English

Which of the following relations are functions? If it is a function determine its domain and range: {(1, 1), (3, 1), (5, 2)} - Mathematics and Statistics

Advertisements
Advertisements

Question

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

{(1, 1), (3, 1), (5, 2)}

Sum

Solution

{(1, 1), (3, 1), (5, 2)}


Every element of set A has been assigned a unique element in set B.
∴ Given relation is a function.
Domain = {1, 3, 5}, Range = {1, 2}

shaalaa.com
  Is there an error in this question or solution?
Chapter 2: Functions - Miscellaneous Exercise 2 [Page 32]

APPEARS IN

Balbharati Mathematics and Statistics 1 (Commerce) [English] 11 Standard Maharashtra State Board
Chapter 2 Functions
Miscellaneous Exercise 2 | Q 1. (iii) | Page 32

RELATED QUESTIONS

If f(x) = x2, find `(f(1.1) - f(1))/((1.1 - 1))`


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  \[f\left( x \right) = \frac{1}{1 - x}\] , show that f[f[f(x)]] = x.

 

 


If for non-zero xaf(x) + bf \[\left( \frac{1}{x} \right) = \frac{1}{x} - 5\] , where a ≠ b, then find f(x).

 

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

 

If f(x) = cos (log x), then the value of f(xf(y) −\[\frac{1}{2}\left\{ f\left( \frac{x}{y} \right) + f\left( xy \right) \right\}\] is

 

If f(m) = m2 − 3m + 1, find f(−3)


Which sets of ordered pairs represent functions from A = {1, 2, 3, 4} to B = {−1, 0, 1, 2, 3}? Justify.

{(1, 3), (4, 1), (2, 2)}


Find x, if g(x) = 0 where g(x) = x3 − 2x2 − 5x + 6


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


Find the domain and range of the following function.

f(x) = `root(3)(x + 1)`


Express the following logarithmic equation in exponential form

`log_5  1/25` = – 2


Express the following logarithmic equation in exponential form

ln 1 = 0


Answer the following:

Simplify `log_10  28/45 - log_10  35/324 + log_10  325/432 - log_10  13/15`


Find the domain of the following function.

f(x) = `sqrtlog(x^2 - 6x + 6)`


Answer the following:

Find the range of the following function.

f(x) = `x/(9 + x^2)`


A function f is defined by f(x) = 2x – 3 find x such that f(x) = x


The domain of the function f defined by f(x) = `1/sqrt(x - |x|)` is ______.


Let f(x) = `sqrt(1 + x^2)`, then ______.


The domain of the function f(x) = `sin^-1((|x| + 5)/(x^2 + 1))` is (–∞, –a] ≈ [a, ∞). Then a is equal to ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×
Our website is made possible by ad-free subscriptions or displaying online advertisements to our visitors.
If you don't like ads you can support us by buying an ad-free subscription or please consider supporting us by disabling your ad blocker. Thank you.