Question

Help? Question attached--graphing and finding domain. Need a mathematical explanation step by step. :)

Answer 1

hey..
two options : if you know how the graph of x^(1/2) looks like
it will be the same just negative and shifted to the left by one unit

Answer 2

second method : plug different values for x and you will get f(x) then draw those points on

Answer 3

each method will give you the graph eventually.. the first one will be easier

but we can do the two of them so you will learn

Answer 4

this is the graph of x^(1/2)

the graph of - (x+1)^(1/2) will be the negative of this graph (like putting a mirror along the x axis .. you see a mirror image)
and if will be shifted one unit to the left since you have x+1

Answer 5

i say easy - you might prefer the other method ..
the other method is just plugging values of x
for example x = 0 gives you y = -1
x = 3 y = -2
x = -1 y = 0
mark those points on your paper and then connect them with a curve

Answer 6

yes.. you take some values for x and get the corresponding values of f(x)

then you have dots with coordinates (x,f(x))

Answer 7

ok lets choose x = 0
plug it into f(x)
so : f(0) = - (0+1)^(1/2) = - (1)^(1/2) = -1

so we have the point (0,-1)

lets choose x = 3
plug it into f(x)
so : f(3) = -(3+1)^(1/2) = - (4)^(1/2) = -2

take for example x = -1 what do you get ?

Answer 8

no, f(-1) = - (-1+1)^(1/2) = 0

Answer 9

so you have the points : (0,-1) , (3,-2) , (-1,0)