Understanding Multiplicity and Graph Behavior
Interactive Video
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
Standards-aligned
Ethan Morris
FREE Resource
Standards-aligned
Read more
10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in finding the zeros of the equation y = x^2 - x - 42?
Complete the square
Factor the equation
Use the quadratic formula
Graph the equation
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
If a zero has an odd multiplicity, what does the graph do at that point?
Bounces off the x-axis
Forms a peak
Slices through the x-axis
Remains constant
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What happens to the graph at a zero with an even multiplicity?
It slices through the x-axis
It remains constant
It bounces off the x-axis
It forms a peak
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In a polynomial function, what does an odd degree indicate about the graph's tails?
Both tails point upwards
Tails go in opposite directions
Both tails point downwards
Tails remain constant
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which of the following is true for a function with a zero at x = 2 and an even multiplicity?
The graph bounces off the x-axis at x = 2
The graph slices through the x-axis at x = 2
The graph forms a peak at x = 2
The graph remains constant at x = 2
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
If a function has zeros at x = -1 and x = 1, with x = -1 having an odd multiplicity, what is the graph's behavior at x = -1?
The graph remains constant
The graph slices through the x-axis
The graph bounces off the x-axis
The graph forms a peak
Tags
CCSS.HSF.BF.B.3
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How can you determine if a function is even by looking at its graph?
Graph is symmetric about the x-axis
Graph is symmetric about the y-axis
Tails go in opposite directions
Both tails point in the same direction
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