Which function is graphed below?
A) y=1/3(3)^x
B) y=3(1/3)^x
C)y=(1/2)^x+2
D) y=(2)^x-1

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Respuesta :

choixongdong choixongdong · Answer 1 · 2019-06-12T18:43:48+02:00

Answer:

B) y=3(1/3)^x

Step-by-step explanation:

Based on the graph, y intercept = 3

So you can plug in x =0 in each functions given in the options to see which one has y-intercept = 3

y= 3 (1/3)^x ; when x = 0, y = 3 * 3^0 = 3 * 1 = 3

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shirleywashington shirleywashington · Answer 2 · 2019-07-08T08:07:54+02:00

Answer:

The correct option is B) [tex]y=3(\frac{1}{3})^{x}[/tex]

Step-by-step explanation:

Consider the provided graph:

The general formula for equation of exponential decay is: [tex]y=ab^{x}[/tex] where [tex]b<1[/tex]

The graph of exponential decay [tex]y=ab^{x}[/tex] where [tex]b<1[/tex] as shown in figure 1:

From the figure 1, it is clear that a represents the y intercept and the coordinates are (0,a).

Now, consider the provided Graph:

The y intercept is (0,3)

Therefore, the value of a must be 3.

Now, consider the provided options, only option B) has the value of a = 3.

Therefore, the correct option is: B) [tex]y=3(\frac{1}{3})^{x}[/tex] .