Enter your keyword

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 = $x^{2}$ + 4x + 1 using function notation and find the value of y at x = 3 ?

Solution:

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

Question 2: Represent the given function y = $x^{3}$ – 4x using function notation and find the value of y at x = 2 ?

Solution:

Given function is,
y = $x^{3}$ – 4x
By using function notation it become,
f(x) = $x^{3}$ – 4x
The value of y at x = 2 means f(2).
Therefore, f(2) = $2^{3}$ – 4 $\times$ 2 = 8 -8 = 0
Related Formulas
Hyperbolic Function FormulaGraphs of Trigonometric Functions Formula
Interest FormulaHeight of a Parallelogram Formula
Isosceles Trapezoid FormulaLoan Balance Formula
Math FormulasMagnitude of a Vector Formula