Consider the following function.
Consider the following function. \[k(x) = -2x^{5}\] Find two points on the graph of this function, other than the origin, that fit within the given [−10,10] by [−10,10] grid. Express each coordinate as an integer or simplified fraction, or round to four decimal places as necessary.
Enter the coordinates to plot points on the graph. A: ( , ) B: ( , )
@tranquility
If you type the function into desmos.... then find which coordinate points fit in the [-10,10] and [-10,10] grid
@Vocaloid @Tranquility
Just pick a number and replace it with x and solve.
4
-4x^5
It's not rocket science
Pick a number Plug it in SImplify it
okay i just want to make sure i have the right number based from your judgement , that's all
That was not right at all
You just have to choose any number between -10 and 10 and as long as it gives you a y-value that's between -10 and 10, you can plot it on your graph. I would suggest choosing small numbers like -2, -1, 1, or 2
okay , -1
now
plug it in... -2x^5 replace x with -1 and simplify.....
-1x^5
-x^5
not at all
replace x with -1 it's simple -2 * (-1)^5 How difficult is that?
i'm sorry i'm not good at math at first to put it together , my apologizes
2
Good. Now this number that you just got it is the y-value. The number you plugged in... which was -1... is the x-value okay? How do you write an ordered pair? (x, y) x value first y value second what did we say the x-value was? -1 what is the y-value of the point on the graph at x = -1 it's 2 so how do you write the point? (-1, 2) Do you get it?
All you have to do now is pick another number for x and solve it
i see, i get it so far
-2
-2 * (-2)^5 am i right
simplify it now
actually -2 wouldn't work because you'll be getting a number larger than 10 so you probably should just use 1
Because your question states that it needs to fit on the -10 to 10 grid with x = -2, you get y = 64 and 64 is waaaay above 10|dw:1636868717772:dw| so -2 would not work for an answer
-2 * (1)^5
And simplify it
-2
How would you write the point for that?
-2, 2
No. You plugged in 1. 1 is the x-coordinate. -2 is the y-coordinate
|dw:1636869198461:dw| this is the x-axis
|dw:1636869223398:dw| this is the y-axis
Alright
oh i get a little bit now
(1, -2)
Yes so your final answer is (-1, 2) and (1, -2)
okay thank you tran
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