Rational function with radical is it even or odd?

The video tutorial explains the concept of even functions by demonstrating how plugging in negative X results in the same function value as positive X. It uses quadratic functions as an example to illustrate this property. A practical example with X=2 is provided to show the symmetry of even functions. The tutorial concludes with a brief introduction to polynomial functions.

What is the key characteristic of an even function when you substitute negative values?

• The function becomes undefined.

• The function's expression becomes zero.

• The function's expression changes completely.

• The function's expression remains the same.

Why does a quadratic function serve as a good example of an even function?

• Because it is a linear function.

• Because it has no real roots.

• Because it is always positive.

• Because squaring a negative value results in a positive outcome.

What happens to the value of a quadratic function when you input a negative number?

• It remains the same as the positive input.

• It becomes negative.

• It becomes undefined.

• It becomes zero.

In the context of even functions, what does symmetry imply?

• The function has no symmetry.

• The function is only defined for positive values.

• The function's graph is a straight line.

• The function's output is the same for both positive and negative inputs.

What conclusion can be drawn if f(x) and f(-x) yield the same result?

• The function is even.

• The function is undefined.

• The function is odd.

• The function is linear.