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Graph the function. Identify the​ x- and​ y-intercepts and the asymptotes of the graph.​ Also, state the domain and range.

yequalsStartFraction 24 Over x EndFraction
Question content area bottom
Part 1
Select the correct graph below.
A.
-50
50
-50
50
x
y

x y graph
B.
-50
50
-50
50
x
y

x y graph
C.
-50
50
-50
50
x
y

x y graph
D.
-50
50
-50
50
x
y

x y graph
Part 2
Identify the​ x-intercepts. Select the correct answer below​ and, if​ necessary, fill in the answer box to complete your choice.
A.
The​ x-intercept(s) is(are)
  
enter your response here.
​(Type an ordered pair. Use a comma to separate answers as​ needed.)
B.
The function has no​ x-intercept.
Part 3
Identify the​ y-intercept. Select the correct answer below​ and, if​ necessary, fill in the answer box to complete your choice.
A.
The​ y-intercept is
  
enter your response here. ​(Type an ordered​ pair.)
B.
The function has no​ y-intercept.
Part 4
Identify the asymptotes of the graph. Select all that apply.
A.
yequalsx
B.
yequalsminusx
C.
xequalsStartFraction 1 Over y EndFraction
D.
yequalsStartFraction 1 Over x EndFraction
E.
xequals0
F.
yequals0
Part 5
State the domain of the function.
The domain of the function is the set of
▼
all x such that minus 50 less than or equals x less than or equals 50.
all real numbers such that x less than or equals 0.
all real numbers such that x greater than or equals 0.
all real numbers except x equals 0.
all real numbers.
Part 6
State the range of the function.
The range of the function is the set of
▼
all real numbers such that y greater than or equals 0.
all real numbers such that y less than or equals 0.
all real numbers except y equals 0.
all real numbers.
all x such that minus 50 less than or equals y less than or equals 50.

1 answer

Part 1: The correct graph is option C.

Part 2: The function has no x-intercept.

Part 3: The y-intercept is (0, 24).

Part 4: The asymptotes of the graph are y = 0 and x = 0.

Part 5: The domain of the function is all real numbers except x = 0.

Part 6: The range of the function is all real numbers such that y does not equal 0.