Functions
Algebra-1 Worksheets
A relation is called function if each input is related to exactly one output. There is a set of inputs and set of possible outputs in function.
Set of inputs is called domain and set of outputs is called range.
Example:
The relation, {(-2, -5), {1, 2), (3, 3), (4, 5)} is a function. Here every input is related to exactly one output.
Domain of function is {-2, 1, 3, 4} and range is {-5, 2, 3, 5}.
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Example:
Here y is a function of x, we can write y = f(x). Every input is related to exactly one output.
Example:
Here relation is not a function because input -1 has two output values 15 and 18.
Some Facts about Functions:
- Domain of polynomial is all real numbers.
- Domain of a rational function is all real numbers except the x values for which denominator is getting 0.
Check Point
Check whether given relation is a function or not-
- {(-2, -5), {2, 2), (-2, 3), (3, 5)}
- {(0, 5), {2, 3), (3, 4), (4, 5)}
- {(-4, 5), {-3, 2), (0, 3), (2, 5), (5,8)}
- {(1, 11), {4, 15), (1, 17), (2, 5), (5, 8), (7, 11)}
- Find domain of function f(x) = 2x5 + 7x4 – 3x3 + 4x2 + 9
Answer Key
- Not a function
- Function
- Function
- Not a function
- All real numbers or
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