Question

Compare the functions shown below: f(x) = 4 sin (2x − π) − 1 g(x) is points and those points are (−1, 6) (0, 1) (1, −2) (2,−3) (3, −2) (4, 1) (5, 6) h(x) = (x − 2)2 + 4 Which function has the smallest minimum y-value?

Answer 1

f(x) wins. The sine has an amplitude of 4, and 1 is subtracted, so the minimum y value is -5. g(x) is never smaller than -3, and h(x) is always positive!