Home
Class 12
MATHS
Suppose that f is even, periodic functio...

Suppose that f is even, periodic function with period 2, and that f(x) = x for all x in the interval [0, 1]. Then draw the graph of y = f(x).

Text Solution

Verified by Experts

Since f is periodic with period 2and ` f(x) = x to x in [0, 1],` also f(x) is even
So the graph is symmetrical about the y-axis.
So the graph of f(x) is as shown.
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

Suppose that f is an even, periodic function with period 2,a n dt h a tf(x)=x for all x in the interval [0,1] . The values of [10f(3. 14)] is(where [.] represents the greatest integer function) ______

Suppose that f is an even, periodic function with period 2,a n dt h a tf(x)=x for all x in the interval [0,1] . The values of [10f(3. 14)] is(where [.] represents the greatest integer function) ______

Draw the graph of the function f(x)=x^2

Given the graph of the function y=f(x) , draw the graph of y ="sgn"f(x) .

Draw the graph of the function f(x) =x^x .

Draw the graph of y=f(x)=(x+1)/(x^(2)+1)

An even periodic function f:R to R with period 4 is such that f(x)={{:(max.(|x|, x^(2))",",, 0lex lt1), (x",",,1le xle 2):} . Then draw the graph of y= f(x) for x in R

If f:RR-> RR is a differentiable function such that f(x) > 2f(x) for all x in RR and f(0)=1, then

Draw the graph of y=f(x)=(x^(2))/(x^(2)+1) .

The function f is defined by f(x) = {{:(1-x, x lt 0) ,( 1, x=0),( x+1,x gt 0):} draw the graph of f(x) .

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

    |