(1/2)to the power of -1. How would I graph y=(1/2)to the power of -1, -2, -3, etc.
2007-09-30 17:20:39 · 8 answers · asked by The Calculus Alchemist 6 in Science & Mathematics ➔ Mathematics
I MEANT EASY FOR YOU PEOPLE.
2007-09-30 17:38:43 · update #1
y = (1/2)^(-1) = 1 / (1/2) = 2
y = (1/2)^(-2) = 1 / (1/2)² = 1 / (1/4) = 4
y = (1/2)^(-3) = 1 / (1/3)² = 1 / (1/9) = 9
y = 2 is a horizontal line thro (0,2)
y = 4 """"""""""""""""""""""(0,4)
y = 9"""""""""""""""""""""(0,9)
2007-09-30 20:06:35 · answer #1 · answered by Como 7 · 1⤊ 0⤋
ok so y = 1/2 is simply a constant so it is a line of y=1/2 at every x, so it is parallel to the x axis ok. so when you take 1/2 to the power or -1 it becomes y=2, then when you take it to the power of -2, it becomes y=4, then with -3 as a pwer it becomes, y= 8 and so on. so it is a bunch of horizontal lines,
if you have (1/2)^-1(or any negative number) what happens is the number that is being put to the negative power, you can takes its reciprical, which means for example, the reciprical of 8 is 1/8 the reciprical of 5 is 1/5, the reciprical of 1/2 is 2. so you take the reciprical of its positive power. so in the case of (1/2)^-3 you take 1/(1/2)^3 = 1/1/8 = 8
2007-10-01 00:35:49 · answer #2 · answered by LeonardoDaVinci 2 · 0⤊ 1⤋
Just graph y = 2^1, 2^2, 2^3 etc
It would be an exponentially rising curve
.
2007-10-01 00:27:03 · answer #3 · answered by tsr21 6 · 0⤊ 0⤋
Saying x is raised to -n is the same as saying the reciprocal of x raised to the n.
So, (1/2)^-1 = 1/(1/2) = 2
(1/2)^-2 = 1/(1/2)^2 = 1/(1/4) = 4
etc.
2007-10-01 00:26:17 · answer #4 · answered by jruzzy 2 · 0⤊ 0⤋
Remember, there is no x value in any of these lines - so you have a horizontal line!
y = (1/2)^(-1)
remember your index laws! x^(-a) = 1/(x^a)
so, 1/2 = 2^(-1)
y = (2^(-1))^(-1)
Index law: (a^x)^y = a^xy
so y = 2^1
the pattern continues with the negatives cancelling every time, but the number remaining. you will get:
for y = (1/2)^(-2)
y= 2^2
=4
next comes 2^3, 2^4, etc. All horizontal lines.
2007-10-01 00:32:12 · answer #5 · answered by mevelyn2551 3 · 0⤊ 1⤋
it is very easy.
the negative exponent means you should "flip" the fraction.
e.g. (1/2)^(-2) where " ^ " means "to the power of" is equal to (2)^(2) which is simply 4.
i'm sure you can graph y = 4.
2007-10-01 00:26:30 · answer #6 · answered by John H 4 · 0⤊ 0⤋
Please solve this math problem? It is very easy!!!?
It is very easy!!!?
assuming this is very easy as your claim says. then go on and do it.
2007-10-01 00:25:18 · answer #7 · answered by Anonymous · 0⤊ 2⤋
well you said it was easy
so dooo it
2007-10-01 00:30:21 · answer #8 · answered by natalie 4 · 0⤊ 1⤋