What is the domain of f(x) = cos(x)?
2 answers:
Option D: The set of all real numbers
Explanation:
Given that the function
We need to determine the domain of the function.
The domain of the function is the set of all input values for which the function is real and well defined.
In other words, the domain of the function is the set of all independent x - values of the function.
Thus, the function cos (x) is real and well defined in the interval
Hence, the function cos (x) is real and well defined for all real numbers.
Therefore, the domain of the function is the set of all real numbers.
Hence, Option D is the correct answer.
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Answer:
Domain: (-infinity, +infinity) since you can pick any x values.
Range: [0, +infinity) since it does not go below the x axis.
Step-by-step explanation:
The graph is a parabola given by
lets pick a few x values:
x = 1 gives us y = 1^2, which = 1
x = -1 gives us y = (-1)^2, which = 1
The parabola's domain is any x value as it extends to infinity.
For its range, you can see that it does not go below the x axis at x = 0. Therefore, the range of the parabola is from [0, infinity]