
Understanding Level Curves and Graphing

Interactive Video
•
Mathematics
•
9th - 12th Grade
•
Hard
+1
Standards-aligned

Amelia Wright
FREE Resource
Standards-aligned
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is a level curve in the context of a function of two variables?
A line parallel to the x-axis
A 2D graph of the intersection of a surface and a plane
A 3D representation of a function
A point where the function is undefined
Tags
CCSS.7.G.A.3
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What shape does the intersection of the plane and surface form in the given function?
Ellipse
Circle
Parabola
Hyperbola
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does a contour map represent in the context of level curves?
A graph of the function's derivative
A single level curve
A set of level curves for different values of C
A 3D model of the function
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the equation of the level curve for C = 5 in the function f(x, y) = xy?
y = x^5
y = 5/x
y = x/5
y = 5x
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What type of function is y = 5/x?
Linear function
Quadratic function
Rational function
Exponential function
Tags
CCSS.HSF-IF.C.7D
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the vertical asymptote of the function y = 5/x?
x = 5
y = 0
y = 5
x = 0
Tags
CCSS.HSF-IF.C.7E
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What happens to y as x approaches infinity in the function y = 5/x?
y approaches infinity
y approaches 0
y becomes undefined
y approaches 5
Tags
CCSS.HSF-IF.C.7E
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