For the questions below, enter your answers using interval notation. You can use "U" to represent a "union", e.g. enter "(1,2) U
1 answer:
1) Given that
We deduce that this represents a parabola with a vertex at (0.4) opening upwards.
x can assume any real value.
Therefore, the domain of f = (-∞,∞)
Since it opens upwards with a vertex at (0,4), y cannot be less than 4
Range = [4,∞)
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2)
Because x is in the denominator, x cannot equal 0
Additionally, the first term represents the square root of x, hence x must be positive
Thus, the domain is [0,∞)
As x increases, y also rises without limits.
Consequently, the range = (-∞,∞)
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Response:
Detailed breakdown:
Considering a rectangle measuring 3cm by 4cm with a circle of 1 cm diameter within it:The area of the shaded section equals Area of Rectangle minus Area of CircleThe area of a rectangle is calculated as Length multiplied by WidthArea of shaded region = 12 - 3.142
