What is the main objective of the problem discussed in the video?

Understanding Relative Extrema in Functions

Interactive Video
•
Mathematics
•
9th - 12th Grade
•
Hard

Lucas Foster
FREE Resource
Read more
10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
To solve for x in the equation f(x) = 0
To calculate the second derivative of f
To determine if f has a relative minimum, maximum, or neither at x = 2
To find the value of f(x) at x = 2
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the expression for f'(x) when k = 4?
2x - 4 / (x^2 - 4x)
4 - 2x / (x^2 - 4x)
4 - 2x / (x^2 - 4x^2)
x^2 - 4x / (4 - 2x)
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the critical point found when f'(x) is set to zero?
x = 2
x = -2
x = 4
x = 0
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the significance of the point where f'(x) = 0?
It is where the function is undefined
It is where the function is always increasing
It is a potential point of relative extrema
It is where the function has a hole
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does it mean if f'(x) is positive for x < 2 and negative for x > 2?
f is constant at x = 2
f has a relative maximum at x = 2
f has a relative minimum at x = 2
f has no relative extrema at x = 2
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What alternative method is mentioned for determining the nature of the critical point?
Solving the equation f(x) = 0
Using the first derivative test
Using the second derivative test
Graphing the function
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does the video suggest about the function's behavior as x approaches 2 from below?
The function is constant
The function is increasing
The function is decreasing
The function has a discontinuity
Create a free account and access millions of resources
Similar Resources on Quizizz
11 questions
Understanding Derivatives and Critical Points

Interactive video
•
10th - 12th Grade
7 questions
Understanding the Constant Multiple Derivative Rule

Interactive video
•
9th - 12th Grade
11 questions
Understanding Relative Extrema in Calculus

Interactive video
•
9th - 12th Grade
11 questions
Understanding Derivatives and Critical Points

Interactive video
•
9th - 12th Grade
11 questions
Understanding Critical Points and Intervals of Increase/Decrease

Interactive video
•
9th - 12th Grade
11 questions
Understanding Derivatives with a Graphing Calculator

Interactive video
•
9th - 12th Grade
11 questions
Critical Numbers and Derivatives

Interactive video
•
9th - 12th Grade
11 questions
Understanding Critical Points and Derivatives

Interactive video
•
9th - 12th Grade
Popular Resources on Quizizz
15 questions
Multiplication Facts

Quiz
•
4th Grade
25 questions
SS Combined Advisory Quiz

Quiz
•
6th - 8th Grade
40 questions
Week 4 Student In Class Practice Set

Quiz
•
9th - 12th Grade
40 questions
SOL: ILE DNA Tech, Gen, Evol 2025

Quiz
•
9th - 12th Grade
20 questions
NC Universities (R2H)

Quiz
•
9th - 12th Grade
15 questions
June Review Quiz

Quiz
•
Professional Development
20 questions
Congruent and Similar Triangles

Quiz
•
8th Grade
25 questions
Triangle Inequalities

Quiz
•
10th - 12th Grade
Discover more resources for Mathematics
40 questions
Week 4 Student In Class Practice Set

Quiz
•
9th - 12th Grade
25 questions
Triangle Inequalities

Quiz
•
10th - 12th Grade
10 questions
Right Triangles: Pythagorean Theorem and Trig

Quiz
•
11th Grade
10 questions
Exponential Growth and Decay Word Problems

Quiz
•
9th Grade
45 questions
Week 3.5 Review: Set 1

Quiz
•
9th - 12th Grade
17 questions
High School Survival Guide

Lesson
•
9th - 12th Grade
15 questions
Factoring Quadratics

Quiz
•
9th Grade