Graphs of Functions PreCalculus 1-3.

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Presentation transcript:

Graphs of Functions PreCalculus 1-3

Function Graphs

Function Graphs

Function Graphs

Function Graphs

Function Graphs

Function Graphs

Function Graphs

Function Graphs

Function Graphs

Increasing and Decreasing Functions

Increasing and Decreasing Functions

Increasing and Decreasing Functions

Increasing and Decreasing Functions

Increasing and Decreasing Functions

Increasing and Decreasing Functions

Increasing and Decreasing Functions For the given function, find the average rate of change between x = 2 and x = 7 9 Increasing and Decreasing Functions

Increasing and Decreasing Functions

Increasing and Decreasing Functions

Increasing and Decreasing Functions

Increasing and Decreasing Functions

Increasing and Decreasing Functions

Increasing and Decreasing Functions

Increasing and Decreasing Functions

Increasing and Decreasing Functions

Increasing and Decreasing Functions

Function Graphs

Function Graphs Completing Piecewise functions on a 84 Enter each “piece” separately in the editor, but turn off the graph by removing the highlight from the equal sign Enter a new function that is each of the previous pieces multiplied by the domain and added to the others as shown Function Graphs

Function Graphs Completing Piecewise functions on a TI-Nspire When on a graphing page, and in the function line, hit the catalog button Then select “5” for the fifth tab across the top Function Graphs

Function Graphs Completing Piecewise functions on a TI-Nspire These allow entering piecewise functions Enter your “or equal to” after the greater than less than sign, the calculator will change it as shown below Function Graphs

Function Graphs Graph the following piecewise function This piecewise function is continuous Function Graphs

Function Graphs

Function Graphs

Function Graphs

Function Graphs

Function Graphs

Function Graphs

Function Graphs

Function Graphs

Function Graphs

Function Graphs

Function Graphs

Function Graphs

Function Graphs

Function Graphs

Function Graphs

Function Graphs

Function Graphs

Determine whether the following functions are even, odd, or neither even nor odd. Function Graphs

One of the skills you will be learning in this course is the ability to take a description of a real – world occurrence, and translate it into mathematics. Conversely, given a mathematical description of a phenomenon, you will learn how to describe what is happening in plain language. Here are four graphs of temperature versus time and three stories, match the stories with the graphs. When finished, write a similar story that would correspond to the final graph. Exploration

Exploration

Function Graphs Homework 1.3 Graphs of Functions pg. 37 – 41 13,15,19,20,31,34,51,54,55,76,83,85 Function Graphs