
Understanding Level Curves and Contour Maps

Interactive Video
•
Mathematics
•
10th - 12th Grade
•
Hard
Standards-aligned

Lucas Foster
Used 1+ times
FREE Resource
Standards-aligned
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8 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the general form of a level curve for a function f(x, y)?
A 2D graph of the intersection of a surface and a plane
A line parallel to the y-axis
A 3D surface
A line parallel to the x-axis
Tags
CCSS.HSF-IF.C.7A
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the context of the video, what does the function f(x, y) = XY - 4x represent?
A linear equation
A quadratic equation
A surface in 3D space
A constant function
Tags
CCSS.HSF-IF.C.7A
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the significance of the plane z = 8 in the video?
It represents the x-axis
It is the plane that intersects the surface to form a level curve
It is the plane that intersects the surface to form a contour map
It represents the y-axis
Tags
CCSS.HSF-IF.C.7A
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is a contour map in the context of the video?
A 3D representation of a function
A graph of a linear function
A single level curve
A set of level curves for different values of C
Tags
CCSS.HSF-IF.C.7A
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you find the equation of a level curve for C = 8?
Set f(x, y) = -8
Set f(x, y) = 4
Set f(x, y) = 8
Set f(x, y) = 0
Tags
CCSS.HSA.REI.B.3
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in solving the equation XY - 4x = 8 for y?
Subtract 4x from both sides
Multiply both sides by x
Add 4x to both sides
Divide both sides by y
Tags
CCSS.6.EE.C.9
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the final form of the equation for y in terms of x?
y = (8 - 4x) / x
y = (8 + 4x) * x
y = (8 + 4x) / x
y = (8 - 4x) * x
Tags
CCSS.HSF-IF.C.7A
8.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does the equation y = (8 + 4x) / x represent?
A linear function
A contour map
A level curve for C = 8
A 3D surface
Tags
CCSS.HSF-IF.C.7A
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