Question

identify the range for the function, f(x).
$(-infty, infty)$
$(-infty, -2) cup (-2, 0) cup (0, infty)$
$(-2, infty)$
$-2, infty)$

Explanation:

Step1: Analyze the lowest y-value

Look at the graph: the open circle is at y=-2, meaning y=-2 is not included. All points have y-values greater than -2.

Step2: Analyze upper y-values

The graph extends upward infinitely, so y-values go to positive infinity.

Step3: Define the range

Combine the findings: y > -2, which in interval notation is $(-2, \infty)$.

Answer:

$(-2, \infty)$