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PIT_PIT [208]
2 years ago
10

The function f is given by the table of values as shown below.

Mathematics
2 answers:
lubasha [3.4K]2 years ago
7 0

Answer:3^x

9, 15, 33, 87, 249

(4, 87) for example

Step-by-step explanation:

a) First differences of the f(x) values in the table are ...

 19 -13 = 6, 37 -19 = 18, 91 -37 = 54, 253 -91 = 162

The second differences are not constant:

 18 -6 = 12, 54 -18 = 36, 162 -54 = 108

But, we notice that both the first and second differences have a common ratio. This is characteristic of an exponential function. The common ratio is 18/6 = 3, so the parent function is 3^x.

__

b) Translating a function down 4 units subtracts 4 from each y-value. The values of f(x) in the table would be ...

 9, 15, 33, 87, 249

__

c) The x-values of the function stay the same for a vertical translation, so the points in the table of the transformed function are ...

 (x, f(x)) = (1, 9), (2, 15), (3, 33), (4, 87), (5, 249)

i hope this helps

MArishka [77]2 years ago
4 0

Answer:

i think we have the same test but if im right this is the answer

Step-by-step explanation:

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