Which graph is the sequence defined by the function f(x) = 3(2)x-1?
A.
On a coordinate plane, 5 points are plotted. The points are (0, 2), (1, 6), (2, 18), (3, 54), (4, 162).
B.
On a coordinate plane, 5 points are plotted. The points are (1, 2), (2, 6), (3, 18), (4, 54), (5, 162).
C.
On a coordinate plane, 6 points are plotted. The points are (0, 3), (1, 6), (2, 12), (3, 24), (4, 48), (5, 96).
D.
On a coordinate plane, 5 points are plotted. The points are (1, 3), (2, 6), (3, 12), (4, 24), (5, 48).

On a coordinate plane, 5 points are plotted. The points are (1, 3), (2, 6), (3, 12), (4, 24), (5, 48).

Given that,

We have to determine,

Which graph is the sequence defined by the function?

According to the question,

To determine the graph is the sequence defined by the function following all the steps given below.

On a coordinate plane, 6 points are plotted.

1. Substitute the point x = 0 in the function,

2. Substitute the point x = 1 in the function,

3. Substitute the point x = 2 in the function,

4. Substitute the point x = 3 in the function,

5. Substitute the point x = 4 in the function,

6. Substitute the point x = 5 in the function,

Hence, On a coordinate plane, 5 points are plotted. The points are (1, 3), (2, 6), (3, 12), (4, 24), (5, 48).

For more details refer to the link given below.

link

D.

On a coordinate plane, 5 points are plotted. The points are (1, 3), (2, 6), (3, 12), (4, 24), (5, 48).

Step-by-step explanation:

f(x) = 3 × 2^(x - 1)

x = 1, f(x) = 3 × 2^0 = 3

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step-by-step explanation:

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4