Ann thought of a number n, multiplied it by 5 and added 7. then she told the result r to jim.

find the domain and the range of this function.

Answers

Ann thought of a number N, multiplied it by 5 and added 7. Then she told the result R to Jim.

a) Find the domain and the range of this function.

b) Draw a graph that shows how R depends on N

c) Write a formula that will tell you the value of R for any value of N.

d) Using the previous formula, write the formula that could help Jim guess Anne's number N

Domain and range are the set of all real numbers.

Step-by-step explanation:

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

D=(-\infty,\infty),[N|N\in\mathbb{R}]

R=(-\infty,\infty),[R|R\in\mathbb{R}]

Step-by-step explanation:

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.  

Solution :

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 R=5N+7

The Domain is where the function is defined.

The domain of the given function is

D=(-\infty,\infty),[N|N\in\mathbb{R}]

The range is the set of value that corresponds to domain.

R=(-\infty,\infty),[R|R\in\mathbb{R}]

-∞ < x < ∞

-∞ < y <∞

Step-by-step explanation:

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 integers

Range :

-∞ < y < ∞        Set of all integers

This function is
R= 5N + 7

The domain (its x-values) would be all real numbers and the range (its y-values) would also be all real numbers.


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