Consider the following f4 7 f1 4 a Write the linear functi

Consider the following.

f(4) = 7, f(1) = 4

(a) Write the linear function f such that it has the indicated function values.

F(x)=

Solution:

Here, as f(x) is a linear function.

let, f(x) = ax + b

f(1) = 4 = a+b and f(-4) = -7 = -4a + b

On solving these two equations:

a = 11/5 and b = 9/5