Question

The graph of a function is shown. Which function is graphed?

A) y = sin (x) + 1

B) y = sin (x + 1)

C) y = cos (x) + 1

D) y = cos (x + 1)

Answer 1

A) y = sin(x) + 1

Explanation:

It is a graph of sine. The period of sine is the same as the function in the graph (2π).

The graph of sine has been moved one unit up.

We know:

f(x) + n - move the graph n units up

f(x) - n - move the graph n units down

f(x + n) - move the graph n units to the left

f(x - n) - move the graph n units to the right

Therefore your answer is A) y = sin(x) + 1

Answer 2

Correct answer is: A) y = sin (x) + 1

Explanation:

Range for function y = sin (x) is -1 ≤ sin (x) ≤ 1

In this case function is going up for 1 and this is shown on the graph.

Range for given function is 0 ≤ sin (x) + 1 ≤ 2

God with you!!!