
Understanding Inequalities and Graphs

Interactive Video
•
Mathematics
•
9th - 10th Grade
•
Hard

Mia Campbell
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the primary goal when graphing a hyperbola in this context?
To determine where the hyperbola is below or equal to a certain value
To calculate the area under the hyperbola
To identify the maximum point of the hyperbola
To find where the hyperbola is above a certain value
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does the vertical asymptote represent in the graph of a hyperbola?
The point where the graph crosses the x-axis
The value that makes the denominator zero, breaking the function
The highest point on the graph
The intersection point with the y-axis
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why is it important to consider domain restrictions when solving inequalities?
To find the maximum value of the function
To ensure the solution is within the valid range of the function
To calculate the area under the curve
To determine the slope of the function
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is a potential issue when multiplying both sides of an inequality by an expression?
The expression might become undefined
The solution will always be incorrect
The inequality sign might change direction if the expression is negative
The inequality will always become an equality
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why might one choose to multiply by the square of an expression when solving inequalities?
Squares are always positive, avoiding sign changes in inequalities
Squares simplify the equation to a linear form
Squares eliminate the need for graphing
Squares always result in a single solution
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What are the roots of the quadratic equation derived in the alternative method?
1/4 and 1/2
1/2 and 3/4
1/3 and 2/3
1/5 and 4/5
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How are hyperbolas and parabolas connected in solving inequalities?
Both can be used to identify regions of interest
Both require the same graphing technique
Both result in a single solution
Both involve finding maximum points
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