Question

the ph of a solution is a measure of how acidic it is. the greater the acidity, the lower the ph. the function \\(f(x) = -\log x\\) gives the ph of a solution, where \\(x\\) is the concentration of hydrogen ions, in moles per liter.

the graph of \\(f(x) = -\log x\\) is a dropdown of the graph of \\(g(x) = \log x\\).

Explanation:

Identify the relationship between the functions

Using the Logarithmic Function Transformations knowledge point

$$ f(x) = -g(x) $$

Determine the geometric transformation

Using the Function Reflections knowledge point

$$ (x, y) \to (x, -y) \quad \text{represents a reflection across the x-axis} $$

Answer:

The pH of a solution is a measure of how acidic it is. The greater the acidity, the lower the pH. The function \(f(x) = -\log x\) gives the pH of a solution, where \(x\) is the concentration of hydrogen ions, in moles per liter.

The graph of \(f(x) = -\log x\) is a <blank>reflection across the x-axis</blank> of the graph of \(g(x) = \log x\).