Answer the Question $\mathrm { f }$ Continuous At $f ( 0 ) ?$

question 175

True/False

Answer the question.
-Is $\mathrm { f }$ continuous at $f ( 0 ) ?$
$f ( x ) = \left\{ \begin{array} { l l } - x ^ { 2 } + 1 , & - 1 \leq x < 0 \\3 x , & 0 < x < 1 \\- 5 , & x = 1 \\- 3 x + 6 & 1 < x < 3 \\5 , & 3 < x < 5\end{array} \right.$

---

Definitions:

Time-Value

The idea that having money now is more valuable than having the same sum in the future because of the potential to earn more over time.

Discounting

The process of determining the present value of a payment or a stream of payments that is to be received in the future.

Compounding

The process whereby interest is added to the principal sum, so that from that moment on, the interest that has been added also earns interest.

Demand Curve

A graph representing the relationship between the price of a good and the quantity demanded, with price on the vertical axis and quantity on the horizontal axis.