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tiny-mole [99]
3 years ago
15

Describe how the graph of g(x) is related to the graph of f(x) = 1?/x

Mathematics
1 answer:
Sidana [21]3 years ago
4 0

Answer:

a) f(x) translated up 4 units ⇒ vertical moving

b) f(x) stretched vertically by scale factor 5

c) f(x) translated 3 units to the left ⇒ horizontal moving

d) f(x) stretched horizontally by scale factor 1/0.1 = 10

e) f(x) compressed horizontally by scale factor 1/3 and reflected

   about the y-axis

Step-by-step explanation:

∵ f(x) = 1/x

a) ∵ g(x) = 1/x + 4

∴ f(x) moved up 4 units ⇒ vertical moving

b) ∵ g(x) = 5(1/x)

∴ f(x) stretched vertically by scale factor 5

c) ∵ g(x) = 1/(x + 3)

∴ f(x) moved 3 units to the left ⇒ horizontal moving

d) ∵ g(x) = 1/0.1x

∴ f(x) stretched horizontally by scale factor 1/0.1 = 10

e) ∵ g(x) = 1/-3x

∴ f(x) compressed horizontally by scale factor 1/3 and reflected

  about the y-axis

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notsponge [240]

The question given is incomplete, I googled and got the complete question as below:

You are a waterman daily plying the waters of Chesapeake Bay for blue crabs (Callinectes sapidus), the best-tasting crustacean in the world. Crab populations and commercial catch rates are highly variable, but the fishery is under constant pressure from over-fishing, habitat destruction, and pollution. These days, you tend to pull crab pots containing an average of 2.4 crabs per pot. Given that you are economically challenged as most commercial fishermen are, and have an expensive boat to pay off, you’re always interested in projecting your income for the day. At the end of one day, you calculate that you’ll need 7 legal-sized crabs in your last pot in order to break even for the day. Use these data to address the following questions. Show your work.

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