In order to find which equations intersect the graph of y = 2^x in the interval 0 < x < 1, let's sketch each function in the same coordinate plane (in blue, the function y = 2^x, in green the other function):
A.
These functions intersect in a value of x between 0 and 1, so option A. is correct.
B.
These functions intersect in a value of x between 0 and 1, so option B. is correct.
C.
These functions intersect in a value of x between 0 and 1, so option C. is correct.
D.
These functions don't intersect in a value of x between 0 and 1, so option C. is incorrect.
E.
These functions intersect in a value of x between 0 and 1, so option E. is correct.
The correct options are A, B, C and E.
