FUNCTIONS 1

Find a linear function f(x) with gradient -6 which is such that f(5)=16.

Solution.

m=-6, points = [5,16] and [x, f(x)]

m = y₂-y₁/x₂-x₁

-6 = [f(x) – 16]/x-5

f(x)-16=-6(x-5)  [after cross multiplying]

f(x)-16=-6x+30

f(x)=-6x+30+16

f(x)=-6x+46

A  linear function is f(x) = -6x + 46.

TRY THIS……….

Give out a linear function f(x) with gradient -11 and f(2)=18