julz338
04.07.2019 •
Mathematics
Does a monomail function always, sometimes, or never pass through (0,0)? explain your choice thoroughly. does a power function always, sometimes, or never pass through (0,0)? explain your choice thoroughly.
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Ответ:
See below.
First One: sometimes
Second one: yes if r>0 No if r < 0
Step-by-step explanation:
H! Very interesting question. We need 2 things.
We need a monomial We need it to be a functionSo y = x^2 is a function and passes through 0,0. Looking good.
y = x^3 is a function and it goes through 0,0 still looking good.
and y = x is both as well and it goes through 0,0. Are there any exceptions?
How about y = 4. It's a function. OH - OH. it does not go through 0,0
So the best choice is most of the time. I like most of the time better than sometimes, because there is only that one exception y = a.
y = a*(x^r). That's a power function. It is a monomial.
Be careful with this. If r>0 then all is good. 0,0 is a solution because x can = 0.
You get into trouble when r<0
y = a * 1/x^r Now when x = 0 the solution is undefined. So as long as r>0 then 0,0 is a solution and the answer is sometimes. Nasty!
Ответ:
x = -7
Step-by-step explanation:
8x - 2(+2)= -9(+2)+ 7x
8x(-7x) = -7 +7x(-7x)
x = -7