PLEASE HELP EXTRA POINTS / WRONG ANSWERS WILL BE REPORTED
1 answer:
Q1. The limit from the right is -4. (The limit from the left, and the value of f(3) are different, but that doesn't matter for the question asked. Taken together, they mean that the limit as x approaches 3 does not exist. But that is not the question asked.)
Q2. f(x) = 4/x.
f'(x) = -4/x^2, so f'(2) = -4/2^2 = -1.
Q3. Since the denominator is zero at x=7, the only answer choice that makes any sense is the first one:
-∞; x = 7
It also happens to be the right one.
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The algebraic expressions, and
are equivalent to
To determine whether each expression is equivalent to , apply the knowledge of algebra to solve each of the following in it's simplest form.
First, simplify as follows:
Add like terms
Next, compare or simplify where necessary each of the given algebraic expressions with
<em><u>First Option</u></em>
Add like terms together
Therefore, is equivalent to
- <em><u>Check the box for </u></em><em><u>YES.</u></em>
<u><em>Second Option:</em></u>
<u><em /></u><em> (cannot be simplified further)</em>
<em /><em />
Therefore:
- <em><u>Leave the box BLANK for </u></em><em><u>NO.</u></em>
<em><u /></em>
<em><u>Third Option:</u></em>
<em><u /></em><em><u> </u></em><em>(cannot be simplified further)</em>
<em /><em />
Therefore:
- <em><u>Leave the box BLANK for </u></em><em><u>NO.</u></em>
<em><u /></em>
<u><em>Fourth Option:</em></u>
<u><em /></u><u><em /></u>
<u><em /></u><u><em /></u>
Therefore:
- <em><u>Check the box for </u></em><em><u>YES.</u></em>
<em><u></u></em>
Thus, the algebraic expressions that are equivalent to are:
Learn more about algebraic expressions here: