Algebra-1

Question Analysis
This question involves analyzing a function’s behavior using tabular data. The main focus is on determining if the relationship between x and y is linear or non - linear by checking consistency of y - changes for a constant x - increment.

Key Concept Explanation
Linear Relationship: When x increases by a constant amount, y must change by a constant amount (i.e., constant slope). Mathematically, for linear ,  (fixed  → fixed ).
Non - linear Relationship: If y - changes are not constant for a fixed , the relationship bends (e.g., quadratic, exponential), so it is non - linear.

Step-by-step Solution
1. Identify : x increases by 2 each time (, , etc.).
2. Calculate :
From  to : 

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