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)
Solution
3.4
(273 Votes)
Clifton
Elite ยท Tutor for 8 years
Answer
### Any ordered pair with an x-value different from
or
can be plotted together with these four points so that the resulting graph still represents a function.
Explanation
## Step 1: Define a function### A function is defined as a relation where each input (x-value) has exactly one output (y-value).## Step 2: Analyze given points### 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.## Step 3: Determine valid additional point### To maintain the function property, any new point added must have an x-value that is not already used by the existing points. ## Step 4: Check possible options### We need to ensure that the new point does not share an x-value with
or
.