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If f(x) is a third degree polynomial function and g(x) = f(−2x), which of the following is NOT true?

F f(x) and g(x) have the same x-intercepts.
G f(x) and g(x) have the same y-intercept.
H f(2) = g(−1)
J f(x) and g(x) have the same
number of zeros.

User Altons
by
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1 Answer

4 votes

Answer:

F

Explanation:

F. False. The graph of
g involved performing a horizontal compression on the graph of
f.

G. True. Setting
x=0 yields
g(0)=f(0).

H. True. Set
x=-1.

J. True. The horizontal compression does not change the number of their roots, just the location.

User Avijendr
by
8.3k points

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