What conclusion can be based on the given statement?
2 answers:
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So, this question is basically asking us "If we had an x instead of a 2, would this be true?" We can try and see what we get:
So, if we want to show this we have to change the numerator or denominator in such a way that we can cancel some common factors. Notice that
If we replace the factored numerator with the original one, we get:
Since we have an equality, this relation is proved.
Check the picture below.
is it even? well, even functions use the y-axis as a mirror, so a pre-image on the right-side, will be a mirror of the image on the left-side, but in this case it isn't so, if you put a mirror right on the y-axis, the left-side will look a bit different.
does it have a zero at x = 0? well, just look at the graph, is the line touching the x-axis at 0? nope.
does it have an asymptote at 0? well, surely you can see it right there.
is it even? well, even functions use the y-axis as a mirror, so a pre-image on the right-side, will be a mirror of the image on the left-side, but in this case it isn't so, if you put a mirror right on the y-axis, the left-side will look a bit different.
does it have a zero at x = 0? well, just look at the graph, is the line touching the x-axis at 0? nope.
does it have an asymptote at 0? well, surely you can see it right there.