Find All X-Intercepts of the Function $$f ( x ) = ( 2 x - 7 ) ^ { 2 } - 4 ( 2 x - 7 ) - 12$$

question 45

Multiple Choice

Find all x-intercepts of the function.
- $$f ( x ) = ( 2 x - 7 ) ^ { 2 } - 4 ( 2 x - 7 ) - 12$$

• A) \[\left( \frac { 9 } { 2 } , 0 \right) , \left( - \frac { 1 } { 2 } , 0 \right)\]
• B) \[\left( - \frac { 5 } { 2 } , 0 \right) , \left( - \frac { 13 } { 2 } , 0 \right)\]
• C) \[\left( - \frac { 9 } { 7 } , 0 \right) , \left( \frac { 1 } { 2 } , 0 \right)\]
• D) \[\left( \frac { 5 } { 2 } , 0 \right) , \left( \frac { 13 } { 2 } , 0 \right)\]

---

Definitions:

Experimental Situation

A controlled environment where variables are manipulated to test hypotheses and observe outcomes in research.

Typical Behavior

Actions or reactions that are considered normal or expected within a specific society or among a particular group of people.

Validity

The scientific requirement that the data being collected must actually reflect the phenomenon being studied.

Intelligence

The capacity for learning, reasoning, understanding, and similar forms of mental activity; aptitude in grasping truths, relationships, facts, meanings, etc.