Answer:
Explanation:
The natural domain of the function y = 300tan(x) is the set of all real numbers x such that the tangent function is defined. The tangent function is defined for all real numbers except for odd multiples of pi/2, because the tangent function has vertical asymptotes at these values.
Therefore, the natural domain of the function y = 300tan(x) is the set of all real numbers x such that x is not equal to (n + 1/2)π for any integer n.
In interval notation, we can write the natural domain as:
(-∞, (n + 1/2)π) U ((n + 1/2)π, ∞)
where n is any integer.
The range of the function y = 300tan(x) is the set of all possible values of y that the function can produce. The tangent function has a range of all real numbers, so the range of y = 300tan(x) is also all real numbers.
In interval notation, we can write the range as:
(-∞, ∞)