Alana wants to start a chain of emails, which she does by sending an email to 5 of her friends. she asks each of them to send that email to 2 of their friends the next day and to tell each of their friends to send the email to 2 of their friends the day after, and so on. should the number of people that receive an email each day be modeled with a linear function or an exponential function? justify your answer and then write an equation to model the situation.

let f (x ) is a function and c be a positive real number,   the graph of the function g (x ) = f (cx ) is represented as follows.

when, c > 1,   the function compresses it in the x - direction.

when, 0 < c < 1, the function stretches it.

the function is g ( x ) = (9x )2.

the heighest power of x in g ( x ) = (9x )2 is 2, so the parent function is square function.

the equation of parent function is f ( x ) = x 2 .

the function is g ( x ) = (9x )2 and the parent function is f ( x ) = x 2 .

so, the functions f and g have the following relationship.

g ( x ) = f ( 9x ).

compare the function g ( x ) = f ( 9x ) with g (x ) = f (cx ).

c = 9 ( > 1 ).

so, the function g (x ) = (9x )2 compresses it in the x - direction.

step-by-step explanation:

it's possible to build a triangle with side lengths of 3, 3, and 9.- true ( b.)