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aksik [14]
3 years ago
9

A cable company wants to provide cell phone service for residents on an island. The function for the cost of laying the cable fr

om the island to the mainland is c(x)= 6.500 square root x2+4, where x represents the length of the cable in feet. What are the domain and range of the function?
A) domain: all real numbers
range: all real numbers greater than or equal to 17,000

B) domain: all real numbers greater than or equal to 0
range: all real numbers greater than or equal to 17,000

C) domain: all real numbers greater than or equal to 0
range: all real numbers greater than or equal to 13,000

D) domain: all real numbers greater than or equal to 13,000
range: all real numbers greater than or equal to 0
Mathematics
2 answers:
laila [671]3 years ago
5 0

Answer:

C) domain: all real numbers greater than or equal to 0

range: all real numbers greater than or equal to 13,000

Step-by-step explanation:

We have, the function for the cost of laying cable is given by,

c(x)= 6500\sqrt{x^2+4}, where x is the length of the cable (in feet).

As, 'x' represents the length of the cable.

We have that, the value of x cannot be negative.

So, x ≥ 0.

Since, the domain of c(x)= 6500\sqrt{x^2+4} is the set of points where x^2+4\geq 0 and we have that x ≥ 0.

Thus, the domain is 'Set of all real numbers greater than or equal to 0'.

Now, we substitute x= 0 in c(x)= 6500\sqrt{x^2+4}.

i.e. c(0)= 6500\sqrt{0^2+4}

i.e. c(0)= 6500\sqrt{4}

i.e. c(0)= 6500\times 2

i.e. c(0) = 13000.

So, we get that the vertex point of the function is (0,13000).

Thus, the range is 'All real numbers greater than or equal to 13,000'.

astraxan [27]3 years ago
4 0

Answer:

C.................................................

Step-by-step explanation:

E2020

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