#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

10

1 answer

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.