The function f(x) = StartRoot negative x EndRoot is represented by the graph. Which statement is correct?
2 answers:
Answer:
D. The range of the function is all real numbers greater than or equal to 0.
Step-by-step explanation:
The graph of the function is shown in attached diagram.
1. The domain of the function is the set of all possible values for input (for x). Hence, the domain of this function is
2. The range of the function is the set of all possible values for output (for y), so the range of this function is
As you can see, only option D is true - The range of the function is all real numbers greater than or equal to 0.
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Answer:
M = 4.33885225095
Step-by-step explanation:
Area of the square ABFE = 10² = 100
M = 100 - (2P + Q)
Let’s calculate 2P + Q :
The area 2P + Q = area ΔABC + area of sector ACE + area of sector BCF
Note :
ΔABC is an equilateral triangle
m∠CBF = m∠CAE = 30°
area ΔABC = (CG × AB)÷2 = (8.660254037844×10)÷2 = 43.30127018922
CG = √(10^2 - 5^2)=8.660254037844 (Pythagorean theorem)
area of sector BCF = area ΔACE = 100π ÷ 12 = (8.333333333333)π
then
Area 2P + Q = area ΔABC + area sector ACE + area sector BCF
= 43.30127018922+(100÷12)π+(100÷12)π
= 43.30127018922+ (8.333333333333)π + (8.333333333333)π
= 95.66114774905
Conclusion:
M = 100 - (2P + Q) = 100-95.66114774905 = 4.33885225095
