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.

1 answer

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."