Which set of numbers is the most reasonable to describe a person’s hat size? A: Integers. B: Whole numbers. C: Irrational number
2 answers:
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Part A
A good scale for y to use would be 100, since it fits in all of the f(x)'s and the next value (243) is obviously not going to fit.
As for x, you can use 4 or 5. If you do 5, you're not going to get to it though, because f(x) will be 243.
Part B
When our input increases by 1, our output multiplies by 3.
Multiplying by 3
times can be represented as 
.
We start at 1, so we'd want to have
. However, 1 times anything doesn't change its value, so we can leave it out because it is redundant.
As for making the graph, just label your y axis 0 to 100, and your x axis 0 to 5.
Then mark out (0, 1), (1, 3), (2, 9), (3, 27), and (4, 81).
Draw a curve that includes all of these. It should hit y=100 a little after x=4, since x=5 is all the way at y=243.
A good scale for y to use would be 100, since it fits in all of the f(x)'s and the next value (243) is obviously not going to fit.
As for x, you can use 4 or 5. If you do 5, you're not going to get to it though, because f(x) will be 243.
Part B
When our input increases by 1, our output multiplies by 3.
Multiplying by 3
We start at 1, so we'd want to have
As for making the graph, just label your y axis 0 to 100, and your x axis 0 to 5.
Then mark out (0, 1), (1, 3), (2, 9), (3, 27), and (4, 81).
Draw a curve that includes all of these. It should hit y=100 a little after x=4, since x=5 is all the way at y=243.