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Mrrafil [7]
2 years ago
12

i o n f e h y=x3- 3x2- 9 x + 2 The largest and smallest values ​​of the function [ - 2 ; 4 ]At intervals.

Mathematics
1 answer:
Oksana_A [137]2 years ago
7 0

Answer:

Step-by-step explanation:

Given the function :

y=x³ - 3x² - 9x + 2. The largest and smallest values ​​of the function at interval [-2, 4]

We substitute x values in the interval (-2 to 4) into the equation and solve for y

At x = - 2

y = (-2)³ - 3(-2)² - 9(-2) + 2 = 0

At x = - 1

y = (-1)³ - 3(-1)² - 9(-1) + 2 = 7

At x = 0

y = (-0)³ - 3(-0)² - 9(-0) + 2 = 2

At x = 1

y = (1)³ - 3(1)² - 9(1) + 2 = - 9

At x = 2

y = (2)³ - 3(2)² - 9(2) + 2 = - 20

At x = 3

y = (3)³ - 3(3)² - 9(3) + 2 = - 25

At x = 4

y = (4)³ - 3(4)² - 9(4) + 2 = - 18

Function is greatest at

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Is known that

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(x + 4)² = x² + 2.x.4 + 4² = x² + 8x + 16

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2 years ago
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sammy [17]

Answer: The range is [3, infinity).

Step-by-step explanation: The "[" means that it is apart of the graph. The ")" means it is not apart of the graph.

The graph's range (which is it's highest lowest to highest y-value), the lowest is 3 on the y axis, and then stems on to infinity. The reason why infinity is not apart of the graph is because it has no end and infinity is not a number.

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1 year ago
Y=2x-4 how do i find this solution?
True [87]

Answer:

2

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                                             2x = 4

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3 0
2 years ago
Someone explain it please
Alina [70]

9514 1404 393

Answer:

  ∠A = 44°

Step-by-step explanation:

In order to find the measure of angle A, you need to know the value of the variable x. This means you need some relation that you can solve to find x.

Happily, that relation is "the sum of angles in a triangle is 180°." This means ...

  84° +(x +59)° +(x +51)° = 180°

  (2x + 194)° = 180° . . . collect terms

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Now, the measure of angle A is ...

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4 0
3 years ago
Evaluate the expression. 0.1×( – 0.9+ – 0.2÷ – 0.5) Write your answer as an integer or a decimal. Do not round.
matrenka [14]

Answer:

-0.05

Step-by-step explanation:

Given the expression :

0.1×( – 0.9+ – 0.2÷ – 0.5)

Evaluating the bracket :

0.1 * (-0.9 - 0.2 ÷ - 0.5)

Solving the division first

-0.2 ÷ - 0.5 = 0.4

Now we have ;

0.1 * (-0.9 + 0.4)

0.1 * - 0.5

= - 0.05

4 0
2 years ago
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