Operations with Rational Functions
Simplify: (5x+15)/(x+3)
What is 5?
What is the Vertical Asymptote of the function: (2x - 3)/(x - 4)?
What is x = 4?
Solve: 1/x^2 = 81
What is 1/9?
Solve: 2x + 6 > x + 9
What is x > 3?
What is the difference between a closed and open circle?
What is a closed circle being included on a graph and an open circle not being included in a graph?
Multiply: (a^2 + 7a + 12)/(a^2 - 9) x (a - 3)/(a+ 3)
What is (a + 4)/(a - 3)
What is the Horizontal Asymptote of the function: (2x - 3)/(x - 4)?
What is y = 2?
Solve: (x -2)/(x - 1) = x + 2
What is x = 0?
Solve: 15 > -5x > -5
What is 1 > x > -3?
How do you find the x and y intercepts?
What is plugging in zero for x to find the y-intercept and setting the numerator equal to zero to find the x-intercept?
Divide: (c^2 - c - 12)/(c^2 + 4c + 3) and (c^2 - 6c + 8)/(c^2 + 5c + 4)
What is (c + 4)/(c - 2)?
For what x value is there a hole in the function: (x^2 - 64)/(x^2 + 9x + 8)
What is x=-8?
Solve: 2/ (x +4) = 1/(x + 4)
What is No Solution?
Solve the rational inequality: -2(m - 3)/ (5(m + 1)) <12
What is m>-27/31 and m<-1?
What is a hole and how do you find it?
What is the point on the graph that is undefined and is the number that sets the denominator to zero in the cancelled expression?
Subtract: (x)/(x-4) - (6x)/(x - 5)
What is (-5x^2 + 19x)/(x - 4)(x - 5)?
Identify the x and y intercepts in the function: (a - 4)/(2a - 8)
What is (0, 1/2) and (4, 0)?
Solve: (6x + 1)/3x = 5
What is x = 1/9?
Solve the inequality: 2/(3x - 10) > 0
What is x>10/3?
How do you find the Horizontal and Vertical Asymptote?
What is the degree for the Horizontal Asymptote and the number that sets the denominator equal to zero for the Vertical Asymptote?
Solve: (3x + 6)/(x + 5) / (x + 2)/(x^2 - 25)
What is 3(x - 5)?
What is the horizontal asymptote of (2x - 3)/(x3 - 4)?
What is y=0?
Solve: (x^2 - 4)/(x + 3) + (x - 2)/(x + 3) = 2
What is x = 4?
Solve the following inequality: 5x/(x2-9)<0
What is 0<x<3, x<-3?
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?