what-is-f-x-if-f-3-10-f-2-14-f-1-20-

Question Number 76288 by benjo last updated on 26/Dec/19

what is f (x) if f (3) = 10, f (2) = 14

f (1) = 20 ?

Commented by MJS last updated on 26/Dec/19

if we {don}^{'} t know the type of f (x) {there}^{'} s

zillions of possibilities \dots

if {it}^{'} s a polynome \Rightarrow degree = (number of

given statements) - 1 = 2

f (x) = {a x}^{2} + b x + c

(1) 10 = 9 a + 3 b + c

(2) 14 = 4 a + 2 b + c

(3) 20 = a + b + c

solve these

\Rightarrow f (x) = x^{2} - 9 x + 28

Commented by benjo last updated on 26/Dec/19

yes sir . i think so too . in my

opinion the data in the

problem is incomplete in order

to produce from f (x)

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