Without Graphing the Function, Determine Its Amplitude or Period as Requested

question 329

Multiple Choice

Without graphing the function, determine its amplitude or period as requested.
- $y = 5 \sin \frac { 1 } { 4 } x \quad$ Find the amplitude.

• A) 2
• B) \(6 \pi\)
• C) \(\frac { \pi } { 2 }\)
• D) \(\frac { 2 \pi } { 3 }\)

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Definitions:

Compounded Semi-annually

The process of adding interest to the principal sum of a loan or deposit twice a year, also accounting for the interest accumulated over the period.

Monthly Payment

Regular payment made every month, commonly in the context of repaying loans or paying bills.

Home Renovations

Improvements or alterations made to a residential property, often intended to increase its value, functionality, or aesthetic appeal.

Compounded Quarterly

Involves calculating interest on an investment or loan every three months, then adding that interest to the principal amount; thus, the interest for the next period is calculated on the principal plus previously accumulated interest.