Determine Whether $f ( x ) = 5 x ^ { 2 } - \frac { x ^ { 4 } } { 5 }$

question 12

Essay

Determine whether $f ( x ) = 5 x ^ { 2 } - \frac { x ^ { 4 } } { 5 }$ is even or odd. If $f$ is even or odd, use symmetry to sketch its graph.

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Definitions:

Risperdal

A medication primarily used to treat schizophrenia and certain issues in bipolar disorder, as well as irritability in autism, by altering the effects of chemicals in the brain.

Placebo

An inactive substance or fake treatment used as a control in an experiment or given by a medical practitioner to a patient.

Lithium Carbonate

A chemical compound used as a mood stabilizer, particularly in the treatment of bipolar disorder, helping to reduce the frequency and severity of mania.

Bipolar Disorder

A mental health condition marked by extreme mood swings, including emotional highs (mania or hypomania) and lows (depression).