Answer:
f(x) = 0, -2, 4, 18
Step-by-step explanation:
It is convenient to let a graphing calculator or spreadsheet do the repetitive calculations for you. The filled-in table is attached.
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Additional comment
When evaluating polynomial functions by hand, it is convenient to write them in "Horner form."
f(x) = (x +5)x +4
f(-4) = (-4 +5)(-4) +4 = -4 +4 = 0
f(-2) = (-2 +5)(-2) +4 = -6 +4 = -2
f(0) = 4 . . . . the constant term
f(2) = (2 +5)2 +4 = 14 +4 = 18
