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mikomiko1616
@mikomiko1616
July 2022
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найдите область значения функции
y=3sin(x-π\4)+1
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oganesbagoyan
Verified answer
Найдите область значения функцииy=3sin(x-π\4)+1
-----------------------------
y=1+3sin(x-π\4)+1
. E(y) =
[ -2 ;4].
Функция у= sin(x
-
π/4) определена при всех x
.
ООФ:
x∈ (-∞;∞) .
-1 ≤ sin(x
-
π/4 )≤ 1 ;
-3 ≤ sin(x
-
π/4 )≤ 3;
-3 +1 ≤ sin(x
-
π/4) +1 ≤ 3 +1 ;
-2 ≤ sin(x-π/4) +1 ≤ 4.
2 votes
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Answers & Comments
Verified answer
Найдите область значения функцииy=3sin(x-π\4)+1-----------------------------
y=1+3sin(x-π\4)+1. E(y) = [ -2 ;4].
Функция у= sin(x-π/4) определена при всех x . ООФ: x∈ (-∞;∞) .
-1 ≤ sin(x-π/4 )≤ 1 ;
-3 ≤ sin(x-π/4 )≤ 3;
-3 +1 ≤ sin(x-π/4) +1 ≤ 3 +1 ;
-2 ≤ sin(x-π/4) +1 ≤ 4.