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A polynomial function g(x) has a positive leading coefficient. Certain values of g(x) are given in the following table.
x –4 –1 0 1 5 8 12
g(x) 0 3 1 2 0 –3 0
If every x-intercept of g(x) is shown in the table and each has a multiplicity of one, what is the end behavior of g(x)?
a
As x→–∞, g(x)→–∞ and as x→∞, g(x)→–∞.
b
As x→–∞, g(x)→ –∞ and as x→∞, g(x)→∞.
c
As x→–∞, g(x)→∞ and as x→∞, g(x)→–∞.
d
As x→–∞, g(x)→∞ and as x→∞, g(x)→∞.
Sagot :
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