3 years ago

I really need number 11 , the answers and steps please. If anyone wants to help me with number 12 go ahead tho

1 answer:

6 0

Basically, the distance of roots to the axis of symmetry are the same to each other. Other root is -5.6. Hope this help.

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max2010maxim [7]

As for the domain, the only restriction comes from the logarithm. The argument of a logarith must be strictly positive, so we have

$x-2>0 \iff x>2$

As for the range, we have:

The range of $\log(x)$ are all real numbers
If we change to $\log(x-2)$ we're translating the function horizontally, so the range remains the same
If we change to $\log(5(x-2()$ we're stretching the function horizontally, so the range doesn't change
If we change to $\log(5(x-2))+1$ we're translating the function 1 unit up, but the range is already all the real numbers, so it doesn't change.