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:
2
Step-by-step explanation:
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Answer: g = 1
Step-by-step explanation:
-3 + 5 + 6g = 11 - 3g
First, we need to combine like terms
-3 + 5 = 2
2 + 6g = 11 - 3g
Add 3g to each side
2 + 9g = 11
Subtract 2 from each side
9g = 9
Divide each side by 1
g = 1
Replace x with the x value solve to get the y value.
see attached picture for answers.
Answer:

Step-by-step explanation:
The y intercept form for the equation of a line is

You should note that <em>c</em> represents the y-intercept of the line (where the line touches the y-axis)
