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  3. please do 262 and give explanation for each step please...

Question: please do 262 and give explanation for each step please...

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Lesson 2B: Graphing Functions The Ubiquitous Quadratic Function The quadratic function f (x)-ax+bx +c can certainly be said to be present everywhere in secondary mathematics curriculum. It is likely to be the function that you would investigate the most with your students if you were a secondary mathematics teacher of various levels of mathematics. Because of this fact, we will explore some of interesting properties of this function throughout this course Using Mathematica to Visualize a Function The following two commands in a Mathematica Notebook, when evaluated, will produce a graph of the function defined. Try it out. fun[x ]:-xA2-x-4 15 Plot[fun[x],(x,-4,4)] 10 You should get the following graphical output on the right when you evaluate the notebook -2 Exploration 2.6: Graphing Functions in Mathematica 2.6.1. In a Mathematica Notebook (or using Wolfram Alpha online), try defining a few different quadratic functions. You can give them different names; a single letter suffices, say f. For each function you define, graph it and determine where it crosses the x-axis. These will be real roots of the equation f(x)-0. By restricting the domain of the function in the Plot command, see if you can estimate real roots to two decimal places. 2.6.2. Repeat Exploration 2.6.1 for a couple of other functions of your choice. These could be higher degree polynomials, rational functions, or use special functions in Mathematica such as the exponential function or trigonometric functions. The idea is to learn how to use Mathematica to visualize functions through plotting their graphs

please do 2.6.2

and give explanation for each step please

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