The following table represents a function.

x y
-2 -1/8
-1 -1/2
0 -2
1 -8
2 -32

which exponential function does this table represent?

a. y = 8(4)^(x-1)
b. y = -8(4)^(x-1)
c. y = 8(1/4)^(x-1)
d. y = -8(1/4)^(x-1)

Step-by-step explanation:

To find the right exponential function, we can just take x-values an replace them into the given functions. The one that give the correct y-values will be the answer.

For , let's see which function gives

You can observe that function A is not the correct one, because it gives a positive result. However, function B can actually be the answer, because it woud give the same y-value than A but negative, as we need. Let's see

Let's evalute for

Which is right.

Therefore, the right answer is B.

g = (2, 2)

step-by-step explanation:

given the ratio is 1 : 1 then f is the midpoint of eg

let the coordinates of g = (x, y)

using the midpoint formula

(0 + x) = 1 ( multiply both sides by 2 )

0 + x = 2 ⇒ x = 2

similarly

(4 + y) = 3 ( multiply both sides by 2 )

4 + y = 6 ( subtract 4 from both sides )

y = 2

coordinates of g = (2, 2)

do it yourself this is easy

step-by-step explanation: