हिंदी

Find the range of the following functions given by f(x) = |x − 3| - Mathematics

Advertisements
Advertisements

प्रश्न

Find the range of the following functions given by f(x) = |x − 3|

योग

उत्तर

We know |x| are defined for all real values.

And |x – 3| will always be greater than or equal to 0.

i.e., f(x) ≥ 0

Therefore, the range of f = `[0, oo)`

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 2: Relations and Functions - Exercise [पृष्ठ २९]

APPEARS IN

एनसीईआरटी एक्झांप्लर Mathematics [English] Class 11
अध्याय 2 Relations and Functions
Exercise | Q 18.(iii) | पृष्ठ २९

वीडियो ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्न

Let f : [0, ∞) → R and g : R → R be defined by \[f\left( x \right) = \sqrt{x}\] and g(x) = x. Find f + gf − gfg and \[\frac{f}{g}\] .

 
 

Write the range of the function f(x) = ex[x]x ∈ R.

 

The domain of the function \[f\left( x \right) = \sqrt{5 \left| x \right| - x^2 - 6}\] is

 

The range of the function f(x) = |x − 1| is


If f(m) = m2 − 3m + 1, find f(− x)


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

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


Check if the following relation is a function.


Check if the following relation is a function.


If f(m) = m2 − 3m + 1, find f(x + 1)


If f(m) = m2 − 3m + 1, find f(− x)


Find x, if g(x) = 0 where g(x) = `(18 -2x^2)/7`


Express the area A of a square as a function of its side s


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


Express the following exponential equation in logarithmic form

3–4 = `1/81`


Express the following exponential equation in logarithmic form

10−2 = 0.01


Write the following expression as a single logarithm.

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


If f(x) = 3x + 5, g(x) = 6x − 1, then find (f − g) (2)


Select the correct answer from given alternatives

If f(x) = 2x2 + bx + c and f(0) = 3 and f(2) = 1, then f(1) is equal to


Answer the following:

Let f: R → R be a function defined by f(x) = 5x3 – 8 for all x ∈ R, show that f is one-one and onto. Hence find f –1 


Answer the following:

Let f : R → R be given by f(x) = x + 5 for all x ∈ R. Draw its graph


Answer the following:

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


Given the function f: x → x2 – 5x + 6, evaluate f(x – 1)


The domain of the function f(x) = `sqrtx` is ______.


Mapping f: R → R which is defined as f(x) = sin x, x ∈ R will be ______ 


Find the range of the following functions given by f(x) = 1 – |x – 2| 


Redefine the function f(x) = x − 2 + 2 + x , – 3 ≤ x ≤ 3


The domain of the function f defined by f(x) = `sqrt(4 - x) + 1/sqrt(x^2 - 1)` is equal to ______.


The domain and range of real function f defined by f(x) = `sqrt(x - 1)` is given by ______.


Which of the following functions is NOT one-one?


The range of the function f(x) = x2 + 2x+ 2 is ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×