Select the lines that represent functions

B,D and E are functions.

Step-by-step explanation:

" A function is a process or a relation that associates each element x of a set X, the domain of the function, to a single element y of another set Y (possibly the same set), the codomain of the function "

From the graph we can also check that any line passing through the domain and parallel to co-domain should intersect the graph exactly once.

Clearly from the graph of the functions we could see that:

Graph A:

Has many images corresponding to x= -6.

Hence, A is not a function.

Graph B:

B is a function as corresponding to every point in domain the image is unique. Also by making a line passing through the domain and parallel to the codomain the line intersect the graph exactly at one point.

Graph C:

C is not a function as it has two images for some points.

Graph D:

D is a function as it has unique image corresponding to every x-value.

Graph E:

E is also a function as it has unique image corresponding to every x-value.

he has now walked a total of what?

if i know what this is maybe i can

step-by-step explanation:

step-by-step explanation:

part a. the differences are decreasing, so we know the sequence is not arithmetic. the ratios are constant (=3/4), so we know the sequence is geometric.

part b. from part a, we know the common ratio is 3/4, so each term is 3/4 of the one before. the initial term is the number of gallons at h=1.

g[h] = (3/4)·g[h-1]

g[1] = 384 . . . . initial value required for a recursive definition

part c. the general formula for a geometric sequence is

a[n] = a[1]·r^(n-1)

we have a[1] = 384, r = 3/4, and the term number given by h. the formula that follows is

g[h] = 384·(3/4)^(h-1)

part d. filling in the value and doing the arithmetic, we have

g[12] = 384·(3/4)^11 ≈ 384·0.042235136 ≈ 16.2183 . . gallons

part e. each gallon is 4 quarts, so

16.2183 gal × 4 qt/gal = 64.8732 qt