 - (-12) + 99 + 12 + 9 30