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Questions and Answers
Which techniques will be used to solve quadratic inequalities in this section?
Which techniques will be used to solve quadratic inequalities in this section?
- Only techniques from solving linear inequalities
- Techniques from solving linear inequalities and quadratic equations
- Techniques from solving linear and rational inequalities, as well as quadratic equations (correct)
- Only techniques from solving rational inequalities
What is the standard form of a quadratic inequality?
What is the standard form of a quadratic inequality?
- $ax^2 + bx + c < 0$
- $ax^2 + bx + c = 0$
- $ax^2 + bx + c = y$
- $ax^2 + bx + c > 0$ (correct)
How will quadratic inequalities be solved in this section?
How will quadratic inequalities be solved in this section?
- Both graphically and algebraically (correct)
- Neither graphically nor algebraically
- Only graphically
- Only algebraically
What is the graph of a quadratic function $f(x) = ax^2 + bx + c$ called?
What is the graph of a quadratic function $f(x) = ax^2 + bx + c$ called?
What were some of the techniques used to solve linear and rational inequalities?
What were some of the techniques used to solve linear and rational inequalities?
Quadratic inequalities are solved __________ and ____________.
Quadratic inequalities are solved __________ and ____________.
A quadratic equation is in standard form when written as ________.
A quadratic equation is in standard form when written as ________.
The graph of a quadratic function $f(x)=ax^{2}+bx+c$ is called a ____________.
The graph of a quadratic function $f(x)=ax^{2}+bx+c$ is called a ____________.
To solve quadratic inequalities graphically, we need to plot the ___________.
To solve quadratic inequalities graphically, we need to plot the ___________.
In solving quadratic inequalities algebraically, we will use techniques from solving _________ and __________ inequalities.
In solving quadratic inequalities algebraically, we will use techniques from solving _________ and __________ inequalities.
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Study Notes
Solving Quadratic Inequalities
- Learn to solve quadratic inequalities algebraically and graphically
- Combine techniques from linear and rational inequalities and quadratic equations to solve quadratic inequalities
Quadratic Equations and Inequalities
- A quadratic equation is in standard form when written as (ax^{2}+bx+c=0)
- Replace the equal sign with an inequality sign to get a quadratic inequality in standard form
Graphing Quadratic Functions
- The graph of a quadratic function is represented as (f(x)=a x^{2}+b x+c)
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