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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