Respuesta :

Answer:

The answer to your question is    y = 2[tex].^{x}[/tex] + 5

Step-by-step explanation:

Because of the distribution of the points, we conclude that it is an exponential function so we discard the third option (it's a linear function) and the fourth option (it's a quadratic function)

- To solve this problem, evaluate functions 1 and 2 using the x-coordinates and compare the results with the graph

                       y = 2[tex].^{x}[/tex] + 5                              y = 4[tex].^{x}[/tex] + 8

1                       y = 2 + 5 = 7                           y = 12

3                      y = 8 + 7 = 15                         y = 21 + 8 = 29

5                      y = 32 + 7 = 39                      y = 1024 + 8 = 1032

7                      y = 128 + 7 = 135                    y = 16384 + 8 = 16392

9                      y = 512 + 7 = 512                    y = 262144 + 8 = 262152

11                      y = 2048 + 7 = 2055             y = 4194312 + 8 = 4194320

13                     y = 8192 + 7 = 8199                y = 67108864 + 8 = 67108872

15                     y = 32768 + 7 =  32775         y = 1073741832 + 8 = 1073741840

Comparing the result with the graph, we conclude that the answer is the first choice.

   

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