Find the Range of the Quadratic Function $$f ( x ) = - 5 x ^ { 2 } + 15 x$$

question 193

Multiple Choice

Find the range of the quadratic function.
- $$f ( x ) = - 5 x ^ { 2 } + 15 x$$

• A) \(\left( - \infty , \frac { 3 } { 2 } \right]\)
• B) \(\left( - \infty , \frac { 45 } { 4 } \right]\)
• C) \(\left( - \infty , - \frac { 3 } { 2 } \right]\)
• D) \(\left( - \infty , - \frac { 45 } { 4 } \right]\)

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Definitions:

Agonist

A chemical or drug that binds to receptors in the body and causes a physiological response.

Antagonist

A muscle that produces the opposite movement of the prime mover.

Movement

The act or process of changing place or position by the entire body or a body part.

Origin

An attachment site of a skeletal muscle that does not move when a muscle contracts.