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# Module 3

### All things function notation and graphing

TermDefinition
Objective 1: Evaluate the value of a function written in a function notation To evaluate a function, replace the function's variable with the indicated number or expression.
Objective 2: Evaluate square roots of numbers A positive or zero value of the given number use a real number. For a negative value, use not a real number ex.real number would be using √4, making the √ of that number 2,
Objective 2: Continued However, an example of not a real number would be √-25; for that is not a real number
Objective 3: Graph nonlinear functions Nonlinear functions are functions that are not linear functions; therefor they have the opposite properties of a linear function. The graph of a nonlinear function is not a line. The nonlinear functions have a slope that varies between points.
Objective 4: Graph vertical and horizontal shifts All that a shift will do is change the location of the graph. A vertical shift add/subtracts a constant to/from every y-coordinate while leaving the x-coordinate unchanged.
Objective 4: Continued A horizontal shift adds/subtracts a constant to/from every x-coordinate while leaving the y-coordinate unchanged. Vertical and horizontal shifts can be combined into one expression
Objective 5: Graph relfections Determine the coordinates of the points that make up the vertices of the triangle. Plotting the reflections of the vertex points will allow you to connect the dotsand create the reflection of the entire image.
Objective 5: Continued Using the rule for reflecting a figure across the x axis, convert each of the coordinates to their reflection. The rule for this type of reflection is (a,b) reflects to (a, -b).
Created by: cmcmurr1