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vladimir1956 [14]
3 years ago
5

Algebra 2 please help

Mathematics
1 answer:
elena-14-01-66 [18.8K]3 years ago
4 0

Answer:

4th option

Step-by-step explanation:

(f - g)(x)

= f(x) - g(x)

= \sqrt{16x^4} - (3x² - 3x - 5)

= 4x² - 3x² + 3x + 5 ← collect like terms

= x² + 3x + 5

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Please help me answer this question. Show steps and explain
salantis [7]

Your problem statement makes no reference to p or q, so we can only guess that "p/q" refers to the ratio of the lowest- and highest-degree coefficients:

... -6/1

Then the factors of p/q are the factors of 6, with either sign.

Factors of p/q: ±1, ±2, ±3.

There are a number of ways the factors can be tested. To test 1, simply add the coefficients. (The sum is -8.) To test -1, subtract the sum of odd-degree coefficients from the sum of even-degree coefficients. (The difference is 0.)

Knowing that -1 is a root of the function, you can use synthetic division to find the quadratic factor. (See the first attachment for the work.) Then you have ...

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You can continue to test the factors of p/q, or you can factor the quadratic to get ...

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Another way to test the factors is to program your graphing calculator to evaluate the function f(x) for those factors. The result from my TI-84 is shown in the second attachment. That shows f(x) = 0 for x = -3, -1, and +2.

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Of course, the y-intercept is just the constant in the function—the value of the function when x=0.

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End behaviors: f(x) goes to -∞ as x goes to -∞; f(x) goes to +∞ as x goes to +∞.

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A graph of f(x) is shown in the third attachment. (Graphing calculators make it easy to use graphing to find x-intercepts.)

3 0
3 years ago
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Answer:

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Step-by-step explanation:

Domain means of function is the set of all possible inputs for function

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