Mathematics

Problem

Define the function

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

. Answer all parts, giving reasons for each conclusion: a. (i) Determine the domain of

p

. b. (ii) Find every intercept of the graph of

p

, if it exists. c. (iii) Obtain the range of

p

. d. (iv) Write the equation of the horizontal asymptote of the graph of

p

. e. (v) Describe briefly how the graph of

p

can be obtained from the graph of

y=2^{x}