Question

what is the degree of the following function?
y = 25 - x²

Explanation:

Step1: Recall the definition of the degree of a polynomial function.

The degree of a polynomial function is the highest power (exponent) of the variable in the polynomial.

Step2: Analyze the given function \( y = 25 - x^{2} \).

In the function \( y = 25 - x^{2} \), we can rewrite it as \( y=-x^{2}+25 \). The variable here is \( x \), and the exponents of \( x \) in the terms are: for the term \( -x^{2} \), the exponent is 2, and for the constant term 25 (which can be thought of as \( 25x^{0} \)), the exponent is 0. The highest exponent among these is 2.

Answer:

2