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Answer :
A list of ordered pairs may or may not represent a function.
- The six ordered pairs are: [tex]\mathbf{(x,y) = \{(0,3),(1,6),(2,12),(3,24),(4,48),(5,96)\}}[/tex].
- The ordered pair is a function.
(a) The ordered pair
Let x represent the number of folds, and y represent the thickness.
So, the first ordered pair is:
[tex]\mathbf{(x,y) = (0,3)}[/tex]
When x increases by 1, the value of y gets doubled.
So, the six ordered pairs are:
[tex]\mathbf{(x,y) = \{(0,3),(1,6),(2,12),(3,24),(4,48),(5,96)\}}[/tex]
(b) Is the ordered pair, a function
In (a), we have:
Every x value has a different corresponding y value.
This means that the ordered pair is a function.
Read more about functions and relations at:
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Answer:
A. Graph attached
B. It's a function. One input has only one output, it passed the vertical line test.
Step-by-step explanation:
a₀ = 3 a₁ = 6 = 3 x 2¹ a₂ = 6 x 2 = 3 x 2² ..... aₙ = 3 x 2ⁿ
answer graph attached