To determine the domain of a function, we need to identify all possible values of the independent variable that the function can take on.
In this case, the domain of the function is given by the values of x that satisfy the given condition(s).
From the options provided, the correct answer is 2 < x < 6.
This is because the inequality 2 < x < 6 indicates that x can take on any value greater than 2 and less than 6. The inequality is strict, meaning that x cannot equal 2 or 6.
The option © 2 <= x <= 6 is incorrect because it includes the endpoints 2 and 6, which are not allowed by the given conditions. The open point at the end of the interval, as indicated by the inequality symbols (< and >), means that the values of x cannot equal the specified endpoints.
#4.
What is the domain of this function? (Consider: How do you think the open point affects the domain?)
2 <= x < 6
x > 2
2 < x < 6
© 2 <= x <= 6
2 < x < 6
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1 answer