A cube has edges that are 3 inches in length. How many of these cubes will it take to completely fill a larger cube that has an
1 answer:
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Answer: Option C
Step-by-step explanation:
If the graph of the function represents the transformations made to the graph of
then, by definition:
If the graph moves vertically upwards.
If the graph moves vertically down
In this problem we have the function and our parent function is
therefore it is true that
Therefore the graph of is moves vertically upwards by a factor of 5 units.
The answer is the Option C: "The graph of g(x) is the graph of f(x) shifted up 5 units"
I believe the given limit is
Let
Now rewrite the expression as a difference of cubes:
Then
The limit is then equivalent to
From each remaining cube root expression, remove the cubic terms:
Now that we see each term in the denominator has a factor of <em>x</em> ², we can eliminate it :
As <em>x</em> goes to infinity, each of the 1/<em>x</em> ⁿ terms converge to 0, leaving us with the overall limit,