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:
11x-5
Step-by-step explanation:
Answer:
The equation is y = 29x + 90. So, if you plug in 3,100.00 for y.
3,100.00 = 29x + 90
3,100.00 - 90 = 29x
3,010.00 = 29x
3,010.00/29 = 29x/29
x = 103 guests
Where a, b, and c are real numbers and a ≠ 0 .
The quadratic term is ax
2
, the linear term is
bx, and the constant term is c. Quadratic
functions have degree two. The graph of a
quadratic function is called a parabola. If
a < 0, then the parabola opens downward,
like function g. If
a > 0, then the parabola
opens upward like function f. If
the parabola opens upward, then
the vertex is the point whose yvalue
is the minimum value of f.
If the parabola opens downward,
then the vertex is the point
whose y-value is the maximum
value of f. The vertical line that
goes through the vertex is called
the axis of symmetry of the
parabola.
Answer:
2) 2^8
3)7^9
4) 1/3^6
5)x^10
6) y^8
7) x^10
Step-by-step explanation:
