Select the sets that are not functions. choose all that apply.  a = {(1, 2), (2, 3), (3, 4), (4, 5)} b = {(1, 2), (2, 1), (3, 0), (4, -1)} c = {(-1, 3), (0, 3), (1, 3), (2, 3)} d = {(1, 1), (1, 2), (1, 3), (1, 4)} e = {(6, 2), (7, 3), (6, -1), (5, 4)}

Answer with Step-by-step explanation:

A function is a map from a set A to another set B such that

the image of any point in a has a unique image in set B.

A = {(1, 2), (2, 3), (3, 4), (4, 5)}

It is a function since image of 1,2,3 and 4 is unique.

B = {(1, 2), (2, 1), (3, 0), (4, -1)}

It is  a function since image of 1,2,3 and 4 is unique.

C = {(-1, 3), (0, 3), (1, 3), (2, 3)}

It is  a function since image of -1,0,1 and 2 is unique.

D = {(1, 1), (1, 2), (1, 3), (1, 4)}

It is  not a function since image of 1 is not unique.

E = {(6, 2), (7, 3), (6, -1), (5, 4)}

It is  not a function since image of 6 is not unique.

Hence, sets that are not functions are:

D = {(1, 1), (1, 2), (1, 3), (1, 4)}

E = {(6, 2), (7, 3), (6, -1), (5, 4)}

g(x) = x² + 2

step-by-step explanation:

it is given that the graphs are the same shape.

the only difference is that the red graph is 2 units higher than the blue graph.

that is to say that the red graph is simply the blue graph that has been moved vertically by 2 units in the positive y direction.

hence

g(x) = f(x) + 2

or

g(x) = x² + 2

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet