Rational Function Concept Map
By: Alexa, Andrew and Zach
8B
example
About the target
For 8B you need to understand all the terms and which order you use them to form a graph and proper answers
-first you find domain by checking what x values the denominator zero. (Before canceling like terms if there are any)
-Next find the holes, what cancels on top and bottom (Whatever makes them zero.
Next find LT, (after reduce/unless they cancel)
-Next Find VA (what makes bottom zero)
-Next find HA/OA (Divide the numerator b the denominator)
-Next find y-int (put zero in for x and y is top/ bottom)
-Next find x-int (Make x and y chart and put in numbers for x. Once that is done put number in denominator and denominator)
-Next use the information collected to make the graph.
Video
~In this target it outlines the aspect of working with a zero on one side of the inequality
1. Put the equation in general form
2. Set the numerator and denominator equal to zero
- When the numerator is zero the function is zero; when the denominator is zero, the function is undefined
3. Plot the critical values on the number line
4. Take a test number from each interval and plug it into the original inequality
5. Determine the points that should either be included or not included into the notation
8E
8A
Pennington, Laura. “Solving Rational Inequalities.” Study.com, Study.com, 2019, study.com/academy/lesson/solving-rational-inequalities.html.
www.youtube.com/watch?v=hWjMovgqvi4
www.youtube.com/watch?v=7vpYVwqdy1w
About the target
Example
Rational Function Inequalities
Rational function is given to a function which can be represented as the quotient of the polynomial, just as a rational number is the number is a number which can be be expressed as a quotient of the whole number
8C
Target 8A- I need to identify the domain the rational function and use factoring and long division to write the lowest term
I will first factor out the (numerator/denominator if there is one)
find the asymptote which is the bottom (what makes the answer zero. In other words the opposite number)
state LT
State Holes
and domain
What we do for A is essentially an intro intro what we do later in B and C
In the target 8C we learned how to graph a rational function by using the key components we learned earlier such as the domain, asymptotes and intercepts.
Video
8D
Within the topic of 8D we learned how to use a graph and identify the key components to create a function from it.
By: The Organic Chemistry Teacher