Graph the Function $f ( x )$ Over the Given Interval $\sum _ { k = 1 } ^ { 4 } f \left( c _ { k } \right) \Delta x _ { k }$

question 153

Multiple Choice

Graph the function $f ( x )$ over the given interval. Partition the interval into 4 subintervals of equal length. Then add to your sketch the rectangles associated with the Riemann sum $\sum _ { k = 1 } ^ { 4 } f \left( c _ { k } \right) \Delta x _ { k }$ , using the indicated point in the kth subinterval for $\mathrm { c } _ { \mathrm { k } }$ .
- $$f ( x ) = - 3 x ^ { 2 } , [ 0,4 ] , \text { midpoint }$$

---

Definitions:

Affective

Refers to moods, feelings, and attitudes, especially as they influence behavior or learning.

Evaluative

Involving making judgments about the value of something, typically in terms of its usefulness, quality, or performance.

Transformative Learning

A process of profound change in personal beliefs, attitudes, and perspectives as a result of experience and reflection.

Reflective Thinking

The process of critically analyzing and evaluating one's thoughts and actions for the purpose of learning and self-improvement.