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BartSMP [9]
2 years ago
12

Which function has the following characteristics?

Mathematics
1 answer:
Lelechka [254]2 years ago
6 0

Answer:

Which function has the following characteristics?

- A vertical asymptote at x=3

- A horizontal asymptote at y=2

- Domain: {x ≠ ±3}

A. y= (2x-8) / (x-3)

B. y= (2x^2 - 8) / (x^2 - 9)

C. y= (x^2 - 9) / (x^2 - 4)

D. y= (2x^2 - 18) / (x^2 - 4)

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Answer:   \bold{C)\ -\dfrac{1}{2}}

<u>Step-by-step explanation:</u>

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Consider the quadratic function f(x)=x²-5x+12. Which statements are true about the function and its
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There is only one statement that is true: B. The graph of the function is a parabola.

<h3>How to study and interpret the characteristics of quadratic equations</h3>

In this question we have a <em>quadratic</em> equation, whose characteristics have to be inferred and analyzed. We need to prove each of the five choices presented in the statement:

Choice A:

If we know that x = - 10, then we evaluated it at the function:

f(- 10) = (- 10)² - 5 · (- 10) + 12

f(- 10) = 162

False

Choice B:

By analytical geometry we know that all functions of the form y = a · x² + b · x + c always represent parabolae.

True

Choice C:

The <em>quadratic</em> function opens up as its <em>leading</em> coefficient is greater that 0.

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Choice D:

If we know that x = 20, then we evaluate it at the function:

f(20) = 20² - 5 · (20) + 12

f(20) = 312

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Choice E:

If we know that x = 0, then we evaluate it at the function:

f(0) = 0² - 5 · (0) + 12

f(0) = 12

There is only one statement that is true: B. The graph of the function is a parabola.

To learn more on quadratic equations: brainly.com/question/1863222

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