
Analyzing Direction Fields in Differential Equations
Interactive Video
•
Mathematics
•
10th - 12th Grade
•
Practice Problem
•
Hard
Standards-aligned
Aiden Montgomery
FREE Resource
Standards-aligned
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the main goal of the problem discussed in the video?
To find the solution to a differential equation.
To determine the correct direction field for a given solution.
To graph a function in blue.
To calculate the slope of tangent lines.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which of the following is NOT a method mentioned for matching direction fields?
Comparing slopes of tangent lines.
Calculating the integral of the function.
Sketching the function over each direction field.
Sketching tangent segments on the function.
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the characteristic of the slopes to the left of x = -1 in the correct direction fields?
Positive and decreasing.
Zero and constant.
Negative and decreasing.
Positive and increasing.
Tags
CCSS.8.EE.C.8B
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why are some direction fields eliminated in the analysis to the left of x = -1?
Their slopes are positive instead of negative.
They are not graphed in blue.
They have constant slopes.
They have no tangent segments.
Tags
CCSS.8.EE.C.8B
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the slope pattern observed to the right of x = -1 in the correct direction field?
Zero, positive, then zero again.
Negative, zero, then negative again.
Positive, zero, then positive again.
Positive, negative, then positive again.
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is the correct direction field verified in the final section?
By comparing the color of the graphs.
By sketching the function over each direction field.
By calculating the integral of the function.
By measuring the length of tangent segments.
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the y-intercept of the function when sketching to verify the direction field?
Negative one.
Zero.
Positive one.
Two.
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