Domain and range are the set of all real numbers.
Given that Ann thought of a number N, multiplied it by 5 and added 7. Then she told the result R to Jim
Here no restriction is mentioned for the number N.
It can be any number but real.
Hence we can say that domain is the set of all real numbers
For range let us calculate y for any x
If Ann thought of x as the number then
she would multiply by 5 to get 5x and add 7 to get 5x+7
Hence y =5x+7
Since y has no exception here range can also be the set of all real numbers
Given : Ann thought of a number N, multiplied it by 5 and added 7. Then she told the result R to Jim.
To find : The Domain and Range of this function.
Ann thought of a number N,
Multiplied the number by 5 = 5N
Added 7 = 5N+7
Result is R = 5N+7
The function form is
The Domain is where the function is defined.
The domain of the given function is
The range is the set of value that corresponds to domain.
-∞ < x < ∞
-∞ < y <∞
Suppose number is x
When Ann multiple it by 5 and added 7 to it the equation will be
= 5x + 7
The domain of a function is the complete set of possible values of the independent variable.
The range of a function is the spread of possible y-values (minimum y-value to maximum y-value)Domain:
-∞ < x < ∞ Set of all integersRange :
-∞ < y < ∞ Set of all integers