Question

fix the inequality below to correctly show the domain of the function.
*click on the points to reveal the coordinates!
the coordinates of the points are (-1.5, 1.75) and (1, 3)

Explanation:

Step1: Identify the leftmost and rightmost x - values

The leftmost point (with a closed dot) has an x - coordinate of \(-1.5\) (or \(-\frac{3}{2}\)), and the rightmost point (with an open dot) has an x - coordinate of \(1\).

Step2: Determine the domain inequality

For the domain, we consider the x - values. The closed dot at \(x=-1.5\) means \(-1.5\) is included, and the open dot at \(x = 1\) means \(1\) is not included. So the domain is \(-1.5\leq x<1\) (or \(-\frac{3}{2}\leq x<1\)).

Answer:

\(-1.5\leq x<1\) (or \(-\frac{3}{2}\leq x<1\))