Question

decide if the graph shows a function by answering both questions. does each input have exactly one output? ? does the graph show a function? ?

Explanation:

Step1: Analyze input-output uniqueness

A function requires each input (x - value) to have exactly one output (y - value). Looking at the graph, each x - value (1, 2, 3, 4) has only one corresponding y - value. So, each input has exactly one output: Yes.

Step2: Determine if it's a function

Since each input has exactly one output, by the definition of a function, the graph shows a function: Yes.

Answer:

For "Does each input have exactly one output?": Yes
For "Does the graph show a function?": Yes