Im horrible at math and I can't seem to pay attention in class because I get lost and then stop listening. usually my friends help me but they aren't here right now.
y< x+2 (in a cube root)
they want me to graph it. I dont know how to start. I know itll be complicated to explain but try your best.
2006-12-10 10:25:16 · 5 answers · asked by dreams 3 in Science & Mathematics ➔ Mathematics
This is not a particularly hard graph, the problem is designed to test whether you know how a standard 3rd root graph looks like and if you know how to shift (translate) the graph.
When you don't have a calculator that graphs - the best way is to make a table of values.
without a calculator, you have to start with easy cube roots.
table of values for y=x^1/3
(x , y)
(0,undefined)
(1,1)
(-1,-1)
(8,2)
(-8,-2)
(27,3)
(-27,-3)
try plotting each of these points so you'll get an idea of the shape of a standard 3rd root graph.
so for:
y=(x+2)^1/3
you'll need find which x values would make (x+2) one of the numbers that's easy to find the cube root like 27. try a couple until you see the shortcut to get the rest of them.
hopefully you've noticed a trend, all the x values for those easy roots are just 2 less than from that standard x value. If you compare the two side by side, all the plotted points for
y=(x+2)^1/3 is shifted to the left by two units.
so if you knew what the standard graph looks like, you draw the new one shifted base on this rule. sometimes the teacher doens't even need exact values as much as you label the points of interest - which way the graph is shifted, any undefined points and whether the graph approaches any limits.
The rule on the shift here is that y=(x+A)^1/3 +B
A shifts left and right, but B shifts up and down. Negative A shifts right, a negative B shifts down.
This principle will apply to other types of graphs... ask your teacher or classmates...
2006-12-10 12:00:06 · answer #1 · answered by Kshaw5 3 · 0⤊ 0⤋
I will assume that the formula is y is less than the cube root of (x+2)
The graph will then be the area under the line that crosses the X axis at a 45 degree angle going up to the right.
2006-12-10 10:37:38 · answer #2 · answered by anonimous 6 · 0⤊ 0⤋
I'm not exactly sure how to do that. And if i did, it would be to hard to explain over the internet. However, if you have a graphing calculator, I suggest you just try graphing it on there. And if you're in pre-calc without a graphing calculator...I would suggest buying one. Oh...and by the way...good luck.
2006-12-10 10:31:33 · answer #3 · answered by Carson Brooks 2 · 0⤊ 0⤋
Use the quadratic - get used to creating use of the quadratic - it gets used plenty greater desirable than you recognize. And its incredibly elementary to apply in any case rearrange the equation x^2 - ?3x - 5 = 0 a = a million, b = -?3x , c = -5
2016-10-05 03:36:20 · answer #4 · answered by ? 4 · 0⤊ 0⤋
http://z8.invisionfree.com/Urban_Teens/index.php
2006-12-10 10:26:06 · answer #5 · answered by Cutie992 1 · 0⤊ 0⤋