Question

The function f(x)=-3 cos(2x+pi/4) has ___

Answer 1

The domain will be ( 0, ∞) and the range of the function F(x) = -3Cos[2x+$\dfrac{\pi}{4}$] will be [$\dfrac{-\pi}{8}$ , -3 ] and [ $\dfrac{3\pi}{8}$,3].

What are domain and range?

Range and Domain. The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.

The range of the function we can see from the graph of the function will be from  [$\dfrac{-\pi}{8}$ , -3 ] and  [ $\dfrac{3\pi}{8}$,3]

The domain of the function will be all the values of the real numbers for the function ranges from  ( 0, ∞ ).

Therefore the domain will be ( 0, ∞) and the range of the function F(x) = -3Cos[2x+$\dfrac{\pi}{4}$] will be [$\dfrac{-\pi}{8}$ , -3 ] and [ $\dfrac{3\pi}{8}$,3].

The complete question is given below:-

what is the domain and range of the function

F(x) = -3Cos[2x+$\dfrac{\pi}{4}$] .

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