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The ordered pairs (1,3), (2,9), (3,27), (4,81), and (5,243) represent a function. what is a rule that represents this function?

a. y+x^3
b. y=3x
c. y+ 3^x
d. y= x+3


Sagot :

[tex]A. \\ y=x^3 \\ \\ (1,3) \\ 3=1^3 \\ 3=1 \\ not \ true[/tex]

[tex]B. \\ y=3x \\ \\ (1,3) \\ 3=3 \times 1 \\ 3=3 \\ true \\ \\ (2,9) \\ 9=3 \times 2 \\ 9=6 \\ not \ true[/tex]

[tex]C. \\ y=3^x \\ \\ (1,3) \\ 3=3^1 \\ 3=3 \\ true \\ \\ (2,9) \\ 9=3^2 \\ 9=9 \\ true \\ \\ (3,27) \\ 27=3^3 \\ 27=27 \\ true \\ \\ (4,81) \\ 81=3^4 \\ 81=81 \\ true \\ \\ (5,243) \\ 243=3^5 \\ 243=243 \\ true[/tex]

[tex]D. \\ y=x+3 \\ \\ (1,3) \\ 3=1+3 \\ 3=4 \\ not \ true[/tex]

The answer is C.

Answer:

C

Step-by-step explanation: