The pH level of a swimming pool indicates the level of acidity or alkalinity
of the swimming pool.
Correct Responses;
First part
The given pH function is f(x) = -㏒₁₀x
Where;
x = The amount of hydronium ions
A substance with a pH < 7 is acidic
A substance with a pH > 7 is alkaline
A neutral solution has pH = 7
Water is a neutral solution
The table of values of the graph is as follows;
[tex]\begin{tabular}{|c|c|c}\underline{x}& \underline{pH}\\1 \times 10^{-14}&14\\1 \times 10^{-13}&13\\1 \times 10^{-12}&12\\1 \times 10^{-11}&11\\1 \times 10^{-10}&10\\1 \times 10^{-9}&9 \\1 \times 10^{-8}&8\\1 \times 10^{-7}&7\\1 \times 10^{-6}&6\\1 \times 10^{-5}&5\\1 \times 10^{-4}&4\\1 \times 10^{-3}&3\\1 \times 10^{-2}&2\\1 \times 10^{-1}&1\\1 \times 10^0 = 1&0 \end{array}\right][/tex]
From the graph, we have;
The pH level if the hydronium ions, x = 0.5 is given from the graph as follows;
pH = f(0.5) = -㏒₁₀(0.5) ≈ 0.301029996
Second Part
Using f(x) = -㏒₁₀x as the parent function, the graph of f(x) + 1, and f(x + 1) are plotted
From the graph, we have;
The graph of f(x) + 1 = -㏒₁₀x + 1
The graph of f(x + 1) = The graph of -㏒₁₀(x + 1)
At the y-intercept, x = 0, therefore;
f(x) + 1 = f(0) + 1 = -㏒₁₀0 + 1 = Undefined
f(x + 1) = f(0 + 1) = -㏒₁₀(0 + 1) = 0
Therefore;
Learn more about the pH here:
https://brainly.com/question/13280345
