Use a Graphing Device to Draw the Graph of the Function

question 32

Essay

Use a graphing device to draw the graph of the function $f ( x ) = 144 x ^ { 3 } - 144 x ^ { 2 } + 36 x$
State approximately the intervals on which the function is increasing and on which the function is decreasing.

---

Definitions:

Internal Rate

Often referred to as the Internal Rate of Return (IRR), it is the interest rate at which the net present value of all the cash flows (both positive and negative) from a project or investment equal zero.

Payback Method

A simplistic financial analysis tool used to determine the time required for the earnings from an investment to repay the initial investment cost.

NPV Profile

A graphical representation showing the relationship between the net present value (NPV) of a project and various discount rates, helping to analyze the investment's sensitivity to changes in cost of capital.

MIRR

Modified Internal Rate of Return, a financial metric used to assess the profitability of investments, adjusting for different cash inflow and outflow timings.