Find the Intervals on Which the Function Is Increasing and the Intervals

question 143

Multiple Choice

Find the intervals on which the function is increasing and the intervals on which the function is decreasing.
- $$f ( x ) = x ^ { 2 } - 5 x + 6$$

• A) Increasing on \(\left( \frac { 5 } { 2 } , \infty \right)\); decreasing on \(\left( - \infty , \frac { 5 } { 2 } \right)\)
• B) Increasing on \(\left( - \frac { 5 } { 2 } , \infty \right) ;\) decreasing on \(\left( - \infty , - \frac { 5 } { 2 } \right)\)
• C) Increasing on \(\left( - \infty , - \frac { 5 } { 2 } \right) ;\) decreasing on \(\left( - \frac { 5 } { 2 } , \infty \right)\)
• D) Increasing on \(\left( - \infty , \frac { 5 } { 2 } \right)\); decreasing on \(\left( \frac { 5 } { 2 } , \infty \right)\)

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Definitions:

Internal Locus of Control

The belief that one is in control of their life and outcomes, attributing success and failure to one's own actions rather than external forces.

Ideal Self

The conception of oneself as one wishes to be or aspires to be, often involving goals, values, and desired traits.

Self-Image

An individual's perception of themselves, shaped by experiences, beliefs, and feedback from others.

Compensating

Making up for a deficiency or lack in one area by excelling or emphasizing another.