Question 1167310: Consider the following function f(x)=1-(x-1)^2
a. Graph the function from x=-1 to x=3
Answer by ikleyn(52781)   (Show Source):
You can put this solution on YOUR website! .
You give the value of -1 to x.
Then you calculate the corresponding value of the function f(x), using the formula.
Then you give other value 0 to x.
Then you calculate the corresponding value of the function f(x), using the formula.
Then you give other value 1 to x.
Then you calculate the corresponding value of the function f(x), using the formula.
And so on for x = 2 and 3.
You write the values of x into the left column of the table.
You write the calculated values of the function into the right column of the table.
In this way, you obtain the Table of values of the function, after repeating these steps several times.
It is the first part of the work.
Is everything clear to you in my description so far ?
Then the next stage comes.
You take a page of a graph paper and a pen (or a pencil).
You accurately mark every pair of numbers from your Table as a point on a graph paper.
Then you connect the plotted points, using your pen or pencil.
Is everything clear to you in this stage ? ?
If everything is clear, it means that FROM NOW you can complete this assignment (and many other similar assignments)
ON YOUR OWN, without asking for the help from outside.
Making plots is really a BASIC SKILL that every student must develop to the level sufficient to execute
similar assignments on his (or her) own, without asking for the help from outside.
You must know this technique as you know the multiplication table or the alphabet.
Plotting graphs of functions should be as easy to you as multiplying numbers in your head using the multiplication table.
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Another option is to find an appropriate WEB-site in the Internet with free of charge plotting tools and use them.
Use, for example, this site www.desmos.com/calculator
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