In How Many Distinct Points Does the Graph Of $y = \frac { 1 } { 2 } x ^ { 2 } - 5 x - \frac { 1 } { 4 }$

question 98

Multiple Choice

In how many distinct points does the graph of $y = \frac { 1 } { 2 } x ^ { 2 } - 5 x - \frac { 1 } { 4 }$ intersect the graph of $y = - \frac { 1 } { 2 } x ^ { 2 } + 2 x - 7$ in the viewing rectangle $[ - 10,10 ]$ by $[ - 15,5 ]$ ?

• A) 0
• B) 1
• C) 2
• D) 3
• E) 4

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Definitions:

Adolescent Egocentrism

A characteristic of adolescent thought involving an increased focus on the self and a belief in the uniqueness of one's own feelings and experiences.

Intuitive Thinking

A cognitive process that enables a person to know something directly without analytic reasoning, bridging the gap between the conscious and nonconscious parts of our mind.

Analytic

Pertaining to or using analysis or logical reasoning.

Abstract

Relates to ideas or concepts that are not physically tangible, often requiring thought and imagination to understand.