F(1) = 6.27
f(3) = -2.14
f(7) = 16.49
Notice that the function is changing sign between x=1 and x=3, so there must exist a zero in the interval [1,3] by intermediate value theorem.
For the same reason there must exist another zero in the interval [3, 7].
That means f(x) must have at least two zeroes.