teuschlerjordan7 teuschlerjordan7
  • 11-04-2021
  • Mathematics
contestada

find the equation of the exponential function represented by the table below
x y
0 3

1 9

2 27

3 81

Respuesta :

altavistard
altavistard altavistard
  • 11-04-2021

Answer:

y = 3^(1 + x)

Step-by-step explanation:

Notice that each time x increases by 1, y increases by a factor of 3.

Thus, the required equation  has the form y = 3^x.

Check:  If x = 0, do we get 3?  No.  Therefore we must modify the exponent:

y = 3^(1 + x)

Check:  If x = 0, do we get 3?  3^(1 + 0) = 3 (correct)

If x = 2, do we get 27?  3(1 + 2) = 3^3 + 27 (correct)

Answer Link

Otras preguntas

Explain the positive and negative effects of globalization on environment?
how many times could a 3 minute song play in a hour?
what is 18/60 simplified?
What is 1/3 off of 96.69?
Current information for the Stellar Corporation follows: Beginning work in process inventory $ 34,900 Ending work in process inventory 36,300 Direct material
african rainforest are located on either side of
4|w − 5| = 4 Write your answers as integers or as proper or improper fractions in simplest form. w = or w =
Which of the following describes gothic elementary represented in the Edgar Allan Poe’s the raven
which of the following statements is true about the relationship between the pilgrims and the native americans?
Every month, Edmund saves some money and puts the money into a bag. The bag now contains some $2, $5 and $10 notes with the total value of $3782. There are 312