Function Notation Formula

Function Notation Formula

Functions or Functional Notations are referred by the letter ‘f’ and written as f(x), sometimes in the form of g(x), h(a) etc.

Solved Examples

Question 1: Represent y =

\(\begin{array}{l}x^{2}\end{array} \)
+ 4x + 1 using function notation and find the value of y at x = 3.

Solution:

Given function is,
y =
\(\begin{array}{l}x^{2}\end{array} \)
+ 4x + 1
By using function notation,
f(x) =
\(\begin{array}{l}x^{2}\end{array} \)
+ 4x + 1
Value of y at x = 3 means f(3).
So, f(3) =
\(\begin{array}{l}3^{2}\end{array} \)
+ 4
\(\begin{array}{l}\times\end{array} \)
3 + 1 = 9 + 12 + 1 = 22

Question 2: Represent the given function y =

\(\begin{array}{l}x^{3}\end{array} \)
– 4x using function notation and find the value of y at x = 2.

Solution:

Given function is,
y =
\(\begin{array}{l}x^{3}\end{array} \)
– 4x
By using function notation,
f(x) =
\(\begin{array}{l}x^{3}\end{array} \)
– 4x
The value of y at x = 2 means f(2).
Therefore, f(2) =
\(\begin{array}{l}2^{3}\end{array} \)
– 4
\(\begin{array}{l}\times\end{array} \)
2 = 8 -8 = 0

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