Use the Graph of the Function F(x) to Locate the Local

question 346

Multiple Choice

Use the graph of the function f(x) to locate the local extrema and identify the intervals where the function is concave up
and concave down.
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• A) Local minimum at \(x = 3\); local maximum at \(x = - 3\); concave down on \(( - \infty , - 3 )\) and \(( 3 , \infty )\); concave up on \(( - 3,3 )\)
• B) Local minimum at \(x = 3\); local maximum at \(x = - 3\); concave up on \(( 0 , \infty )\); concave down on \(( - \infty , 0 )\)
• C) Local minimum at \(x = 3\); local maximum at \(x = - 3\); concave down on \(( 0 , \infty )\); concave up on \(( - \infty , 0 )\)
• D) Local minimum at \(x = 3\); local maximum at \(x = - 3\); concave up on \(( - \infty , - 3 )\) and \(( 3 , \infty )\); concave down on \(( - 3,3 )\)

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Definitions:

Ordinary Annuity

A series of equal payments made at regular intervals, with the interest compounding period matching the payment period, such as annually.

Expressed

Articulated or conveyed in words, symbols, or in another explicit manner.

Years

Units of time equal to 365 days (or 366 in a leap year), used as a measure of time duration or age.

Compounded Quarterly

Refers to the process of calculating and adding interest to the principal sum every quarter of a year.