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

Hello there!

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!

First, think of what you know. you know that the number t the end of the equation will need to be subtracted because it is the money he lost from buying the lawn mower. and your first two weeks have negative profit, so that tells you that c and d are wrong. now you can plug any of the weeks into a and b to see which one works. i'll start with plugging week 1 into a.this isn't right because it says your answer for week one should be -90.so now we need to try the same thing with b.this one got you the right answer, (sometimes if you only check with one of the weeks multiple will work so you need to check with more of the weeks, but it worked out fine here)this means that b is the correct answer.let me know if you need more clarification. i hope this : )

You just divide and you will find x