Question

what is the domain of this function? graph of a piece - wise linear function with a grid. the left part is a line going from the top left towards a vertex near x = -1, y = 1 (approx), and the right part is a line starting from the vertex and going up to the top right. the y - axis is labeled from - 10 to 10 and the x - axis is labeled from - 10 to 10 with grid lines.

Explanation:

Step1: Understand domain definition

Domain is all possible \( x \)-values of a function.

Step2: Analyze the graph's \( x \)-range

The graph extends infinitely left (toward \( -\infty \)) and infinitely right (toward \( +\infty \)) as seen from the arrows on the ends. So there's no restriction on \( x \)-values.

Answer:

All real numbers, or in interval notation \( (-\infty, \infty) \)