Question

Chose the functions whose graph is given by ​

Answer 1

Answer: D

Explanation:

Evaluating the functions at x = 0,

A) y = -cos(0) + 2 = -1 + 2 = 1

B) y = cos(0) + 2 = 1 + 2 = 3

C) y = -sin(0) + 2 = 0 + 2 = 2

D) y = sin(0) +2 = 0 + 2 = 2.

Now, we just need to determine if it is C or D.

Since after x=0, the graph increases then decreases, we know the coefficient of sin x must be positive, and thus the answer is D.