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Question 919475: i am stuck on the following problem for my hw. included is a pic of the problem
http://imgur.com/TVCy90o
any help would be appreciated
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! your selections should be B, B, C.
selection B is for the equation which is:
f(x) = x + 2 when x <= -2
f(x) = 1 when x > -2.
the y-intercept of f(x) will be at 2 because that would be the value of y when x = 0.
that's why the equation is y = x + 2.
the general form is y = mx + b
the slope is m which is equal to 1.
the y-intercept of the equation is 2 even though the equation will never reach x = 0 because the equation stops at x = -2.
selection B is for the domain which is (-infinity,infinity)
there is no break at x = -2 because the first function takes you to -2 and the second function take you after x = -2.
Selection C is for the range which is (-infinity,0] union {1}
your range goes from - infinity and then stops at 0.
it then jumps to 1 and stays there.
you do not have any values of y between 0 and 1.
you do not have any values of y above 1.
http://imgur.com/TVCy90o
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