pH = f(x) = -log₁₀x
1. Graphs
I used Excel to calculate the pH values and draw the graphs (see the Figure).
f(x) and f(x) +1 are plotted against the left-hand axis, while f(x+ 1) is plotted against the expanded right-hand axis.
The points at which pH = 0 and pH = 1 are indicated by the large red dots.
2. x = 0.5
When x = 0.5, pH ≈0.30. The point is indicated by the red diamond.
3. Transformations
(a) ƒ(x) = -log(x) + 1
This function has no y-intercept, because log(0) is undefined.
(b) ƒ(x +1) = -log(x + 1)
f(0) = -log(0 + 1) = -log(1) = 0
This function has a y-intercept at (0,0).
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(x) is an element of a real number. This means it could be an integer, fraction or irrational number.
* As x approaches infinity, y approaches infinity.
* As x approaches minus infinity, y approaches 0.
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Domain:
(x) is an element of a real number
Range:
y>0
If your asking to multiply 9x5 then the anwser is 45.
Answer:
0.0021
Step-by-step explanation:
Given:
Probability of ordering a nonalcoholic beverage is, 
Number of samples are 
Now, the complement of event 'N' is not ordering a nonalcoholic beverage.
Therefore, 
Now, for a sample of '10' customers, the probability of not ordering a non alcoholic beverage is product of their individual probabilities as all these events are independent events.
Therefore, probability that none of the 10 will order a nonalcoholic beverage is given as:
![=[P(\overline N)]^{10}\\\\=(0.54)^{10}\\\\=0.0021](https://tex.z-dn.net/?f=%3D%5BP%28%5Coverline%20N%29%5D%5E%7B10%7D%5C%5C%5C%5C%3D%280.54%29%5E%7B10%7D%5C%5C%5C%5C%3D0.0021)
<span>20.28% is the answer</span>