Answer:
Step-by-step explanation:
The equation of ab line that passes through two points (a,b) and (c,d) is given by :-
From the given picture , the line is passing through points (0,3) and (3,2).
Then, the equation of the line will be :-
Hence, the required equation of the line that represents the graphed function :
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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Answer:
Step 2 contains error in the given problem.
Step-by-step explanation:
Given expression is:
Step 1: identifying the LCM.
The LCM identified is 6.
This step is correct.
In the next step, we multiply the LCM with each term of the equation.
Step 2:
However,
In the given solution, the LCM is not multiplied with each term.
Hence,
Step 2 contains error in the given problem.