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ddd [48]
2 years ago
11

Which of the following best describes the graph below?

Mathematics
1 answer:
Alex_Xolod [135]2 years ago
3 0
B. It is a many-to-one function.
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Using the Factor Theorem, which of the polynomial functions has the zeros 2, radical 3 , and negative radical 3 ? f (x) = x3 – 2
butalik [34]

To solve this question, we use the factor theorem, and using it, the polynomial function is:

f(x) = x^3 - 2x^2 - 3x + 6

------------------------------

The factor theorem means that if k is a root of f(x), f(k) = 0.

Thus, applying the factor theorem for this question, we have to choose the function for which: f(2) = 0, f(\sqrt{3}) = 0, f(-\sqrt{3}) = 0

------------------------------

Function 1:

f(x) = x^3 - 2x^2 - 3x + 6

Testing the values:

f(2) = 2^3 - 2(2)^2 - 3(2) + 6 = 8 - 8 - 6 + 6 = 0

f(\sqrt{3}) = \sqrt{3^3} - 2(\sqrt{3})^2 - 3\sqrt{3} + 6 = \sqrt{3^2\times3} - 6 - 3\sqrt{3} + 6 = 3\sqrt{3} - 3\sqrt{3} = 0

f(-\sqrt{3}) = -\sqrt{3^3} - 2(-\sqrt{3})^2 - 3(-\sqrt{3}) + 6 = -\sqrt{3^2\times3} - 6 + 3\sqrt{3} + 6 = -3\sqrt{3} + 3\sqrt{3} = 0

Thus, since all three conditions are satisfied, f(x) = x^3 - 2x^2 - 3x + 6 is the polynomial function.

A similar question is given at brainly.com/question/11378552

5 0
2 years ago
F(x)=x^2. What is g(x)?
Alenkasestr [34]

Answer:

C

Step-by-step explanation:

X vertex = (0, - 3)

ax² + bx + c = y

0.x² + b.0 + c = - 3

c = - 3

Then:

The graphic of g(x) is the a one is negative, because the curve is below.

Then:

g(x) = - x² - 3

I hope I've helped you.

I hope you understand my English ^^

5 0
2 years ago
The image shows the distances in miles between three cities. How much closer is it to travel from Aurora to Clifton directly tha
murzikaleks [220]

Answer:

First we need to calculate the distance between Clifton and Burlington by using Pythagorean theorem:

    x² + 65² = 97²

=> x²           = 97² - 65²

=> x²           = 5184

=> x             = √5184 = 72 (m)

The total distance from Aurora to Clifton through Burlington is: 65 + 72 = 137 (m)

We have: 137 - 97 = 40 (m)

So it is 40 m  closer to travel from Aurora to Clifton directly than from Aurora to Clifton through Burlington

7 0
3 years ago
Observa los números que están en el
kotykmax [81]

Answer:

sorry we can't understand this language very very sorry

5 0
3 years ago
Can someone help me please ?!!
mestny [16]

Answer:

Not sure sorry

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
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