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i know the answer i just need to know how to do it please
I think a quick way to get the answer is to notice that the slope of f(x) = 2x + 4 is 2, while the slope of f(x) = -2x + 4 is -2. Since f(x) = |2x| + 4 is basically a composite of these functions, the new f(x) is either increasing with slope 2 or decreasing with slope -2. To have a new linear function g(x) that is sure to intersect this function, the linear function has to be even steeper than this function, i.e. slope < -2 or slope > +2. Of your five choices, the only one meeting this requirement is E.
you copy and pasted this
yea i did
thats not helpful
well i believe that explains pretty well
i dont get it
i dont see what else i can add
the slope of a line tells you how "steep" it is. if the slope is a big number, it would be harder to walk up it. from your graph |dw:1442413792486:dw| we should get the idea that some lines are too flat to ever intersect (meet) the red line
if that makes sense, then the next step is to figure out what is "too flat" or how steep does the line have to be ? we know that lines with the same slope are parallel to each other parallel means they never meet. y= |2x| +4 for x>=0 we can drop the | | (they make the inside positive, but for x>0 it already is positives so the absolute value does nothing) so for x>=0 y= 2x+4 any line with a slope of 2 will be parallel to this line. Choice C is C. g(x)= 2x-2 that has slope =2. so that line never meets the y=2x+4 line choices A and B have slopes of 1 and their y-intercepts are below the line in the graph. so those lines have a slope that is too flat. only choice D has a steep slope = 3 that is bigger than 2
hmmmm this is pretty difficult but I think i kinda get it now
what part is fuzzy?
The part about the steepness of the slope and what it has to do with the given answers.
do you have paper and a ruler? draw a V shape like in your graph. now put the ruler below the V and draw a "flat line" If you do that, you should see that the flat line will not meet the V now make the ruler a little more steep , and draw another line if you keep doing that, at some point, the line you draw will meet the V
oh wait i re-read your explanation up there a couple times and now i got it lolol
once you get the idea, you next need to look at an equation of a line and see which equation has a slope bigger than 2 (which is the slope of the V)
Yea I see now why it's choice D. Thanks phi you're the best!