Domain is the set of all x-values Range is the set of all y-values To find the y-intercept on the graphing calculator; hit Trace, type 0, and hit Enter. The answer will then come up onto the screen. To find the x-intercept(s) on the graphing calculator; hit 2nd Trace, choose option 2:Zero, then move you cursor left of one x-intercept and hit Enter, then move your cursor right of one x-intercept and hit Enter, then make you guess as to where the x-intercept is and hit Enter once more. The answer will then come up onto the screen. Repeat as needed for other x-intercepts. To calculate minimums on the graphing calculator; hit 2nd Trace, choose option 3:minimum, move your cursor left of the turning point and hit Enter, move your cursor right of the turning point and hit Enter, and hit Enter once more. The answer to what the minimum is will show up on the screen. To calculate maximums on the graphing calculator; hit 2nd Trace, choose option 4:maximum, move your cursor left of the turning point and hit Enter, move your cursor right of the turning point and hit Enter, and hit Enter once more. The answer to what the maximum is will show up on the screen. To find the intersection point of two functions type them into Y=, then hit Graph, then click 2nd Trace, then choose 5:intersect, Click Enter 2 times, then get your cursor close to the intersection point and hit Enter one last time. The intersection point should then show up on your screen. To view the table of a function click Graph first, then click 2nd Graph. Now you will be able to see a table of that graph/function. To view a split screen of the table and the graph of a function you need to; hit Mode, scroll down to where is says FULL, then click the arrow over to the Graph-Table and hit Enter on it. Then click the Graph button to see the split screen. To move on the table and see those values click Trace. To move on the graph instead click 2nd Graph. Sometimes the graphing calculator gives you error messages, to avoid this make sure that all of your negative numbers have the negative sign instead of the subtraction sign. This can be easy to mess up, so just double check you got the whole equation written into the calculator the right way.
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Lately on Desmos we have been working with functions and "parent functions". Parent functions are the starting point of all other equations you could make using these as a place to base your function on. The functions we have learned about are: f(x)=x f(x)=x^2 f(x)=x^3 f(x)=|x| f(x)=√x To make a function move up or down you just need to add or subtact the number away from the origin it is from the function. You need to do this OUTSIDE the parent. Here are 2 examples of this for each function: y=|x|+2 y=x^2+2 y=√x +2 y=x^3+2 y=x+2 .....To move UP y=|x|-2 y=x^2-2 y=√x -2 y=x^3-2 y=x-2 ..... To move DOWN To make a function move left or right you just need to add or subtract the number away from the origin it is from the function. You need to do this INSIDE the parent. Also, take note of "left right lies" To move left you add, and to move right you subtract. Here are 2 examples of this for each function: y=|x+2| y=(x+2)^2 y=√(x+2) y=(x+2)^3 y=(x+2) ..... To move LEFT y=|x-2| y=(x-2)^2 y=√(x-2) y=(x-2)^3 y=(x-2) ...... To move RIGHT To make a function steeper or less steep you need to multiply. To make it steeper you multiply by a number greater than 1. To make it less steep you multiply by a number between 0 and 1. Here are 2 examples of this using the y=x parent: y=2x.....STEEPER y=.25x.......LESS STEEP Now as a final example I will show you how to make a V shape steeper, left 2 and down 4. You start with the parent function y=|x| because this function makes the shape of a V. Then to make it steep you multiply the X by 4 let's say. Then to go left 2 you need to add 2 inside the absolute value lines. Finally to go down 4 you need to subtract 4 from the outside of the absolute value lines. Your equation should come out like this and the graph that goes with this equation looks like this: y=4|x+2|-4
desmos.com Desmos is a free website that is a graphing calculator. In this I will tell you how to do some of the things Desmos offers. When you get to desmos it will look like this: To make an equation into a table, you need to first type your equation into the left side area. Then click on the gear that is in the top right hand corner of the typing area, then click the symbol that looks like a table after this to create your table. Then you can edit the table as you need to. To find an intersection point find where the two line intersect, click on your graphed line at that point, then read the coordinates. To send a screenshot you will need to make an account. I did so by connecting desmos to my google account. Once you've done this you click on the green button to the right at the top. This will then open up like so: You can choose any way to share it but if you select image it will open a new tab where you can download the screenshot of your graph and email it, share it, or save it to your computer.
In Algebra Lab and we learned how to use gmath. Gmath is a program that allows you to create math expressions/equations with graphs, handwriting, speaking, and typing. To add gmath to your computer you will need to create a google doc, scroll over add-ons, put your mouse over g(math), then select create math expressions. Then you will will be able to get the program running, a tutorial will also come up; watch it! Next once you have typed an expression or equation you press the button to the left that looks like this: To use the handwriting option go back to add-ons, scroll over g(math) and then select create a handwriting entry. Then a new window will pop up, here you can write with your mouse to create a math expression or equation.
If you would like to use factions, exponents, etc. in your math equation go back to create math expressions, click advanced, then click the icon that shows x^a this will then give you a bunch of options to choose from. This is how to add these by typing and not talking through the microphone or handwriting it. In order to create a graph you will need to once again scroll over add-ons, click g(math), and select create a graph. Now from here type your equation/expression into the box that says functions. After this feel free to change your graph zoom region as you wish, and then click insert to doc when you are ready. In my personal opinion I think gmath will be very helpful to me in the future especially since Chromebooks are being used more and more in the classroom. It is easy to use (except for the microphone part), and it makes writing expressions/equations on the computer a breeze. |
AuthorHello, My name is Kaitlin and this is my blog. Archives
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