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Operations with Rational Functions
Analyze Graphs of Rational Functions
Solving Rational Equations
Potpourri
Vocabulary
100

Simplify: (5x+15)/(x+3)

What is 5?

100
What is the Vertical Asymptote of the function: (2x - 3)/(x - 4)?
What is x = 4?
100

Solve: SQRT (x) = 9

What is 81?

100

When is the next school day that we have off?

What is 2/19?

100

What is a rational function?

What is the division of two polynomial functions?

200

Divide: (a - 9)/(a^2 + 7a + 12)

What is 0 + (a - 9)/(a2 + 7a + 12)

200
What is the Horizontal Asymptote of the function: (2x - 3)/(x - 4)?
What is y = 2?
200
Solve: (x -2)/(x - 1) = x + 2
What is x = 0?
200

True or false: A geometric sequence is a sequence that adds or subtracts by the same number? 

What is false?

200

How do you find the x intercepts when the rational function is in the form g(x)/f(x)?

What is set the numerator equal to zero and solve for x?

300

Divide: (c2 - c - 12)/(c + 3) 

What is c - 4?

300

Does the function below have a hole: (x^2 - 64)/(x^2 + 9x + 8)

What is yes?

300
Solve: SQRT (x +4) = x + 2
What is x = 0?
300

What keystones do sophomores take in May?

What is literature?

300
What is a horizontal asymptote and how do you find it?

What is a line on the graph that the function approaches but does not cross and is found through determining the degree of the numerator and denominator?

400

Divide: 2x3+7x2+7x+5/x+1

What is 2x2+5x+2 +(3/(x+1))?

400
Identify the x and y intercepts in the function: (a - 4)/(2a - 8)
What is (0, 1/2) and (4, 0)?
400

Solve: (x + 4) = 5/x

What is x = -5and x= 1

400

How do you know when the divisor is a factor of the dividend? 

When the remainder is zero after dividing

400

How do you find the Vertical Asymptote?

What is set the denominator equal to zero and solve for x?

500
Solve: (3x + 6)/(x + 5) / (x + 2)/(x^2 - 25)
What is 3(x - 5)?
500

Find the horizontal and vertical asymptotes and x and y intercepts of the function below

 (2x - 3)/(x - 4)

h.a y=2

v.a x=4

y-int (0, .75)

x-int ( 3/2,0)

500

Solve: (x^2 - 4)/(x + 3) = 2/x+3

What is x = sqrt 6 and x= - sqrt 6

sqrt= Square root

500

How many credits are needed for you to graduate high school?

What is 23.5

500
What is the Domain and Range?
What is the x values included in the graph for domain and y values included in the graph for range?