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I am Lyosha [343]
4 years ago
7

" alt="f(x) = |x - 4| + 2" align="absmiddle" class="latex-formula">
help. how to sketch the graph

Chemistry
1 answer:
Brilliant_brown [7]4 years ago
7 0

f(x) = |x-4| + 2

|a| ≥ 0 ∀ a∈R

That means the minim of the function will be when |x-4|=0 ⇒ x = 4

f(4) = |4-4|+2

f(4) = 2 ⇒ M(4,2) - minim point

<em>We notice that the function f is ascending for x ∈ [4,+∞) and is descending for x ∈ (-∞,4]</em>

Because the function is linear,the sketch of the graph will be 2 lines with the intersection in the point M(4,2) (in our case).

Let's find f(0) = |0-4|+2 = 4+2 = 6 ⇒ N (0,6) is the intersection of the function with Oy axis. (now we can sketch the graph only for x ∈(-∞,4] )

Now let's calculate the function for a value bigger than 4 : for example f(5) = 3 ⇒ P (5,3) ∈ Gf

So you can see the graph in the picture.Have a nice day :)

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How does the atomic radius of an element is related to its metallic character
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The large the atomic radius the more the metallic character of elements

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How many molecules of Acetic Acid (CH3COOH) are in a sample that has a mass of 172.90 g?
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17.46× 10²³ molecules

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First of all we will calculate the number of moles of acetic acid :

Number of moles = mass / molar mass

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Number of moles = 2.9 mol

Now the given problem will solve by using Avogadro number.

The number 6.022 × 10²³ is called Avogadro number.

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2.9 mol × 6.022 × 10²³ molecules  / 1 mol

17.46× 10²³ molecules

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Makovka662 [10]

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The neutron is 30

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Therefore, the neutron number = Mass number - Proton number (i.e. atomic number)

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  Neutron number            = 30

4 0
3 years ago
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