Graph the Function $y = - 3 + 2 \left( 1 + 3 ^ { x } \right)$

question 55

Essay

Graph the function $y = - 3 + 2 \left( 1 + 3 ^ { x } \right)$ , not by plotting points but by applying your knowledge of the general shape of graphs of the form $a ^ { x }$ . State the domain, range, and asymptote of the function.

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Definitions:

Tax Rate

The percentage at which an individual or corporation is taxed by the government.

Net Present Value

The calculation of the present value of an investment's expected cash inflows minus the initial investment cost, used to analyze the profitability of a project.

Depreciation Schedule

A document that outlines the reduction in value of an asset over time and how it is allocated as an expense across accounting periods for tax and accounting purposes.

After-Tax Hurdle Rate

The minimum acceptable rate of return on an investment after accounting for taxes, used in capital budgeting to evaluate projects.