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whitethunder05
28.07.2019 •
Mathematics
Across section of a parabolic glass mirror of the hubble space telescope shown can be modeled by the graph of the function y=0.0043x^2 where x and y are measured in meters. find the domain and range of the function in this situation
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Ответ:
Let's take a look at the function
y=0.0043x²
The domain is all real numbers because there are no variables in the denominator or under a radical!
domain: (-∞,∞)
Now for the range, let's find the inverse function.
Switch x and y...
x=0.0043y²
Now solve for y...
x/0.0043=y²
sqrt(0.0043/x)=y
Now because the denominator CANNOT multiply to 0, set the denominator equal to 0 to see what x CAN'T be. This means that x cannot be 0 so the range is all reals besides 0.
Range: (-∞,0)U(0,∞)
I really hope this helps!
Best wishes :)
NOTE: if you need an explanation as to WHY though find the inverse function's domain to get the Original function's range, feel free to message me!
Ответ:
(1+1+3)*3=x*2= 30!
so 30 is your answer