Let h : C N x N where C CZ given by h(m) = (m2 +1, m2 + 2). Choose all subsets C' such that h is an injective function. OC = {0, 1,2, 3, 4, 5, 6, 7} OC = N OC = (-11,11) nz OC = Z

Which of the following tables gives the values for f (r) if f (x) = Va +3? a) b) -3 -2 1 1 2 3 12 c) (x) d) -3 9 -2 1 16 1 25 3 3 36 O a O b 1 English P Type here to search Support I Schoology Blog I PRIV (3 15 10 18 19 t10 R

Find if the following is homothetic: F (x, y) = x²y + y3 1. Yes, it is homothetic. 2. No, it is not homothetic. Enter the number of the correct answer in the space provided.

Please explain each property (withs #'s) V Consider the function d: R² x R² → R defined by d(x, y): min{|y2 - x₂, 1} if x₁ = y₁ otherwise, for x = (x₁, x₂), y = (₁, 2) (That is, for example for x = (1,2) and y = (2,3), d(x, y) = 1, for x = (1, 2) and y = (1, 1.5), d(x, y) = 0.5, and for x = (1,2), y = (1, 3), d(x, y) = 1.) Is this a well-define metric on R²? Argue for each condition of a metric if it is satisfied and provide a justification or counterexample.