Solving Polynomial and Rational Inequalities (and review)

Quiz
•
Mathematics
•
10th - 12th Grade
•
Hard
Wayground Content
FREE Resource
15 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
What does it mean for a function to be continuous at a point?
A function is continuous at a point x = c if f(c) is defined, the limit exists, and the limit equals f(c).
A function is continuous at a point if it has a derivative at that point.
A function is continuous if it is defined for all real numbers.
A function is continuous if it oscillates between two values.
2.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
What are the types of discontinuities?
Infinite Discontinuity: The function approaches infinity at a point.
Continuous Discontinuity: The function is defined at all points.
Jump Discontinuity: The function has a sudden change in value at a point.
Oscillating Discontinuity: The function oscillates infinitely at a point.
3.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
What is a slant asymptote?
A horizontal line that a graph approaches as x approaches infinity.
A diagonal line that a graph approaches as x approaches infinity or negative infinity.
A vertical line that a graph approaches as x approaches a certain value.
A constant value that a graph approaches as x approaches infinity.
4.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
What is the significance of the roots in solving inequalities?
The roots indicate the maximum value of the expression.
The roots of the polynomial or rational expression divide the number line into intervals. The sign of the expression in each interval determines where the inequality is satisfied.
The roots are irrelevant in solving inequalities.
The roots provide the exact solutions to the inequality.
5.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
How do you express the solution set of an inequality?
In interval notation, set-builder notation, or graphically on a number line.
Only in interval notation.
Only graphically on a number line.
In a table format.
6.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
What is the importance of the leading coefficient in polynomial inequalities?
It determines the degree of the polynomial.
It affects the number of real roots of the polynomial.
It determines the end behavior of the polynomial. If it is positive, the polynomial approaches positive infinity as x approaches positive or negative infinity; if negative, it approaches negative infinity.
It indicates whether the polynomial is even or odd.
7.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
What is the graphical representation of polynomial inequalities?
It shows the regions where the polynomial is above or below the x-axis, indicating where the inequality holds true.
It represents the roots of the polynomial only.
It displays the polynomial's coefficients in a bar graph format.
It illustrates the polynomial's behavior at infinity.
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