Use a Graphing Calculator to Graph the Function Using the Given

question 103

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.
- $$f ( x ) = x ^ { 4 } - 6 x ^ { 2 } + 5 ; [ - 3,3 ] \text { by } [ - 40,40 ]$$

• A) one-to-one; \(\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = \sqrt [ 4 ] { \mathrm { x-5 } }\)
• B) one-to-one; \(f ^ { - 1 } ( x ) = \sqrt [ 4 ] { x - 5 } + 6 x ^ { 2 }\)
• C) one-to-one; \(f ^ { - 1 } ( x ) = \sqrt [ 4 ] { 6 x ^ { 2 } - 5 }\)
• D) not one-to-one

---

Definitions:

Nonconformity

The act of not following established norms, rules, or laws, often to assert individuality or push for change.

Self-Direction

The capacity or ability of individuals to guide, control, and manage their own actions and decisions.

Divergent Thinking

A thought process or method used to generate creative ideas by exploring many possible solutions, often leading to innovative and unexpected conclusions.

Creative Process

Refers to the sequence of thoughts and actions leading to the production of novel and useful ideas or artifacts, encompassing stages like preparation, incubation, illumination, and verification.