Mathematics

Mathematics

Problem

Let

g:[1,4]\to\mathbb R

be defined by

g(x)=2^{x}-3

. a. (i) Calculate

g(1)

and

g(4)

. b. (ii) State, with reason, whether

g

is increasing or decreasing on the interval

[1,4]

. c. (iii) Hence write the range of

g

on

[1,4]

.

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