Question 665640: Hello!
How do I find the x and y intercepts of a constant line, f(x)=b, at the points (-2,B) (-1,B) (0,B) (1,B) (2,B) with a domain of (-infinity,+infinity), and no endpoints? I know you substitute x and y for zero but this has me stuck.
Oh! Also would the range be written like, {y|y=2} [y|y=2] or (y|y=2), in other words a curly bracket, parenthesis, or brackets? Sorry it's 2 questions but I'm really stuck!
Thanks so much!
-Hannah
Answer by DrBeeee(684)   (Show Source):
You can put this solution on YOUR website! Hi Hannah;
You are given the straight line
(1) y = b which is a horizontal line that intersects the y axis at the point (0,b).
Since it is horizontal it is parallel to the x-axis. What do you know about parallel lines? They're just like railroad tracks, they never cross or intersect. So the line of (1) does NOT have any x-intercept. Unless b = 0, y is never zero, y is INDEPENDENT of x. See the points you are given? No matter what value x has, y is always equal to b.
As to your second question, I'm not too good at that sort of thing, but I would use
(2) range = {y|y = b}
PS You're not my Hannah Banana from St. Mary's are you?
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