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How do you find the domain and range of #f(x)=cosx+1#?

Answer 1

graph{cos x + 1 [-5, 5, 10, -10]}

Upon graphing the function, one can observe that the range encompasses all values between 0 and 2, inclusive, and the domain comprises all real numbers.

D: #(-oo,oo)# R: #[0,2]#

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Answer 2

Nathan Axel

The domain of f(x) = cos(x) + 1 is all real numbers, since cosine function is defined for all real numbers, and adding 1 does not affect its domain.

The range of f(x) = cos(x) + 1 is from 0 to 2, inclusive. This is because the range of the cosine function is from -1 to 1, and adding 1 to this range shifts it up by 1 unit, resulting in a range from 0 to 2.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.