
Understanding Critical Numbers and Function Behavior

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

Emma Peterson
FREE Resource
Standards-aligned
Read more
10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the primary goal when analyzing the function f(x) = 2x + 2/x?
To find the roots of the function
To find the maximum value of the function
To determine the critical numbers and intervals of increase or decrease
To calculate the integral of the function
Tags
CCSS.HSF-IF.C.7D
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
At which value of x is the function f(x) = 2x + 2/x undefined?
x = 1
x = -1
x = 0
x = 2
Tags
CCSS.HSF-IF.C.7D
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in finding the critical numbers of a function?
Setting the function equal to zero
Calculating the integral
Finding the second derivative
Finding the first derivative and setting it to zero or undefined
Tags
CCSS.HSF-IF.C.7D
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What are the critical numbers for the function f(x) = 2x + 2/x?
x = -2 and x = 2
x = 0 and x = 2
x = -1 and x = 1
x = 1 and x = 2
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you determine if a function is increasing over an interval?
If the second derivative is positive
If the first derivative is zero
If the function value is positive
If the first derivative is positive
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which interval shows the function f(x) = 2x + 2/x decreasing?
From -1 to 0
From 1 to infinity
From negative infinity to -1
From 0 to 1
Tags
CCSS.HSF-IF.C.7D
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the behavior of the function f(x) = 2x + 2/x from 1 to infinity?
The function is undefined
The function is increasing
The function is constant
The function is decreasing
Tags
CCSS.8.EE.B.5
Create a free account and access millions of resources
Similar Resources on Wayground
11 questions
Understanding Function Behavior

Interactive video
•
10th - 12th Grade
11 questions
Understanding Rational Functions

Interactive video
•
10th - 12th Grade
11 questions
Understanding Derivatives and Extrema

Interactive video
•
10th - 12th Grade
11 questions
Understanding the First Derivative Test

Interactive video
•
9th - 12th Grade
11 questions
Critical Points and Graph Behavior

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

Interactive video
•
9th - 12th Grade
11 questions
Understanding Critical Numbers and Monotonic Functions

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

Interactive video
•
9th - 12th Grade
Popular Resources on Wayground
50 questions
Trivia 7/25

Quiz
•
12th Grade
11 questions
Standard Response Protocol

Quiz
•
6th - 8th Grade
11 questions
Negative Exponents

Quiz
•
7th - 8th Grade
12 questions
Exponent Expressions

Quiz
•
6th Grade
4 questions
Exit Ticket 7/29

Quiz
•
8th Grade
20 questions
Subject-Verb Agreement

Quiz
•
9th Grade
20 questions
One Step Equations All Operations

Quiz
•
6th - 7th Grade
18 questions
"A Quilt of a Country"

Quiz
•
9th Grade