Lesson D12-D14
D12-D14 Graphs of rational functions Quiz: AQA Further Maths, Unit 2
20 questions
In partnership with Revision Ninja
Lesson D12-D14, Graphs of rational functions: 20 multiple choice questions for the AQA Further Maths (7367), Unit 2: Compulsory content, written with Revision Ninja.
Host it live on the board and students join with a game code on their own devices, or revise alone with Free Play. The answers are revealed in the game.
The 20 questions
-
What is the horizontal asymptote of y = (2x + 1)/(x - 3)?
- y = 3
- y = 2
- y = 1
- y = 2x
-
What is the vertical asymptote of y = (2x + 1)/(x - 3)?
- x = -1/2
- x = 3
- x = 2
- x = -3
-
An oblique asymptote occurs when the numerator's degree exceeds the denominator's degree by how much?
- Exactly 1
- Zero
- At least 1
- Exactly 2
-
Where does y = (x^2 - 4)/(x + 1) meet the x-axis?
- x = 2 and x = -2
- x = 2 only
- x = 4 and x = -4
- x = -1 only
-
What is the y-intercept of y = (x + 2)/(x - 1)?
- -2
- 2
- 1/2
- -1/2
-
What is the oblique asymptote of y = (x^2 + 1)/(x - 1)?
- y = x + 1
- y = x
- y = 2x + 1
- y = x - 1
-
What is the maximum value of y = 3/(x^2 + 1)?
- 0
- Undefined
- 1
- 3
-
What is the range of the function y = x/(x^2 + 1)?
- -1/2 <= y <= 1/2
- y >= 0
- All real numbers
- -1 <= y <= 1
-
For y = (x + 1)/(x^2 + 2x + 5), what is the range?
- -1/4 <= y <= 1/2
- -1/2 <= y <= 1/2
- 0 <= y <= 1/4
- -1/4 <= y <= 1/4
-
Which are the stationary points of y = x + 1/x?
- (1, 2) and (-1, 2)
- (2, 2.5) and (-2, -2.5)
- (0, 0) only
- (1, 2) and (-1, -2)
-
What is the range of y = 2x/(x^2 + 4)?
- -1 <= y <= 1
- -1/2 <= y <= 1/2
- -1/4 <= y <= 1/4
- 0 <= y <= 1/2
-
What is the oblique asymptote of y = (x^2 - x + 1)/(x - 1)?
- y = x + 1
- y = x
- y = x - 1
- y = 2x
-
What is the equation of the vertical asymptote for y = (x - 2)/(x^2 - x - 2)?
- x = 2
- x = 1
- x = -1
- y = 0
-
Find k so that y = (kx + 1)/(2x - 3) has horizontal asymptote y = 4.
- k = 2
- k = 1/4
- k = 4
- k = 8
-
What is the horizontal asymptote of y = (3x^2 + 1)/(x^2 - 4)?
- y = 3/4
- y = 3
- y = 1
- y = -4
-
Which value of x makes y = (x^2 + 2)/(x + 2) undefined?
- x = -1
- x = 0
- x = 2
- x = -2
-
What is the x-intercept of y = (x - 3)/(x + 1)?
- x = -3
- x = -1
- x = 1
- x = 3
-
What is the vertical asymptote of y = 5/(x - 4) + 2?
- x = 2
- x = 4
- y = 2
- x = -4
-
What type of feature occurs on the graph of y = (x^2 - 1)/(x - 1) at x = 1?
- Vertical asymptote
- Horizontal asymptote
- Removable discontinuity
- Stationary point
-
What is the minimum value of y = (x^2 + 4)/x for x > 0?
- 8
- 2
- 4
- 0
Related quizzes
- Proof by mathematical induction Quiz · A1 · 20 questions
- Solving polynomial equations and complex conjugates Quiz · B1-B3 · 20 questions
- Argand diagrams, modulus-argument form and loci Quiz · B4-B7 · 20 questions
- De Moivre's theorem, exponential form and roots of unity Quiz · B8-B11 · 20 questions
- Matrix operations, zero and identity matrices Quiz · C1-C2 · 20 questions
- Linear transformations and invariant points Quiz · C3-C4 · 20 questions
- Determinants, inverse matrices and factorising determinants Quiz · C5, C6, C9 · 20 questions
- Solving three simultaneous equations with matrices Quiz · C7-C8 · 20 questions
- Eigenvalues and eigenvectors Quiz · C10 · 20 questions
- Diagonalisation of matrices Quiz · C11 · 20 questions