Question

Compare the functions shown below in the attachment:

Which function has the smallest minimum y-value?


f(x)
g(x)
h(x)
Both f(x) and g(x) have the same minimum y-value.

Answer 1

Yes maximum of f(x) is 7

For me f(x) = 7 g(x) = 3 h(x) = -2.

Answer 2

f(x) has the minimum y-value.

Explanation:

Minimum sine value is -1. When sin(2*x - pi) = -1, then f(x) = 4*(-1) - 1 = -5 .

From table minimum y-value for g(x) is -3.

Minimum x^2 value is 0. When (x - 2)^2 = 0, then h(x) = 0 + 4 = 4 .