Question
Which of the following is true about the exponential function y=2x ? (1 point) Responses It increases steadily for all values of x. It increases steadily for all values of x . It increases quickly as x increases. It increases quickly as x increases. It levels out for large values of x. It levels out for large values of x . It slowly grows for large values of x.
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GPT-4o mini
The correct statements about the exponential function \( y = 2^x \) are as follows:
1. **It increases steadily for all values of x** - This is true.
2. **It increases quickly as x increases** - This is also true, especially for larger values of \( x \).
3. **It levels out for large values of x** - This is false; exponential functions do not level out; they keep increasing.
4. **It slowly grows for large values of x** - This is false; it actually grows rapidly for large \( x \).
Thus, the two correct statements are "It increases steadily for all values of x" and "It increases quickly as x increases."
1. **It increases steadily for all values of x** - This is true.
2. **It increases quickly as x increases** - This is also true, especially for larger values of \( x \).
3. **It levels out for large values of x** - This is false; exponential functions do not level out; they keep increasing.
4. **It slowly grows for large values of x** - This is false; it actually grows rapidly for large \( x \).
Thus, the two correct statements are "It increases steadily for all values of x" and "It increases quickly as x increases."
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