(1,5) (2,9) what is the rate of change?
1 answer:
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Answer:
[-4,2] or
Step-by-step explanation:
Range is the range of the y-axis.
Although we see that the "line" ends at a specific point, it is neither the highest or lowest y-value.
Our lowest y value is -4, and because it is a line, it is not an open dot resulting in a [, instead of a (.
This same thing happens with highest y-value which happens to be 2.
This is interval notation.
Due to your question, you may be asking for this:
Answer: Choice B)
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Work Shown:
This shows why choice B is the answer.
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Explanation:
- In the second step, I multiplied top and bottom by
- This is so we can apply the difference of squares rule in step 3. The difference of squares rule is (x-y)(x+y) = x^2-y^2.
- In step 4, the square roots cancel out with the squaring operation. The two operations are inverses of one another, which is why they cancel.
So in general, if the denominator is and you want to rationalize the denominator, then you should multiply top and bottom by
. The same applies in reverse as well.
This leads to the denominator becoming
Keep in mind that and