Question

what is the domain of the function? enter your answer in inequality notation. be careful about ≤ vs. < and ≥ vs. > *click on the points to reveal the coordinates!

Explanation:

Step1: Identify the leftmost and rightmost x - values

The leftmost point of the function is at \( x=-5 \) (a closed dot, so \( x = - 5 \) is included) and the rightmost point is at \( x = 10 \) (an open dot, so \( x=10 \) is not included).

Step2: Determine the domain inequality

The domain of a function is the set of all possible \( x \) - values. Since the function starts at \( x=-5 \) (inclusive) and goes up to but does not include \( x = 10 \), the domain in inequality notation is \( - 5\leq x<10 \).

Answer:

\( -5\leq x < 10 \)