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- https://math.libretexts.org/Bookshelves/Precalculus/Precalculus_(Stitz-Zeager)/01%3A_Relations_and_Functions/1.02%3A_RelationsAll of Precalculus can be thought of as studying sets of points in the plane. With the Cartesian Plane now fresh in our memory we can discuss those sets in more detail
- https://math.libretexts.org/Courses/Cosumnes_River_College/Math_372%3A_College_Algebra_for_Calculus/11%3A_Appendix_-_Prerequisite_Function_Material/11.05%3A_Graphing_Functions_by_Point-PlottingIt’s time to look at functions graphically again, only this time we’ll do so with the notation defined in Section 1.4.
- https://math.libretexts.org/Courses/Cosumnes_River_College/Math_370%3A_Precalculus/01%3A_Relations_and_Functions/1.06%3A_Graphs_of_FunctionsIt’s time to look at functions graphically again, only this time we’ll do so with the notation defined in Section 1.4.
- https://math.libretexts.org/Courses/Cosumnes_River_College/Math_370%3A_Precalculus/01%3A_Relations_and_Functions/1.07%3A_TransformationsThis section covers transformations of functions, including translations, reflections, stretches, and compressions. It explains how to apply these transformations to function graphs and how changes in...This section covers transformations of functions, including translations, reflections, stretches, and compressions. It explains how to apply these transformations to function graphs and how changes in function equations affect their graphs. The section provides examples and visual aids to illustrate vertical and horizontal shifts, reflections over the axes, and scaling of graphs. These concepts help understand how functions can be manipulated to model different real-world scenarios.
- https://math.libretexts.org/Courses/Lorain_County_Community_College/Book%3A_Precalculus_(Stitz-Zeager)_-_Jen_Test_Copy/01%3A_Relations_and_Functions/1.02%3A_RelationsAll of Precalculus can be thought of as studying sets of points in the plane. With the Cartesian Plane now fresh in our memory we can discuss those sets in more detail
- https://math.libretexts.org/Courses/Cosumnes_River_College/Math_384%3A_Foundations_for_Calculus/01%3A_Functions_-_Fundamental_Concepts/1.05%3A_TransformationsIn this section, we study how the graphs of functions change, or transform, when certain specialized modifications are made to their formulas. The transformations we will study fall into three broad c...In this section, we study how the graphs of functions change, or transform, when certain specialized modifications are made to their formulas. The transformations we will study fall into three broad categories: shifts, reflections and scalings, and we will present them in that order.
- https://math.libretexts.org/Courses/Cosumnes_River_College/Math_372%3A_College_Algebra_for_Calculus/11%3A_Appendix_-_Prerequisite_Function_Material/11.02%3A_RelationsThis section introduces relations, explaining how they are defined as sets of ordered pairs. It provides examples of different types of relations and discusses how to represent relations graphically a...This section introduces relations, explaining how they are defined as sets of ordered pairs. It provides examples of different types of relations and discusses how to represent relations graphically and algebraically.
- https://math.libretexts.org/Courses/Cosumnes_River_College/Math_370%3A_Precalculus/01%3A_Relations_and_Functions/1.02%3A_RelationsThis section introduces relations, explaining how they are defined as sets of ordered pairs. It provides examples of different types of relations and discusses how to represent relations graphically a...This section introduces relations, explaining how they are defined as sets of ordered pairs. It provides examples of different types of relations and discusses how to represent relations graphically and algebraically.
- https://math.libretexts.org/Courses/Cosumnes_River_College/Math_372%3A_College_Algebra_for_Calculus/01%3A_Refining_Function_Knowledge/1.04%3A_Graphing_Functions_Using_TransformationsIn this section, we study how the graphs of functions change, or transform, when certain specialized modifications are made to their formulas. The transformations we will study fall into three broad c...In this section, we study how the graphs of functions change, or transform, when certain specialized modifications are made to their formulas. The transformations we will study fall into three broad categories: shifts, reflections and scalings, and we will present them in that order.
- https://math.libretexts.org/Courses/Cosumnes_River_College/Math_372%3A_College_Algebra_for_Calculus/01%3A_Refining_Function_Knowledge/1.03%3A_Graphical_Properties_of_FunctionsIn this section, we cover graphical characteristics of functions including symmetry, local extrema, and intervals of increase and decrease. The entire topic is explored from the perspective of being g...In this section, we cover graphical characteristics of functions including symmetry, local extrema, and intervals of increase and decrease. The entire topic is explored from the perspective of being given the graph of the function (or, at least, being able to use technology to graph the function). We hold off on reviewing how to graph for a later section.
- https://math.libretexts.org/Courses/Lorain_County_Community_College/Book%3A_Precalculus_Jeffy_Edits_3.75/01%3A_Relations_and_Functions/1.02%3A_RelationsAll of Precalculus can be thought of as studying sets of points in the plane. With the Cartesian Plane now fresh in our memory we can discuss those sets in more detail
