Vault Of Euclid

Finding a Constant to Make a Quadratic Function Even

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If \( f(x) = x^2 + kx + 1 \) for all \( x \) and \( f \) is an even function, find \( k \).

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What you need first

Evaluating functions at specific values
Solving linear equations
The definition of even and odd functions

What this problem tests

Tests the ability to apply the algebraic definition of an even function to solve for an unknown parameter.

This is a standard precalculus or introductory calculus problem testing the understanding of function symmetry.

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