# Chapter 1 - Functions and Their Graphs - Section 1.3 Properties of Functions - 1.3 Assess Your Understanding - Page 75: 35

$\text{even }$

#### Work Step by Step

Recall: a) A function is said to be odd, when every number $x$ in its domain, the number $-x$ is also in the domain such that $f(-x)=-f(x)$ b) A function is said to be even, when every number $x$ in its domain, the number $-x$ is also in the domain such that $f(-x)=f(x)$ Replace in the given function $x$ with $-x$ to evaluate $f(-x)$. $f(-x)=-3(-x)^2-5 \\=-3x^2-5 \\=f(x)$ Therefore, the function $f(x)$ is even.

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