Find the Exact Location of All the Relative and Absolute $[ - 1,1 ]$

question 11

Multiple Choice

Find the exact location of all the relative and absolute extrema of the function with domain $[ - 1,1 ]$ . Round your answers to two decimal places. $f ( x ) = e ^ { 3 x } - 3 x$
Select all correct answers.

• A) \(( - 1,17.09 )\) - absolute maximum
• B) \(( 1,3.05 )\) - relative maximum
• C) \(( 0,1 )\) - absolute minimum
• D) \(( 1,17.09 )\) - absolute maximum
• E) \(( - 1,3.05 )\) - relative maximum

---

Definitions:

South Carolina

A southeastern US state, known for its shoreline of subtropical beaches and marshlike sea islands, and as the first state to secede from the Union prior to the Civil War.

Abolitionists

Individuals or groups who advocated for the immediate end of slavery and the emancipation of slaves, particularly active in the 19th century.

Emancipation

The act of freeing someone from slavery, servitude, or oppression.

Racial Superiority

The ideology or belief that one race is inherently superior to others, often used to justify unequal treatment and discrimination.