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)

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 class=

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Answer:

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

Step-by-step 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

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Answer:

A) y = sin(x) + 1

Step-by-step 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

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