Question

Determine whether each graph is the graph of a function and if so, is it one-to-one.

Part (a):

Part (b):

Short answer

Part (a): It is not a function.

Part (b): It is an one-to-one function.

Step-by-step solution

Part (a) Step 1: Given information.

Consider the given question,

Draw vertical line and horizontal line on the graph,

Since any vertical line intersects the graph for more than one time, the graph is not the graph of a function.

Part (b) Step 1: Given information.

Consider the given question,

Draw vertical line and horizontal line on the graph,

Since any vertical line intersects the graph in at most one point, the graph is the graph of a function. Since any horizontal line intersects the graph in at most one point, the graph is the graph of a one-to-one function.