SOLUTION: given that x^2+2x+1>0 , can i say that x^2+2x+1 is the y values of the graph?
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Question 967790
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given that x^2+2x+1>0 , can i say that x^2+2x+1 is the y values of the graph?
Answer by
Theo(13342)
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your equation is x^2 + 2x + 1 > 0
if you set your equation to y, then the equation becomes:
y = x^2 + 2x + 1
if x^2 + 2x + 1 > 0, then y > 0 as well because y = x^2 + 2x + 1.
you would graph y = x^2 + 2x + 1.
you would look for all values of y that are > 0.
the graph of your equation looks like this:
your graph touches the x-axis at x = -1.
that means that y = 0 when x = -1.
the solution to x^2 + 2x + 1 > 0 is all values of x except at x = -1.
this means that y > 0 at all values of x except at x = -1, because y = x^2 + 2x + 1.