Question

1. which of the following graphs show a linear function?

Explanation:

Step1: Recall linear function definition

A linear function graphs as a straight line, follows $y=mx+b$, where $m$ (slope) is constant.

Step2: Analyze each graph

• A: Curved line (non-constant slope, not linear)
• B: Straight line (constant slope, linear)
• C: Curved line (non-constant slope, not linear)
• D: Straight line (constant slope, linear)
• E: Straight horizontal line (slope $m=0$, fits $y=b$, linear)
• F: Fails vertical line test (not a function at all)

Answer:

B. <The straight diagonal graph>, D. <The straight diagonal graph with large grid>, E. <The straight horizontal graph>