A cable company wants to provide cell phone service for residents on an island. The function for the cost of laying the cable fr
2 answers:
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,
, 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 is the set of points where
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 .
i.e.
i.e.
i.e.
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'.
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Answers:
f(-3) = -1
f(-1) = 2
f(3) = 5
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Explanations:
Draw a vertical line through -3 on the x axis. Make sure this vertical line crosses the orange graph. Mark this point of intersection and then draw a horizontal line from this point to the y axis. You should find that it touches -1 on the y axis. Check out the attached image to see this process in action.
Those steps basically say that x = -3 leads to y = -1. Since y = f(x), this means f(-3) = -1
Through similar steps, you should find that f(-1) = 2 and f(3) = 5
Note that the open hole/circle does not count. So if you land on an open hole, just keep going until you hit a closed circle on the other piece of the graph.
