(iii) Given, \[f\left( x \right)\text{ }=\text{ }x,\] x is a genuine number Plainly, the scope of f is the arrangement of every single genuine number. In this way, Scope of \[f\text{ }=\text{ }R\]...
Find the range of each of the following functions. (i) f(x) = 2 – 3x, x ∈ R, x > 0. (ii) f(x) = x2 + 2, x is a real number.
(I) Given, \[f\left( x \right)\text{ }=\text{ }2\text{ }\text{ }3x,\text{ }x\in R,\text{ }x\text{ }>\text{ }0.\] We have, \[x\text{ }>\text{ }0\] Thus, \[3x\text{ }>\text{ }0\] \[-\text{...
The function ‘t’ which maps temperature in degree Celsius into temperature in degree Fahrenheit is defined by (fig 1) Find (i) t (0) (ii) t (28) (iii) t (–10) (iv) The value of C, when t(C) = 212
fig 1: SOLUTION:
A function f is defined by f(x) = 2x – 5. Write down the values of (iii) f(–3)
Given, Capacity, \[f\left( x \right)\text{ }=\text{ }2x\text{ }\text{ }5.\] Subsequently, (iii) \[f\left( \text{ }3 \right)\text{ }=\text{ }2\text{ }\times \text{ }\left( \text{ }3 \right)\text{...
A function f is defined by f(x) = 2x – 5. Write down the values of (i) f(0), (ii) f(7)
Given, Capacity, \[f\left( x \right)\text{ }=\text{ }2x\text{ }\text{ }5.\] Subsequently, (I) \[f\left( 0 \right)\text{ }=\text{ }2\text{ }\times \text{ }0\text{ }\text{ }5\text{ }=\text{ }0\text{...
Find the domain and range of the following real function: (i) f(x) = –|x| (ii) f(x) = √(9 – x2)
(I) Given, \[f\left( x \right)\text{ }=\text{ }\text{ }\left| x \right|,\text{ }x\in R\] We realize that As f(x) is characterized for x ∈ R, the space of f is R. It is additionally seen that the...
Which of the following relations are functions? Give reasons. If it is a function, determine its domain and range.
(iii) \[\left\{ \left( 1,\text{ }3 \right),\text{ }\left( 1,\text{ }5 \right),\text{ }\left( 2,\text{ }5 \right) \right\}\] It's seen that a similar first component i.e., 1 compares to two unique...
Which of the following relations are functions? Give reasons. If it is a function, determine its domain and range. (i) {(2, 1), (5, 1), (8, 1), (11, 1), (14, 1), (17, 1)} (ii) {(2, 1), (4, 2), (6, 3), (8, 4), (10, 5), (12, 6), (14, 7)}
(I) \[\left\{ \left( 2,\text{ }1 \right),\text{ }\left( 5,\text{ }1 \right),\text{ }\left( 8,\text{ }1 \right),\text{ }\left( 11,\text{ }1 \right),\text{ }\left( 14,\text{ }1 \right),\text{ }\left(...