Let be defined by .

MATHEMATICS · Multi-part · AP · AP Precalculus · Exponential and Logarithmic Functions · Exponential and Logarithmic Functions

Problem

Let

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

be defined by

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

. (i) Calculate

g(1)

and

g(4)

. (ii) State, with reason, whether

g

is increasing or decreasing on the interval

[1,4]

. (iii) Hence write the range of

g

[1,4]