Respuesta :

Answer:

y = 4[tex](2)^{x}[/tex]

Step-by-step explanation:

An exponential function in standard form is

y = a [tex]b^{x}[/tex]

Use ordered pairs from the table to find a and b

Using (0, 4), then

4 = a [tex]b^{0}[/tex] ( note that [tex]b^{0}[/tex] = 1 ), so

a = 4, then

y = 4 [tex]b^{x}[/tex]

Using (1, 8)

8 = 4 [tex]b^{1}[/tex] = 4b ( divide both sides by 4 )

b = 2

y = 4 [tex](2)^{x}[/tex] ← represents the values in the table