Function Rule in Math

Function rule in math Linear input output functions are finding unknown variables from the given expression with the help of known values. In the expression variable are x and y. The expression deals with linear equation. find the linear expression of the particular function. Function notation is look f(x), p(x),… to find the x value of the functions. Function notation is f(x) = mx+b. in this equation the value of x is given we need to find the value of m and b.

Example of funciton rules in math: The funciton f(x) 2x2+4x+2, using function rules in math find the f(4),f(5) and f(6).

problems in square equation of function rules in math

Problems using the square of the equation find the function rules in math.

Problem 1; find the function rule in math of square equation

F(x) = x2 +2x +4 find the x = 2,3,4,5

Solution :

Given the function of f(x) there is x value is given find the function rules in math

f(x) = x2 +2x +4 find the f(2),f(3), f(4) and f(5)

The value of x is 2 is given

f(2) = 22 +2*2 +4

f(2) = 4 +4 +4 In this step 2 square is 4 it is calculate and 2*2 is 4 be added

(ii)f(2) = 12

f(3) = 32+2*3+4

f(3)= 9+6+4 = 19

f(3) = 19

(iii)f(4)= 42+2*4+4

f(4)= 16+8+4 = 28

f(4)=28.

(iv)f(5) = 52+2*5+4

f(5) = 25+10+4 = 39

f(5) = 39

The function rule in math  f(2) = x2 +2x +4 find the f(2),f(3),f(4) and f(5) is 12,19,28,39.

Simplify the function rule in math using the linear equation

Simplifying the function rule in math f(x) = 3x+12. The input function x=4,5,6,7.

Solution: The given equation is linear substitute the linear input function of f(4).

f(x) = 3x+12 the linear input function is 4

f(4) = 3*4+12. here multiply the 3*4 is 12 and add.

f(4) = 12+12

f(4) = 24. the linear output function is 24.

f(5) = 3*5+12 = 15+12

f(5) = 27

f(6) = 3*6+12

f(6) = 18+12

f(6) = 30

f(7) = 3*7+12

f(7) = 21+12

f(7) = 33.

The function rule in math f(x) = 3x+12. The input function is f(4),f(5),f(6) and f(7) output is 24,27,30 and 33