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navik [9.2K]
3 years ago
6

Which of the following represents the graph of y = x3 - 2x2 - 5x + 6?

Mathematics
1 answer:
Andrews [41]3 years ago
3 0
Hi there!
We are asked to find the graph that represents the cubic function y = x³ - 2x² - 5x + 6. To do this, we have to find the roots of the function, and we can do that by using the Rational Root Theorem, which is basically constant over the leading coefficient.
<u>+</u> 6 / <u>+</u> 1
Now, just list all the factors of 6 and replace that as the numerators.
Factors: 1, 2, 3, 6
<u>+</u>1, <u>+</u>2, <u>+</u>3, <u>+</u>6 / <u>+</u>1
Now, just simplify for each one. We get the possible roots: 1, -1, 2, -2, 3, -3, 6, -6. All we have to do now is plug each one back into the equation and see which ones turn out to evaluate the function to zero. After doing so, we get the roots 1, -2, and 3. Now, look for the graph that has x-intercepts of 1, -2, and 3, and the only graph that works is Graph B. Therefore, the graph that represents the function y = x³ - 2x² - 5x + 6 is Graph B. Hope this helps and have a marvelous day!
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a conical tank with vertex down is 10 feet across the top and 12 feet deep. If water is flowing out of the tank at a rate of 12
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The water level is dropping at a rate of 0.24 ft/s

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2 years ago
Write a function rule for the following arithmetic sequence and use it to find the 224th term. Show your work.
zavuch27 [327]

Answer:

671  is the 224th term of the given series

Step-by-step explanation:

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2,5,8,11....

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On solving the above equation we get

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5 0
3 years ago
Read 2 more answers
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