Let's analyze the four figures (Figure 1 to Figure 4) and determine which ones represent
functions. A
function is a relation where
each input (domain element) is associated with
exactly one output (range element).
We will examine each figure:
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🔹 Figure 1
- Domain: {2, -8, 1, 3}
- Range: {4, 0, 5, 1}
- Mapping:
- 2 → 4
- -8 → 0
- 1 → 5
- 3 → 1
✔ Each domain element maps to
exactly one range element.
✔ No element in the domain is repeated or mapped to multiple values.
✔️
This is a function.
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🔹 Figure 2
- Domain: {2, -8, 3}
- Range: {4, 0, 1}
- Mapping:
- 2 → 4
- -8 → 0
- 3 → 1
✔ Each input has exactly one output.
Note: The domain has only three elements — that’s fine; not all numbers need to be used.
✔️
This is a function.
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🔹 Figure 3
- Domain: {2, -8, 1}
- Range: {4, 0, 5, 3}
- Mapping:
- 2 → 4
- -8 → 0
- 1 → 5
- 1 → 3
⚠️ Here,
the input 1 is mapped to
two different outputs: 5 and 3.
✘ This violates the definition of a function (one input cannot have two outputs).
✖️
This is NOT a function.
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🔹 Figure 4
- Domain: {4, 0, 5, 1}
- Range: {2, -8, 1, 3}
- Mapping:
- 4 → 2
- 0 → -8
- 5 → 1
- 1 → 3
✔ Each domain element maps to exactly one range element.
✔️
This is a function.
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✔ Final Answer:
The figures that represent
functions are:
>
Figure 1, Figure 2, and Figure 4
Figure 3 is not a function because the input `1` maps to two different outputs (`5` and `3`).
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📌 Summary:
-
Function?
- Figure 1: ✔️ Yes
- Figure 2: ✔️ Yes
- Figure 3:
✘ No
- Figure 4: ✔️ Yes
✔ So,
Figures 1, 2, and 4 are functions.
Parent Tip: Review the logic above to help your child master the concept of function mapping worksheet.
