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Youㅤ
Knowledge Knight, Fact Fight, High IQ Insight
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they say the domain here is (-infinity, infinity)
the parenthesizes imply that the graph never reaches infinity (as opposed to the brackets "[ ]" )
well it never reaches infinity because infinity is not a real number? wrong. it never reaches infinity because the slope increases at an increasing rate, and so the closer that x gets to infinity the more the rate slows down.
because the domain does not include infinity, infinity can never be plugged in to x, and thus the range cannot reach infinity either, and thus the range is (0, infinity) with parentheses.
however, should linear graphs include infinity? yes or no, and why?