Select the correct statement about the function represented by the table. х
y
7
1
2.
21
3
63
189
4
5
567
O A. It is a linear function because the difference between each x and
y-value is constant
B. It is an exponential function because the factor between each -
and y value is constant.
O C. It is an exponential function because the yvalues increase by an
equal factor over equal intervals of x-values.
O D. It is a linear function because the yvalues increase by an equal
difference over equal intervals of x-values.

no

step-by-step explanation:

answer

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: