Theorem 1. Let e EN be a natural number and 2 its factorization into distinct primes with p 1 mod 4 and q, 3 mod 4. The {(a, b) EZ² | a² + b = cand a>0} if there crists jem) such that t, 1 mod 2 else a) Use Theorem 1 to detmerine the number of integral solutions of the poly nomial equation a+23400

Sample response: if the graph passes the horizontaline test, then the function is one to one. functions that are one to one have inverses that a therefore, the inverse is a hinction compare your response to the sample response above. what did you include in your explanation? a reference to the horizontal-line test d a statement that the function is one-to-one the conclusion that the inverse is a function done