Use two points to write an equation for each function shown need filling this ! ?

The required answer for blank 1 is , for blank 2 is , for blank 3 is 0, for blank 4 is 1 and for blank 5 is .

Step-by-step explanation:

From the given table it is noticed that the value of function f(x) at x=-1 is 2 and the value of function f(x) at x=-2 is 4.

The exponential function is defined as

Where, a is initial value and b is growth factor.

Therefore the required answer for blank 1 is .

So, the growth rate is .

Since a is the initial value, therefore

Therefore the exponential function is

Therefore required answer for blank 1 is , for blank 2 is , for blank 3 is 0, for blank 4 is 1 and for blank 5 is .

it shoild be o

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