what is the range of the absolute value function below?\n$f(x) \\geq -4$\n$f(x) \\geq -1$\n$f(x) \\leq…

what is the range of the absolute value function below?\n$f(x) \\geq -4$\n$f(x) \\geq -1$\n$f(x) \\leq 1$\n$f(x) \\leq 4$

what is the range of the absolute value function below?\n$f(x) \\geq -4$\n$f(x) \\geq -1$\n$f(x) \\leq 1$\n$f(x) \\leq 4$

Answer

Explanation:

Step1: Identify the vertex of the graph

The vertex (highest point) of the absolute value graph is at $(4, 1)$.

Step2: Determine the range direction

The graph opens downward, so all $y$-values are less than or equal to the $y$-coordinate of the vertex.

Answer:

f(x) ≤ 1