FUNCTIONS 2

Find a linear function f(x) with gradient -10 which is such that f(7)=16.

        Solution.

m=-10, points = [7,16] and [x, f(x)]

m = y₂-y₁/x₂-x₁

-10 = f(x) – 16/x-7

  

f(x)-16=-10(x-7) [after cross multiply]

f(x)-16=-10x+70

f(x)=-10x+70+16

f(x)=-10x+86

A  linear function is f(x) = -10x+86.

TRY THIS……….

Give out a linear function f(x) with gradient 6 and f(8)=-4