what is the range of the function graphed below?\na. $-\\infty < y < 2$\nb. $-\\infty < y < \\infty$\nc. $-2…
what is the range of the function graphed below?\na. $-\\infty < y < 2$\nb. $-\\infty < y < \\infty$\nc. $-2 < y < \\infty$\nd. $-\\infty < y < -2$
Answer
Explanation:
Step1: Define range of a function
The range is all possible $y$-values the function takes.
Step2: Analyze the graph's y-values
The graph has an open endpoint at $y=2$, and extends downward infinitely (towards $-\infty$). So $y$ is less than 2, with no lower bound.
Answer:
A. $-\infty < y < 2$