Question

1. which graph represents a function? 1) 2) 3) 4)

Explanation:

Step1: Recall vertical line test

A graph represents a function if any vertical line drawn intersects it at most once.

Step2: Test Option (a)

Vertical lines intersect this graph at multiple points. It fails the test.

Step3: Test Option (b)

Vertical lines intersect this graph at multiple points. It fails the test.

Step4: Test Option (c)

Every vertical line intersects this graph at exactly one point. It passes the test.

Step5: Test Option (d)

Vertical lines intersect this graph at multiple points. It fails the test.

Answer:

c. <The graph with single vertical intersections>