Graph the Function, Then Find the Extreme Values of the Function

question 209

Multiple Choice

Graph the function, then find the extreme values of the function on the interval and indicate where they occur.
- $y = | x + 4 | - | x - 5 |$ on the interval $- \infty < x < \infty$

• A) Absolute maximum is 9 on the interval \([ 6 , \infty )\); Absolute minimum is \(- 9\) on the interval \(( - \infty , 3 ]\)
• B) Absolute maximum is 10 on the interval \([ 5 , \infty )\); Absolute minimum is \(- 10\) on the interval \(( - \infty , 4 ]\)
• C) Absolute maximum is 8 on the interval \([ 5 , \infty)\); Absolute minimum is \(\mathbf { - 8 }\). on the interval \(( - \infty , 4 ]\)
• D) Absolute maximum is 9 on the interval \([ 5 , \infty )\); Absolute minimum is \(- 9\) on the interval \(( - \infty , 4 ]\)

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Definitions:

Estrogen

A group of steroid hormones that play a crucial role in the development and regulation of the female reproductive system and secondary sexual characteristics.

Androgens

Male sex hormones, such as testosterone, that are present in both males and females but in higher levels in males.

Narcissism

A psychological condition characterized by self-centeredness, lack of empathy for others, and an excessive need for admiration.

Self-Regard

The perception and evaluation of oneself, often in terms of self-esteem or self-worth.