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Vilka [71]
3 years ago
7

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

Mathematics
1 answer:
valina [46]3 years ago
8 0

Answer:

f(x) and g(x) have the same x-intercepts (is <em>not true</em>)

Step-by-step explanation:

g(x) is a reflection across the y-axis and a horizontal compression of f(x). In general those transformations will move the x-intercepts. (The y-intercept and the number of x-intercepts will remain unchanged.)

_____

<em>Comment on the question/answer</em>

f(x) = x^3 is a 3rd degree polynomial. When transformed to g(x) = -8x^2, its only x-intercept (x=0) remains the same. The answer above will not apply in any instance where the only x-intercept is on the line of reflection. (The question is flawed in that it does not make any exception for such functions.)

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