Question

Which functions are even? Check all of the boxes that apply.

a) f(x) = x+ - x
b) f(x) = x^2 – 3x + 2
c) f(x) = √(E-2)
d) f(x) = x^1

Answer 1

The functions that are even are f(x) = x² - 3x + 2 and f(x) = x^1. This is a quadratic function with an even degree, and it is symmetric about the y-axis.

Step-by-step explanation:

An even function is a function that is symmetric about the y-axis.

This means that if you replace x with -x, the function remains unchanged. In the given options, the functions that are even are:

• f(x) = x² - 3x + 2: This is a quadratic function with an even degree, and it is symmetric about the y-axis.
• f(x) = x^1: This is a linear function, and all linear functions are even.