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QUESTION IMAGE

non-linear graphs graphs line: y = mx + b parabola: y = x² cubic : y = …

Question

non-linear graphs
graphs
line: y = mx + b
parabola: y = x²
cubic : y = x³
absolute value y = |x|

Explanation:

Step1: Identify the graph's shape

The graph has a V - shape, which is characteristic of an absolute value function.

Step2: Match with given functions

Among the given functions (line: \(y = mx + b\) (linear, straight line), parabola: \(y=x^{2}\) (U - shaped), cubic: \(y = x^{3}\) (S - shaped with inflection), absolute value: \(y=|x|\) (V - shaped)), the V - shaped graph matches the absolute value function \(y = |x|\) (or a transformation of it, here shifted, but the basic shape is absolute value).

Answer:

The graph represents the absolute value function (\(y = |x|\) or its transformation).