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4 years ago

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]4 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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3 years ago

The cost of labor for servicing cars at B&B Automotive is $50 for each whole hour or for any fraction of an hour. There is a

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Answer:

Step-by-step explanation:

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4 years ago

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Step-by-step explanation:

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2 years ago

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EleoNora [17]

Answer:

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Step-by-step explanation:

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A positive fraction $(p/q)$ ( $p,\, q > 0$ ) is less than $1$ as long as the numerator $p$ is smaller than the denominator $q$ (that is, $p < q$ .) The reason is that as long as $p,\, q > 0$ :

$\begin{aligned} & \frac{p}{q} < 1 \\ \iff & (q)\, \left(\frac{p}{q}\right) < (q)\, (1) && (\text{given that $q > 0$}) \\ \iff & p < q\end{aligned}$ .

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1 year ago

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Tom [10]

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3 years ago

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