Evaluate the function ƒ(x) = 6x  5 at ƒ
Evaluate the function ƒ(x) = 6x  5 at ƒ(1)
Find all real values of x such that ƒ(x) = 0 for ƒ(x) = 42  6x
Tutor Answer
Attached. Let me know if you have any questions or concerns.
Is the relation a function?
y = x2 + 12x + 31
Question 1 options:
Yes
No
Question 2 (5 points)
Write the standard form of the equation of the circle with radius 7 and center at (0, 0).
Question 2 options:
x2 + y2 = 49
x2 + y2 = 14
x2 + y2 = 7
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Question 3 (5 points)
Convert the equation to the standard form for a hyperbola by completing the square on x and y.
x2  y2 + 6x  4y + 4 = 0
Question 3 options:
(x + 3)2 + (y + 2)2 = 1

=1
(x + 3)2  (y + 2)2 = 1
(y + 3)2 (x + 2)2 = 1
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Question 4 (5 points)
Find the location of the center, vertices, and foci for the hyperbola described by the equation.

=1
Question 4 options:
Center: ( 4, 1); Vertices: ( 10, 1) and ( 2, 1); Foci: ( 4 Center: ( 4, 1); Vertices: ( 2, 1) and ( 10, 1); Foci:
Center: ( 4, 1); Vertices: ( 9, 1) and ( 3, 1); Foci: ( 3 +
Center: ( 4, 1); Vertices: ( 10, 1) and ( 2, 1); Foci:
(
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Question 5 (5 points)
, 1) and ( 4 +
, 1)
and
, 2) and ( 2 +
and
, 2)
Write the equation in terms of a rotated x'y'system using θ, the angle of rotation. Write the equation
involving x' and y' in standard form. xy +16 = 0; θ = 45°
Question 5 options:
+
=1
y'2 = 32x'

=1
+
=1
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Question 6 (5 points)
Find the standard form of the equation of the ellipse and give the location of its foci.
Question 6 options:
+
=1
foci at (7, 0) and ( 7, 0)
+
=1
foci at (

, 0) and (
, 0)
, 0) and (
, 0)
, 0) and (
, 0)
=1
foci at (
+
foci at (
=1
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Question 7 (5 points)
Match the equation to the graph.
x2 = 7y
Question 7 options:
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Question 8 (5 points)
Convert the equation to the standard form for a hyperbola by completing...
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