Question

what is the range of this function?
{y|y ≥ 0}
{y|y > -2}
{y|y ≥ 2}

Explanation:

Step1: Recall Range Definition

The range of a function is the set of all possible \( y \)-values (outputs) the function can take.

Step2: Analyze the Graph

The graph is a V - shaped graph (absolute - value - like) with its vertex at \( (1,0) \) (or around \( x = 1,y = 0 \)) and it extends upwards from there. The lowest point on the graph has a \( y \) - value of \( 0 \), and as \( x \) moves away from the vertex, \( y \) - values increase (go to positive numbers). So all the \( y \) - values of the function are greater than or equal to \( 0 \).

Answer:

\(\{y|y\geq0\}\)