Consider the function f ( x ) = 9 x . determine the average rate of change (aroc) of f over the following intervals of x . from x = 2 to x = 3.5 . aroc: from x = 3.5 to x = 5 . aroc: from x = 5 to x = 6.5 . aroc: consider the three average rates of change you computed in part (a). are these average rates of change increasing, decreasing, or some combination of both? increasing decreasing some combination of both over the interval from x = 2 to x = 6.5 , does f have positive concavity, negative concavity, or some combination of both? positive concavity negative concavity some combination of both

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:

ιт ωιℓℓ вєтнє fιяѕт ¢нσι¢є(α.)

convert the exponential equation to a logarithmic equation using the logarithm base (6) of the right side (36) equals the exponent (2).

ℓσg6(36)=2

нσρє ι ¢συℓ∂ нєℓρ уα