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Q5 (3)  Find the range of each of the following functions.

f (x) = x, x is a real number

Given function is  It is given that  x is a real  number Therefore, Range of function   is  R

Q5 (2)  Find the range of each of the following functions

, x is a real number.

Given function is  It is given that  x is a real  number Now, Add 2 on both the sides  Therefore, Range of function  is

Q5 (1)  Find the range of each of the following functions.

Given function is  It is given that  Now, Add 2 on both the sides  Therefore, Range of function  is

Q4(4)    The function ‘t’ which maps temperature in degree Celsius into temperature in
degree Fahrenheit is defined by
The value of C, when t(C) = 212.

Given function is  Now, Therefore, When t(C) = 212 , value of C is  100

Q4(3)    The function ‘t’ which maps temperature in degree Celsius into temperature in
degree Fahrenheit is defined by
t (-10)

Given function is  Now, Therefore, Value of t(-10) is  14

Q4(2)    The function ‘t’ which maps temperature in degree Celsius into temperature in
degree Fahrenheit is defined by
t (28)

Given function is  Now, Therefore, Value of t(28) is

Q4(1)    The function ‘t’ which maps temperature in degree Celsius into temperature in
degree Fahrenheit is defined by
t (0)
.

Given function is  Now, Therefore, Value of t(0) is 32

Q3   A function f is defined by f(x) = 2x –5. Write down the values of f (-3)

Given function is  Now, Therefore, Value of f(-3) is -11

Q3 (2)  A function f is defined by f(x) = 2x –5. Write down the values of f (7)

Given function is  Now, Therefore, Value of f(7) is 9

Q3 (1)   A function f is defined by f(x) = 2x –5. Write down the values of
f (0),

Given function is  Now, Therefore, Value of f(0) is -5

Q2 (2)  Find the domain and range of the following real functions:

Given function is  Now, Domain: These are the values of x for which f(x) is defined. for the given f(x) we can say that, f(x) should be real and for that,9 - x2 ≥ 0 [Since a value less than 0 will give an imaginary value] Therefore, The domain of f(x) is   Now, If  we put the value of x from   we will observe that the value of function   varies from 0 to 3 Therefore, Range of f(x) is

Q2  Find the domain and range of the following real functions:

Given function is  Now,  we know that Now, for a function f(x), Domain: The values that can be put in the function to obtain real value. For example f(x) = x, now we can put any value in place of x and we will get a real value. Hence, the domain of this function will be Real Numbers. Range: The values that we obtain of the function after putting the value from domain. For Example: f(x) = x +...

Q1 (3)  Which of the following relations are functions? Give reasons. If it is a function,
determine its domain and range.

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

Since the same first element 1 corresponds to two different images 3 and 5. Hence, this relation is not a function.

Q1 (2)  Which of the following relations are functions? Give reasons. If it is a function,
determine its domain and range.

{(2,1), (4,2), (6,3), (8,4), (10,5), (12,6), (14,7)}

Since, 2, 4, 6, 8, 10,12 and 14 are the elements of domain R having their unique images. Hence, this relation R is a function.   Now, As Domain of R = set of all first elements of the order pairs in the relation. Therefore, Domain of   Now, As Range of R = set of all second elements of the order pairs in the relation. Therefore, Range of   Therefore, domain and range of R are    respectively

Q1 (1)  Which of the following relations are functions? Give reasons. If it is a function,
determine its domain and range.

{(2,1), (5,1), (8,1), (11,1), (14,1), (17,1)}

Since, 2, 5, 8, 11, 14 and 17 are the elements of domain R having their unique images. Hence, this relation R is a function. Now, As Domain of R = set of all first elements of the order pairs in the relation. Therefore, Domain of   Now, As Range of R = set of all second elements of the order pairs in the relation. Therefore, Range of  Therefore, domain and range of R are    respectively
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