Cc-26 Polynomial Functions Examples And Worksheet - Common Core Page 8
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8C
Challenge
55. Copy and complete the table, which shows the first and second
st
nd
x
y
1
diff.
2
diff.
differences in y-values for consecutive x-values for a polynomial
function of degree 2.
3
14
8
2
56. The outputs for a certain function are 1, 2, 4, 8, 16, 32, and so on.
2
6
2
a. Find the first differences of this function.
1
2
4
b. Find the second differences of this function.
0
2
4
2
c. Find the tenth difference of this function.
1
2
0
d. Can you find a polynomial function that matches the original
outputs? Explain your reasoning.
2
6
3
57.
Reasoning
A cubic polynomial function f has leading coefficient
2 and constant term 7. If f (1) = 7 and f (2) = 9, what is f ( -2)?
Explain how you found your answer.
125
Lesson H-8 Polynomial Functions
125
CC-26 Polynomial Functions
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