हिंदी

Which of the following relations are functions? If it is a function determine its domain and range: {(0, 0), (1, 1), (1, −1), (4, 2), (4, −2), (9, 3), (9, −3), (16, 4), (16, −4)} - Mathematics and Statistics

Advertisements
Advertisements

प्रश्न

Which of the following relations are functions? If it is a function determine its domain and range:

{(0, 0), (1, 1), (1, −1), (4, 2), (4, −2), (9, 3), (9, −3), (16, 4), (16, −4)}

योग

उत्तर

{(0, 0), (1, 1), (1, –1), (4, 2), (4, –2), (9, 3), (9, –3), (16, 4), (16, – 4)}

∵ (1, 1), (1, –1) ∈ the relation

∴ Given relation is not a function.

As element 1 of the domain has not been assigned a unique element of co-domain.

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 2: Functions - Miscellaneous Exercise 2 [पृष्ठ ३२]

APPEARS IN

बालभारती Mathematics and Statistics 1 (Commerce) [English] 11 Standard Maharashtra State Board
अध्याय 2 Functions
Miscellaneous Exercise 2 | Q 1. (ii) | पृष्ठ ३२

संबंधित प्रश्न

Find the domain of the function  f(x) = `(x^2 + 2x + 1)/(x^2 - 8x + 12)`


Let A = {9, 10, 11, 12, 13} and let f: A → N be defined by f(n) = the highest prime factor of n. Find the range of f.


Let f : R → R and g : C → C be two functions defined as f(x) = x2 and g(x) = x2. Are they equal functions?


If \[f\left( x \right) = \frac{2x}{1 + x^2}\] , show that f(tan θ) = sin 2θ.

 

 


If f(x) = (a − xn)1/na > 0 and n ∈ N, then prove that f(f(x)) = x for all x.

 

If f(x) = cos [π2]x + cos [−π2x, where [x] denotes the greatest integer less than or equal to x, then write the value of f(π).


Write the range of the function f(x) = cos [x], where \[\frac{- \pi}{2} < x < \frac{\pi}{2}\] .

 

Let  \[f\left( x \right) = \sqrt{x^2 + 1}\ ] . Then, which of the following is correct?

 


If f(m) = m2 − 3m + 1, find f(−3)


Find x, if f(x) = g(x) where f(x) = x4 + 2x2, g(x) = 11x2


Express the area A of circle as a function of its circumference C.


Express the following exponential equation in logarithmic form

25 = 32


Express the following exponential equation in logarithmic form

`9^(3/2)` = 27


Write the following expression as sum or difference of logarithm

`log (sqrt(x) root(3)(y))`


Write the following expression as a single logarithm.

ln (x + 2) + ln (x − 2) − 3 ln (x + 5)


Answer the following:

Solve for x, logx (8x – 3) – logx 4 = 2


A graph representing the function f(x) is given in it is clear that f(9) = 2

What is the image of 6 under f?


Which of the following functions is NOT one-one?


If f: R `rightarrow` R be a function defined by f(x) = 4x3 – 7. Then ______.


If f : R – {2} `rightarrow` R i s a function defined by f(x) = `(x^2 - 4)/(x - 2)`, then its range is ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×