Advanced MathEasy–MediumBehaviour of an exponential as x decreases
Advanced Math practice question
In the xy-plane, which of the following describes the graph of y = 2ˣ as x decreases without bound?
- A. y gets closer and closer to 0 but never reaches it.Correct
- B. y becomes negative.
- C. y gets closer and closer to 2.
- D. y increases without bound.
Answer: A. y gets closer and closer to 0 but never reaches it.
2ˣ is always positive and shrinks toward 0 as x becomes very negative.
Why the other answers are wrong
- B. y becomes negative.
- 2ˣ is never negative.
- C. y gets closer and closer to 2.
- 2 is the base, not a limit.
- D. y increases without bound.
- That is what happens as x increases.
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