Question

identify the graphs that represent a linear function. check all that apply.

Explanation:

Step1: Recall linear function graph

A linear function has the form \( y = mx + b \), and its graph is a straight line (non - curved, constant slope).

Step2: Analyze each graph

• First graph: It is a straight line, so it represents a linear function.
• Second graph: It is a parabola (curved, U - shaped), so it is not a linear function.
• Third graph: It has multiple curves (not a straight line), so it is not a linear function.
• Fourth graph: It is a straight line, so it represents a linear function.

Answer:

The first graph (left - most) and the fourth graph (right - most) represent linear functions. So we check the boxes corresponding to the first and the fourth graphs.