Home
Class 12
MATHS
Does the following graph pass the vertic...

Does the following graph pass the vertical or horizontal line test ?

Text Solution

Verified by Experts

Clearly, the graph passes the vertical line test as any vertical line, including x = 1 and x = 2, meets the graph only once.
However, it does not pass the horizontal test as the line y = 2 meets the graph at two points(1, 2) and (2, 2).
Promotional Banner

Topper's Solved these Questions

  • GETTING STARTED WITH GRAPHS

    CENGAGE|Exercise Exercise|18 Videos

  • FUNCTIONS

    CENGAGE|Exercise Question Bank|21 Videos

  • GRAPH OF INVERSE TRIGONOMETRIC FUNCTIONS

    CENGAGE|Exercise Exercise|18 Videos

Similar Questions

Explore conceptually related problems

Write the use of horizontal line test.

Does the following graph represent a function or a relation?

Which of the following is a test cross ?

A person looking at a person wearing a shirt with a pattern comprising vertical and hoziontal lines is able to see the vertical lines more distinclty than the horizontal ones. What is this defect due to ? How is such a defect of vision corrected?

Find the differential equation of the family of (i) all non vertical lines in a plane (ii) all non horizontal lines in a plane

A small creature moves with constant speed in a vertical circle on a bright day. Does its shadow formed by the sun on horizontal plane move in a simple harmonic motion?

Draw the graph of the equation y - 2x = 4 and then answer the following. (i) Does the point (2, 8) lie on the line? Is (2, 8) a solution of the equation? Check by substituting (2, 8) in the equation. (ii) Does the point (4, 2) lie on the line? Is (4, 2) a solution of the equation? Check algebraically also. (iii) From the graph find three more solutions of the equation and also three more which are not solutions.

Which of the following represents a test cross?

State whether the graph represent a function. Use vertical line test

CENGAGE-GETTING STARTED WITH GRAPHS-Exercise
  1. Does the following graph pass the vertical or horizontal line test ?

    Text Solution

    |

  2. Consider the graph of y = f(x) as shown in the following figure. ...

    Text Solution

    |

  3. Which of the following functions has (have) y-symmetry or origin symme...

    Text Solution

    |

  4. The graph of functions are given in the following fingure. Discuss the...

    Text Solution

    |

  5. Check weather the following function/functions is/are periodic or not?...

    Text Solution

    |

  6. Suppose that f is even, periodic function with period 2, and that f(x)...

    Text Solution

    |

  7. The graph of y = f(x) is as shown in the following figure. Find t...

    Text Solution

    |

  8. The graph of f is shown. State, with reason, the numbers at which f is...

    Text Solution

    |

  9. If f:R→R, g:R→R are given by f(x)=(x+1)^2 and g(x)=x^2+1 , then w...

    Text Solution

    |

  10. (a) Can the graph of the function intersect the horizontal asymptote? ...

    Text Solution

    |

  11. The graph of y = f(x) is given with six labelled points. Anser the fol...

    Text Solution

    |

  12. Graph of functions are given in the following figure. Check the funct...

    Text Solution

    |

  13. In the following graph, state the absolute and local maximum and mini...

    Text Solution

    |

  14. Prove : ((1+cot^2 A)/(1+tan^2 A​))=((1−cotA)/(1−tanA​))^2=tan^2 A

    Text Solution

    |

  15. Evaluate int(0)^(pi/2)(sinx/(cosx+sinx))dx

    Text Solution

    |

  16. The figure shows the graphs of f, f' and f''. Indentify each curve and...

    Text Solution

    |

  17. Match the graph of y = f(x) in Column I with the corresponding graph ...

    Text Solution

    |

  18. If f(x) is an even function, then f'(x). If in a △ABC, atan A+ btan B=...

    Text Solution

    |