Which function is shown in the graph below? Please hurry!
2 answers:
Answer: Choice D
which is the log base 6 of x
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Explanation:
Since you're given a list of choices, you can plug in each x coordinate of the points shown and see what the y values are.
If you plugged x = 6 into choice A, you would end up with y = -1 but we want y = 1 instead. So choice A can be crossed off the list.
If you plugged in x = 6 into choice B, then you would get y = -2.6 approximately. So this answer won't work either.
Try x = 6 into choice C, and you'll get a division by zero error. So that can be crossed off too.
The only thing left is choice D. This function works because x = 0.5 leads to y = -0.4 approximately. Also, x = 1 and y = 0 pair up together. Similarly, the input x = 6 produces the output y = 1.
note: you may have to use the change of base formula to compute the log values. The change of base formula is log(b,x) = log(x)/log(b)
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Step-by-step explanation:
I'll do one for you.
Using the formula for turning exponents into radicals
where b is the base
This means that the numerator in the exponet form becomes the power under the radical in radical form and
the denominator in exponet form becomes the nth root in radical form.
For example 5,
That becomes in radical form
or if you want to write it using positive exponents
I'll do one more for you
For example 6,
That becomes in radical form