हिंदी

Check if the following relation is function: - Mathematics and Statistics

Advertisements
Advertisements

प्रश्न

Check if the following relation is function:

आकृति
एक पंक्ति में उत्तर

उत्तर

Yes
Reason:
Every element of set A has been assigned a unique element in set B.

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 2: Functions - Exercise 2.1 [पृष्ठ ३०]

APPEARS IN

बालभारती Mathematics and Statistics 1 (Commerce) [English] 11 Standard Maharashtra State Board
अध्याय 2 Functions
Exercise 2.1 | Q 1. (a) | पृष्ठ ३०

संबंधित प्रश्न

Let f : R+ → R, where R+ is the set of all positive real numbers, such that f(x) = loge x. Determine

(a) the image set of the domain 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\[f\left( x \right) = 1 - \frac{1}{x}\] , then write the value of \[f\left( f\left( \frac{1}{x} \right) \right)\]

 

 


If f(x) =  4x − x2x ∈ R, then write the value of f(a + 1) −f(a − 1).

 

Let f(x) = x, \[g\left( x \right) = \frac{1}{x}\]  and h(x) = f(xg(x). Then, h(x) = 1


The range of the function \[f\left( x \right) = \frac{x}{\left| x \right|}\] is


If f(m) = m2 − 3m + 1, find f(− x)


Show that if f : A → B and g : B → C are one-one, then g ° f is also one-one


Write the following expression as sum or difference of logarithm

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


Answer the following:

A function f is defined as f(x) = 4x + 5, for – 4 ≤ x < 0. Find the values of f(–1), f(–2), f(0), if they exist


Answer the following:

A function f is defined as : f(x) = 5 – x for 0 ≤ x ≤ 4. Find the value of x such that f(x) = 5


Answer the following:

Find the domain of the following function.

f(x) = `(x^2 + 4x + 4)/(x^2 + x - 6)`


Find the domain of the following function.

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


A function f is defined by f(x) = 2x – 3 find `("f"(0) + "f"(1))/2`


An open box is to be made from a square piece of material, 24 cm on a side, by cutting equal square from the corner and turning up the side as shown. Express the volume V of the box as a function of x


The data in the adjacent table depicts the length of a person's forehand and their corresponding height. Based on this data, a student finds a relationship between the height (y) and the forehand length (x) as y = ax + b, where a, b are constant.

Length ‘x’ of
forehand (in cm)
Height 'y' 
(in inches)
35 56
45 65
50 69.5
55 74

Check if this relation is a function


Find the range of the following functions given by `|x - 4|/(x - 4)`


Find the domain of the following function given by:

f(x) = `(3x)/(2x - 8)`


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


The domain of f(x) = `sin^-1 [log_2(x/2)]` is ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×