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
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AuthorHello, My name is Kaitlin and this is my blog. Archives
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