Answer:
The translated function can be written as:
y = f(x) + 4
Answer:
true
Step-by-step explanation:
A good place to start is to set
to y. That would mean we are looking for
to be an integer. Clearly,
, because if y were greater the part under the radical would be a negative, making the radical an imaginary number, not an integer. Also note that since
is a radical, it only outputs values from
, which means y is on the closed interval:
.
With that, we don't really have to consider y anymore, since we know the interval that
is on.
Now, we don't even have to find the x values. Note that only 11 perfect squares lie on the interval
, which means there are at most 11 numbers that x can be which make the radical an integer. All of the perfect squares are easily constructed. We can say that if k is an arbitrary integer between 0 and 11 then:

Which is strictly positive so we know for sure that all 11 numbers on the closed interval will yield a valid x that makes the radical an integer.
Find all solutions for w by breaking the absolute value into the positive and negative components.
w = 7, -1
Hope this helps! :)
Answer:
Yes!
Step-by-step explanation:
It is because your still getting the same number 3 because even though your multiplying and dividing it still works