Supposef: zz is defined by f(x) = 2x^2 + 1. a. explain using the definition of onto functions why the function f is or is not an onto function b. explain using the definition of one-to-one functions why the function f is or is not a 1-1 function

a. Since , the function is not onto because not every element in the codomain is represented by . For any , we have , so , which means there is no choice of such that .

b. is not one-to-one because there are infinitely many choices of for which . For example, and .

not only in mathematics, scientific proof also are required in the other field of science. also maths proofs are of particular structure, containing steps and logics. so proving is like doing science, it is science. that's why it is important to prove. 

an inaccurate proof leads to errors, or stating results that are not accurate.  which wil mess the probelm up you dont want this