10 Questions
Which techniques will be used to solve quadratic inequalities in this section?
Techniques from solving linear and rational inequalities, as well as quadratic equations
What is the standard form of a quadratic inequality?
$ax^2 + bx + c > 0$
How will quadratic inequalities be solved in this section?
Both graphically and algebraically
What is the graph of a quadratic function $f(x) = ax^2 + bx + c$ called?
Quadratic graph
What were some of the techniques used to solve linear and rational inequalities?
Techniques from solving linear and rational inequalities, as well as quadratic equations
Quadratic inequalities are solved __________ and ____________.
graphically, algebraically
A quadratic equation is in standard form when written as ________.
$ax^{2}+bx+c=0$
The graph of a quadratic function $f(x)=ax^{2}+bx+c$ is called a ____________.
parabola
To solve quadratic inequalities graphically, we need to plot the ___________.
parabola
In solving quadratic inequalities algebraically, we will use techniques from solving _________ and __________ inequalities.
linear, rational
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)
Test your readiness to solve quadratic inequalities with this quiz. Assess your understanding of the techniques used to solve linear and rational inequalities in preparation for tackling quadratic inequalities.
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