Function
Functions have an area of origin called the domain and a result area called range. It can be said that the domain is the input and the range is the output. Functions can be expressed in diagrammatic form. From the existing diagram the values of f (4) is 1/2 and f (x) = 4 when x is 8.
Further explanation
Set A to set B is said to be a function if each member of set A pairs is exactly one member of set B.
So, one value of x is only assigned to one value of y.
A function can be expressed in the form of a cartesian diagram, sequential pairs, or arrow diagram.
If y is a function of x, then y = f (x).
where x is the independent variable and y is the dependent variable, or
x = input, y = output
.
The value of x does not have 2 or more relations with y (output) ⇒ only one relationship
.
There are several forms of function including:
- 1. linear function
- 2. quadratic function
- 3. trigonometric functions
- 4. polynomial function
- 5. fraction function etc.
Given
The mapping diagram
Required
f(4)
f(x) = 4 when x
Solution
From the diagram above it can be shown that :
Domain : 8, -2/3, 11, 4 ⇒x
Range : 4, 3, -1, 1/2 ⇒y
then :
1. y = f(x)
for x = 4 :
y = f(4)
1/2 = f(4)
2. y=f(x)
for y = 4 :
4 = f(x)
4 = f(8)
Learn more
A function C that can represent the cost of buying X meals : https://brainly.ph/question/342778
When f (x) = 4, the value of x = 2 : https://brainly.ph/question/1065834
Expressions that are equivalent to (p - q) (x) : https://brainly.ph/question/1312841
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