Consider the linear function with the restricted domain

MATHEMATICS · Subjective · A Level · Mathematics · Algebra and Functions · Algebra and Functions

Problem

Consider the linear function

f(x)=3x-2

with the restricted domain

-1\le x\le4

. (i) Find the corresponding range of

f

. (ii) Determine the value(s) of

x

in the given domain for which

f(x)=4

. (iii) If the domain is further restricted to

0\le x\le4

, find the new range and compare it with the range obtained in part (i).