Translate the phrase into an expression: 11 more than one third of a number
1 answer:
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Answer:
Step-by-step explanation:
To solve this, we are using the average rate of change formula:
where
is the average rate of change
is the first point
is the second point
is the function evaluated at the first point
is the function evaluated at the second point
We want to know the average rate of change of the function form x = -3 to x = 0, so our first point is -3 and our second point is 0. In other words,
and
.
Replacing values
We can conclude that the average rate of change of the exponential equation form x = -3 to x = 0 is
We have a domain of a function, that is, which x-es can we throw in. But we are asking which y-s will we get given that we can only throw x-es in .
Let's try even though we are forbidden to put 4 inside
we are still able to do so.
So what we just got is the upper limit of the range. The lower limit is
.
So the range is just .
Hope this helps :)