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The function is f(x) = [2/3] [6^x]
It is an exponential function whose range is all the positive values. This is, for any value of x that exponential function yields a value that is greater than 0. The graph never crosses the x-axis.
When you reflect the function over the x-axis, you flip the graph over x, and you can see that the range of the new fucntion iis all the negative values, this is all the real numbers less than zero.
Answer: all the real numbers less than zero.
so at 8AM the temperature was less than -7C, so recall that on the negative side, the farther from 0, the smaller, so that number could be say -8C, or -9C or -10C or even say -20C, all those are lesser than -7C, and therefore colder as well.
let's say it was -20C, by noon it went up by 7C, so it became -20 + 7 = -13, well, -13C is still less than -7C, so that'd be true for the B) statement.
let's say it was -10C, by noon it went up by 7C, so it became -10 + 7 = -3, well, -3 is more than -7 and less than 0, so that'd be true for the D) statement.