Let $f ( x ) = x ^ { 3 } + c$

question 72

Essay

Let $f ( x ) = x ^ { 3 } + c$ . Graph the family of functions with $c = - 4$ , $- 2$ , $0$ , $2$ , and $4$ in the viewing rectangle $[ - 5,5 ]$ by $[ - 5,5 ]$ . How does the value of $c$ affect the graph?

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Definitions:

Cortisol Levels

The amount of cortisol, a hormone released by the adrenal glands, in the blood, which can increase in response to stress or low blood-glucose concentration.

Serotonin Levels

The concentration of serotonin, a key neurotransmitter affecting mood, anxiety, and happiness, within the nervous system.

Stress Protection

Strategies or factors that shield individuals from the negative effects of stress.

External Locus

Refers to the belief that outside forces, rather than personal actions, control one's life circumstances.