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AleksandrR [38]
2 years ago
8

What is the correct maximum or minimum for the function f(x) = -|x-2| + 1

Mathematics
2 answers:
Usimov [2.4K]2 years ago
5 0

Answer:

1

Step-by-step explanation:

The graph is shifted up one unit

aniked [119]2 years ago
3 0

Answer:

  • f(max) = 1

Step-by-step explanation:

<u>Given function:</u>

  • f(x) = - |x - 2| + 1

<u>Since the value of the  |x - 2| can be zero or positive only, the graph has its maximum at x = 2:</u>

  • f(2) = 0 + 1 = 1
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IrinaK [193]
So, 4/3 - 2i

4/3 - 2i = 12/13 + i8/13

multiply by the conjugate: 
3 + 2i/3 + 2i
= 4(3 + 2i)/(3 - 2i) (3 + 2i)
(3 - 2i) (3 + 2i) = 13

(3 - 2i) (3 + 2i)

apply complex arithmetic rule: (a + bi) (a - bi) = a^2 + b^2
a = 3, b =  - 2
= 3^2 + (- 2)^2

refine: = 13
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distribute parentheses:
a(b + c) = ab + ac
a = 4, b = 3, c = 2i
= 4(3) + 4(2i)

Simplify:
4(3) + 4(2i)
12    +    8i


4(3) + 4(2i)
Multiply the numbers: 4(3) = 12
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Multiply the numbers: 4(2) = 8
= 12 + 8i


   12 + 8i
= 12 + 8i/13

Group the real par, and the imaginary part of the complex numbers:


Your answer is: 12/13 + 8i/13





Hope that helps!!!
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