(1 point)
Responses
domain:negative infinity less than x less than infinity
range: negative infinity less than y less than infinity comma y not equals Start Fraction pi over 2 End Fraction plus n pi, where n is an integer
domain: Image with alt text: negative infinity less than x less than infinity range: Image with alt text: negative infinity less than y less than infinity comma y not equals Start Fraction pi over 2 End Fraction plus n pi , where n is an integer
domain: negative infinity less than x less than infinity
range: negative infinity less than y less than infinity comma y not equals n pi, where n is an integer
domain: Image with alt text: negative infinity less than x less than infinity range: Image with alt text: negative infinity less than y less than infinity comma y not equals n pi , where n is an integer
domain: negative infinity less than x less than infinity comma x not equals Start Fraction pi over 2 End Fraction plus n pi, where n is an integer
range: negative infinity less than y less than infinity
domain: Image with alt text: negative infinity less than x less than infinity comma x not equals Start Fraction pi over 2 End Fraction plus n pi , where n is an integer range: Image with alt text: negative infinity less than y less than infinity
domain: negative infinity less than x less than infinity comma x not equals n pi, where n is an integer
range: negative infinity less than y less than infinity
1 answer
The correct representation of the domain and range of the function \( y = \tan x \) is:
Domain: \( x \in (-\infty, \infty) \) except for \( x = \frac{\pi}{2} + n\pi \), where \( n \) is an integer.
Range: \( y \in (-\infty, \infty) \)
So the most appropriate option is:
domain: \( x \in (-\infty, \infty) \), \( x \neq \frac{\pi}{2} + n\pi \), \( n \) is an integer
range: \( y \in (-\infty, \infty) \)
