Which function equation is represented by the graph?

A. f(x)=12(4/3)^x
B. f(x)=12(3/2)^x
C. f(x)=12(2/3)^x
D. f(x)=12(1/2)^x

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altavistard altavistard · Answer 1 · 2019-01-05T00:38:57+01:00

Answer:

C: . f(x)=12(2/3)^x

Step-by-step explanation:

Notice the dot on the graph at (1,8). This tells us that when x = 2, y = 8.

Furthermore, the decreasing property of this graph tells us that the common ratio is a fraction between 0 and 1.

We must then eliminate answers A and B, since in each the common ratio is greater than 1.

Take a look at C: f(x) = 12(2/3)^x. If x = 1, f(x) = f(1) = 12(2/3)^1, or 12(2/3), or 8.

This result is true, so it is function C that is represented by the graph.

vintechnology vintechnology · Answer 2 · 2021-11-23T12:16:51+01:00

The function equation that is represented by the graph is f(x) = 12 (2/3)ˣ

2 coordinates can be noticed form the graph which are as follows:

(1, 8)(0, 12)

Therefore, inserting the value of x in the function can give us information on the right function of the graph.

f(x) = 12 (2/3)ˣ

Try (0, 12)

f(x) = 12 (2/3)⁰

f(x) = 12

Try (1, 8)

f(x) = 12 (2/3)¹

f(x) = 12 × 2 / 3

f(x) = 24 / 3

f(x) = 8

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