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The graph represents a function. Which ordered pair can be plotted together with these four points, so that the resulting graph still represents a function? (0,0) (3,1) (-3,1) (1,3)

Question

The graph represents a function. Which ordered pair can be plotted together with these four points, so that the resulting graph still represents a function? (0,0) (3,1) (-3,1) (1,3)

The graph represents a function.
Which ordered pair can be plotted together with these four points, so that the resulting
graph still represents a function?
(0,0)
(3,1)
(-3,1)
(1,3)

Solution

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CliftonElite · Tutor for 8 years

Answer

### Any ordered pair with an x-value different from \( 0, 3, -3, \) or \( 1 \) can be plotted together with these four points so that the resulting graph still represents a function.

Explain

## Step 1: Define a function<br />### A function is defined as a relation where each input (x-value) has exactly one output (y-value).<br /><br />## Step 2: Analyze given points<br />### The given points are \( (0,0) \), \( (3,1) \), \( (-3,1) \), and \( (1,3) \). Each x-value is unique, so the graph currently represents a function.<br /><br />## Step 3: Determine valid additional point<br />### To maintain the function property, any new point added must have an x-value that is not already used by the existing points. <br /><br />## Step 4: Check possible options<br />### We need to ensure that the new point does not share an x-value with \( 0, 3, -3, \) or \( 1 \).
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