Which set of ordered pairs could be generated by an exponential function? • (-44),(0,0), (1.4),(2,1) (-1,...
Knowledge Check The table of ordered pairs (x, y) gives an exponential function. Write an equation for the function. x y -1 6 0 12 1 1 24 2. 48 88 O х ? I Don't Know Submit
(b) Let F, G and H be the following sets of ordered pairs F {(1,1), (2, 2), (3,7), (4,1)} G {(1,1), (2, 1) (3, 2), (3,3), (4,2)} н 3 {(1,1), (2, 3), (3, 4), (4, 2)} (i) Does F define a function f :{1,2,3,4} (ii) Does G define a function g : {1,2,3,4} (iї) Does H define a function h : {1,2,3,4} —> {1, 2, 3, 4}? (iv) For those of f, g and h that are functions, write down...
For each set of ordered pairs, indicate whether it is a function. If not, briefly explain why it is not a function. (a) { (2, 2) , (2, -3) , (2, 0) } (b) { (2, 2) , (-3, 2) , (0, 2) } (c) { (2, 2) , (-3, -3), (0, 0) }
Which table shows ordered pairs that satisfy the function y = 2x + 1? A x 0 2 1 4 6 & 2 ОВ IS 1 y 0 1 3 2 5 Ос 0 -1 0 2 1 1 D 0 2 1 0 2 2
QUESTION 12 Consider the function f defined by the following set of ordered pairs: f = {(-3,2), (4,5), (7,4), (10, 19)}. Find f1(4). 7
VECTOR SPACES LINEAR ALGEBRA Let V be the set of all ordered pairs of real numbers, and consider the following addition and scalar multiplication operations on u = (u1, u2) and v = (v1, v2): u + v = (u1 + v1 + 1, u2 + v2 + 1), ku = (ku1, ku2) a) Show that (0,0) does not = 0 b) Show that (-1, -1) = 0 c) Show that axiom 5 holds by producing an ordered pair -u...
0. (7 points) List the ordered pairs in the equivalence relation on the set {1,2,3,4} which has equivalence classes {1}, {2,3,4} .
3 1 3 -4 (a) Write a set of ordered pairs (x, y) that defines the relation. (b) Write the domain of the relation. (c) Write the range of the relation. (d) Determine if the relation defines y as a function of x.
Identify which sets of quantum numbers are valid for an electron. Each set is ordered (n,ℓ,mℓ,ms). Check all that apply. A) 4,3,3, -1/2 B) 4,3,-4, 1/2 C) 2,2,1, 1/2 D) 3,2,1,1 E) 2,-1,1, -1/2 F) 3,2,-1, -1/2 G) 3,0,0, 1/2 H) 2,1,-1, -1/2 I) 1,1,0, 1/2 J) 1,2,0, -1/2 K) 0,2,1, 1/2 J) 3,0,0, 1/2
Identify which sets of quantum numbers are valid for an electron. Each set is ordered (n,ℓ,mℓ,ms). Check all that apply. 2,1,-1,1/2 3,-2,-2,-1/2 3,2,-1,-1/2 0,2,1,-1/2 4,3,-4,1/2 2,2,1,-1/2 3,3,-2,-1/2 2,2,1,1/2 3,-2,-1,0 1,0,0,1/2 2,1,0,1/2 4,3,1,-1/2