Simplifying expressions
Operations(Add/Subtract)
Operations(Multiply/Divide)
Solve equations
Vocabulary
100
(2x+3)/5
It cannot be simplified further😊
100
RED CARD!!!
100
(2x + 3) * (4x - 2)
8x^2+8x−6
100
(3x - 1) / (x + 2) = 2
X=5
100
What is a rational function?
A rational function is a ratio of polynomials.
200
(3x^2 - 2x + 4) / (x^2 - 5x + 6)
3x2−2x+4/(x−3)(x−2)
200
(2x + 3) + (4x - 5)
6x−2
200
CHALLENGE TIMEEE!
Come to the front and select a challenge
1. Pushups
2. Situps
3. Jumping Jacks
200
(2x^2 + x - 3) / (x - 1) = 5
200
What is an extraneous solution?
Extra solution that is a valid solution to the problem
300
(4x^3 - 8x^2 + 6x - 12) / (2x^2 - 4x + 3)
2(x−2)(2x^2+3)/2x^2−4x+3
300
(2x^2 + 3x - 1) - (x^2 - 2x + 5)
x^2+5x−6
300
(3x^2 + 2x - 1) * (x + 4)
3x^3+14x^2+7x−4
300
(4x + 5) / (2x - 3) = -1
x=-1/3
300
What is a horizontal asymptote?
A horizontal line that is not part of a graph of a function but guides it for x-values
400
(2x^3 + 4x^2 - 8x + 6) / (x^2 + 2x - 3)
2(x^3+2x^2−4x+3)(x−1)(x+3)
400
GIFT!!!
+400 POINTS
400
(3x^2 - 2x + 4) / (x + 2)
3x−8+20/x+2
400
CHALLENGE TIMEEEE!
Go up against the most talented mathematician in the world.
400
What is a vertical asymptote?
A vertical line that guides the graph of the function but is not part of it
500
GIFT!!!
500
(3x^(3) + 2x^(2) - 5x + 1)-(2x^(3) - 4x^(2) + 3x - 2)
x^3+6x^2-8x+3
500
[(2x + 3) / (4x - 2)] / [(x + 1) / (x - 2)]
(2x+3)(x−2)/2(2x−1)(x+1)
500
(x^2 - 4) / (x + 2) = 3
x=5
500
How do you find the domain and range?
The domain of a function is the set of all possible input values (x-values) for which the function is defined.
The range of a function is the set of all possible output values (y-values) that the function can produce.