The restriction of the given equation is , other than 0≤x≤2π.
What is restriction of equation?
Restriction of the equation is the value of domain where the value is limited.
Given,
taking common, we get
we know
we get,
and the restriction is 0≤x≤2π.
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Answer:
B) vertical stretch
Step-by-step explanation:
Given that the cost of manufacturing x refrigerators is given by the function .
Now it says that the cost doubles for the year 2011 owing to higher raw material prices. So that means cost function will change from f(x) to 2f(x).
Now we need to decide the type of transformation from f(x) to 2f(x).
Remember that when f(x) changes to a*f(x) where value of "a" is greater than 1 then it stretches the function vertically by factor of "a".
in 2f(x), we have a=2
So that means "B) vertical stretch" is the correct choice.
Answer:
a) Let .
Observe that
b)
Let
Observe that
c)
Let
Observe that
d)
Let
Observe that