Which body of water is to the east of Africa? Pacific Ocean
Atlantic Ocean
Red Sea
Mediterranean Sea

Red Sea

Explanation:

In a map, to the east of Africa is the Red Sea.

To the north is the Mediterranean Sea.

In the east of Africa is situated the Red Sea.

The Pacific Ocean is situated in the east of Asia.

The Atlantic Ocean is situated in the west of Africa.

The Mediterranean Sea is situated in the north of Africa.

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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