ultron7
contestada

On a coordinate plane, an exponential function has a horizontal asymptote of y = 0. The function goes through points (negative 2, two-ninths), (negative 1, two-thirds), (0, 2), (1, 6), (2, 18), and (3, 54).
What is the multiplicative rate of change for the exponential function graphed to the left?


Respuesta :

Answer:

3

Step-by-step explanation:

i had it

The multiplicative rate of change of the function is 3

From the question, we have the following ordered pairs

(-2, 2/9), (-1, 2/3), (0, 2), (1, 6), (2, 18), and (3, 54)

An exponential equation is represented as:

[tex]y =ab^x[/tex]

When x = 0, we have:

[tex]ab^0 = 2[/tex]

[tex]a = 2[/tex]

When x = 1, we have:

[tex]ab^1 = 6[/tex]

[tex]ab = 6[/tex]

Substitute 2 for a

[tex]2b = 6[/tex]

Solve for b

[tex]b = 3[/tex]

Hence, the multiplicative rate of change of the function is 3

Read more about exponential functions at:

https://brainly.com/question/11464095