Questions: Determine if the graph in the figure represents y as a function of x. Explain your reasoning. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. Yes; each input is assigned exactly one output. B. No; one value of x, , gives two values of y.

Determine if the graph in the figure represents y as a function of x. Explain your reasoning.

Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. Yes; each input is assigned exactly one output. B. No; one value of x, , gives two values of y.

Transcript text: Determine if the graph in the figure represents $y$ as a function of $x$. Explain your reasoning. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. Yes; each input is assigned exactly one output. B. No; one value of $x$, $\square$ , gives two values of $y$.

Solution

Solution Steps

Step 1: Identify the points on the graph

The points on the graph are:

(1, 2)
(2, 4)
(3, 6)
(4, 8)
(5, 6)
(6, 4)
(7, 2)

Step 2: Check for unique x-values

Examine each x-value to see if it corresponds to exactly one y-value. Each x-value (1 through 7) is paired with a unique y-value.

Step 3: Determine if the graph represents a function

A graph represents a function if each input (x-value) is assigned exactly one output (y-value). Since each x-value in the graph corresponds to exactly one y-value, the graph represents a function.

Final Answer

A. Yes; each input is assigned exactly one output.

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