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muminat
2 years ago
7

52. What is the range of the function f(x) = x2 - 6when the domain is {3,4,5} ?​

Mathematics
1 answer:
weeeeeb [17]2 years ago
4 0

Answer:

{0,2,4}

Step-by-step explanation:

when you plug the domain for x, you get

0, 2, and 4.

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G(x) = -2x^3 – 15x^2 + 36x
shusha [124]

Consider the function G(x) = -2x^3 - 15x^2 + 36x. First, factor it:

G(x) = -2x^3 - 15x^2 + 36x=-x(2x^2+15x-36)=\\ \\=-x\cdot 2\cdot \left(x-\dfrac{-15-\sqrt{513}}{4}\right)\cdot \left(x-\dfrac{-15+\sqrt{513}}{4}\right).

The x-intercepts are at points \left(\dfrac{-15-\sqrt{513} }{4},0\right),\ (0,0),\ \left(\dfrac{-15+\sqrt{513} }{4},0\right).

1. From the attached graph you can see that

  • function is positive for x\in \left(-\infrty, \dfrac{-15-\sqrt{513} }{4}\right)\cup \left(0,\dfrac{-15+\sqrt{513} }{4}\right);
  • function is negative for x\in \left(\dfrac{-15-\sqrt{513} }{4},0\right)\cup \left(\dfrac{-15+\sqrt{513} }{4},\infty\right).

2. Since

G(-x) = -2(-x)^3 - 15(-x)^2 + 36(-x)=2x^3-15x^2-36x\neq G(x)\ \text{and }\neq -G(x) the function is neither even nor odd.

3. The domain is x\in (-\infty,\infty), the range is y\in (-\infty,\infty).

8 0
3 years ago
Read 2 more answers
Copy and complete: b 7:8:9=__:12:_
kotykmax [81]

Answer:

10.5 : 12  : 13.5

Step-by-step explanation:

7:8:9

We need to get 8 to 12

12/8 = 3/2

We need to multiply each number by 3/2

7 * 3/2:8* 3/2  :9*3/2

21/2  : 12  : 27/2

10.5 : 12  : 13.5

7 0
3 years ago
Write 4.625 as a mixed number in simplest form
Zarrin [17]
4 625/1,000 to 4 25/40 to 4 5/8
4 0
3 years ago
Which of the following data sets has a range of 40?
jeka94

Answer:

The second answer - 40, 10, 20, 50

Step-by-step explanation:

Range is the difference between the largest and smallest number in a data set. The biggest and smallest numbers in the data set are 50 and 10, respectively. 50 - 10 = 40.

4 0
2 years ago
Read 2 more answers
To shift the graph of an equation some number of units to the __________, you
Zina [86]

Answer:

A

Step-by-step explanation:

it's A because if you're adding x from each number in the equation you would shift to the left causing the graph to become more positive but if you subtract x you would shift to the right causing the graph to become more negative.

5 0
2 years ago
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