Question

choose the graphs that show a linear function.

Explanation:

Identify the definition of a linear function

A linear function is represented graphically by a single, non-vertical straight line.

Analyze each graph option

• First graph: Shows a V-shaped graph, which is an absolute value function, not a single straight line.
• Second graph: Shows a single straight line with a positive slope. This represents a linear function.
• Third graph: Shows a curve starting from the origin (a square root function), not a straight line.
• Fourth graph: Shows a horizontal straight line. This represents a constant linear function of the form \(y = c\).

Answer:

• (A) V-shaped absolute value graph
• (B) Slanted straight line graph (Correct answer)
• (C) Curved square root graph
• (D) Horizontal straight line graph (Correct answer)