Use a Graphing Calculator to Graph the Function Using the Given

question 241

Multiple Choice

Use a graphing calculator to graph the function using the given viewing window. Use the graph to decide if the function
is one-to-one. If the function is one-to-one, give the equation of the inverse function.
- $f ( x ) = \frac { x + 1 } { x - 4 } ; [ - 10,10 ]$ by $[ - 10,10 ]$

• A) not one-to-one
• B) one-to-one; \(\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = \frac { \mathrm { x } - 4 } { \mathrm { x } + 1 }\)
• C) one-to-one; \(\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = \frac { 4 \mathrm { x } + 1 } { \mathrm { x } - 1 }\)
• D) one-to-one; \(\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = \frac { 4 \mathrm { x } - 1 } { \mathrm { x } + 1 }\)

---

Definitions:

Autonomy

The right or condition of self-government, or in personal development, the capacity to make an informed, uncoerced decision.

Shame and Doubt

A stage in Erikson's psychosocial development theory where toddlers learn to exert their will and develop a sense of autonomy, or experience doubt about their abilities.

Self-Recognition

The ability to recognize oneself as an individual, separate from others, often tested through mirror self-recognition tasks.

Kübler-Ross

Refers to the Kübler-Ross model, also known as the five stages of grief, which outlines the progression of emotions experienced by terminally ill patients or by people who have lost a loved one.