$$\text { Find and simplify the difference quotient } \frac { f ( a + h ) - f ( a ) } { h } , h \neq 0 \text { for the given function. }$$

question 234

Multiple Choice

$$\text { Find and simplify the difference quotient } \frac { f ( a + h ) - f ( a ) } { h } , h \neq 0 \text { for the given function. }$$
- $f ( x ) = \frac { 1 } { 3 x }$

• A) \(\frac { - 1 } { a ( a + h ) }\)
• B) 0
• C) \(\frac { - 1 } { 3 a ( a + h ) }\)
• D) \(\frac { 1 } { 3 a }\)

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Definitions:

Compounded Semi-Annually

Interest on an investment that is calculated twice a year and added to the principal sum, affecting the total interest earned.

Economic Equivalent

A comparison of the economic attributes of two or more investment or financial scenarios to determine their relative value or financial impact.

Missed Payment

Failure to make a required payment by its due date.

Original Principal

The initial amount of money borrowed or invested, before any interest or profit is added.