Question

Compare the following functions:

f(x) = 2 sin(2x − π) + 2

g(x)
graph of a quadratic with points at 1, 2 and 3, negative 2 and 5, 2

h(x)
x y
−2 10
−1 7
0 5
1 3
2 5
3 7
4 10


Which function has the smallest minimum?

Answer 1

C). g(x)

Explanation:

Answer 2

The function f(x) has a minimum value of
2(-1)+2 = 0

The function g(x) has a minimum value of g(3) = -2

The function h(x) has a minimum value of h(1) = 3

Of the minimum values 0, -2, 3, the least is -2, corresponding to g(x).