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ILE Posted 15 years ago
Grammar

Notice that the graph of y increases/increasing without bound when x approaches negative infinity.

I'm talking about the end behaviour of the graph of an exponential function.

So I'm saying this, "Notice that the graph of y increases/increasing without bound when x approaches negative infinity."

I suspect that both would work in this case. Is that true?

Isabelle
  

Top answer

Notice that the graph of y increases without bound when x approaches negative infinity. Notice the graph of y increasing without bound when x approaches negative infinity.

  • Notice that the graph of y increases without bound when x approaches negative infinity.
  • Notice the graph of y increasing without bound when x approaches negative infinity.
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11 Answers
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Notice that the graph of y increases without bound when x approaches negative infinity.

Notice the graph of y increasing without bound when x approaches negative infinity.
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Thanks, Anonymous. But to me it's still hard to see why this should be so...Emotion: thinking

Isabelle
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English is a strange language so don't feel too bad. Perhaps a real English grammar person can chime in.

........btw, if you have an exponential function f(x) = exp (kx) where k=constant> 0, doesn't the function go to 0 at negative infinity and to positive infinity when x approaches positive infinity?
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All right!

And about your remark "if you have an exponential function f(x) = exp (kx) where k=constant> 0, doesn't the function go to 0 at negative infinity and to positive infinity when x approaches positive infinity", as x approaches negative infinity, I'm afraid the function only tends to zero but not actually reaching the zero value, this graph m
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Yes, sloppy writing on my part.......y approaches 0 as x approaches negative affinity. My main point is that this is opposite from your original statement "Notice that the graph of y increases/increasing without bound when x approaches negative infinity." In your statement, shouldn't the negative be positive in

your statement?
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I see. In my first post, I meant any exponential function with negative power, Emotion: smile.

Isabelle
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Notice that the graph of y increases without bound when x approaches negative infinity.

You need 'increases', as shown.

It's not the graph of y that increases, by the way. It's y (as a function of x) that increases.The graph itself is a static picture of the function, and it doesn't do anything. It doesn't incr
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Emotion: smile Thanks for the explanation, I'd say the most powerful and"animated" explanation!!! The p
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"The penny finally dropped"
It's a perfect use of the idiom.
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ILEIs it "The penny is finally dropped", "The penny has dropped" or "The penny finally dropped" that is correct?
Not 'is'. With or without 'has'. The penny has finally dropped. By the way, I believe this is chiefly British. It may be met with vacant stares in the U.S.

CJ

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