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Question 174147This question is from textbook
: can you please let one more time please thank you in advance
Evaluate the functions for the values of x given as 1, 2, 4, 8, and 16. Describe the differences in the rate at which each function changes with increasing values of x.
f(x) = 2x^3 + 7x^2 -x-1
This question is from textbook
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Evaluate the functions for the values of x given as 1, 2, 4, 8, and 16. Describe the differences in the rate at which each function changes with increasing values of x.
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f(x) = 2x^3 + 7x^2 -x-1
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f(1) = 2 + 7 - 1 - 1 = 7 ; plot point (1,7)
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f(2) = 2(2^3) + 7*2^2 -2 - 1
= 2*8 + 7*4 -3 = 16 + 28 - 3 = 41 ; plot point (2,41)
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f(4) = 2(4^3) +7*4^2 - 4 - 1
= 2*64 + 7*16 - 5 = 235 ; plot point (4,235)
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f(8) = 2(8^3) + 7(8^2) -8 - 1 = 1463 ; plot point (8,1463)
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f(16) = 9967 ; plot point (16,9967)
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The function is increasing at a pregressively faster and faster pace
as x increases from one to 16.
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Cheers,
Stan H.
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