Answered

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write an equation of an exponential function that passes through the points (1,6) (0,3)​

Sagot :

Answer:

y = 3 [tex](2)^{x}[/tex]

Step-by-step explanation:

an exponential function in standard form is

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

use 2 points to find a and b

using (0, 3 ) , then

3 = a [tex]b^{0}[/tex] [ [tex]b^{0}[/tex] = 1 ] , so

3 = a

y = 3[tex]b^{x}[/tex]

using (1, 6 ) , then

6 = 3 [tex]b^{1}[/tex] = 3b ( divide both sides by 3 )

2 = b

y = 3 [tex](2)^{x}[/tex] ← is the exponential function

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