Answer:
y = 4 [tex](\frac{1}{2}) ^{x}[/tex]
Step-by-step explanation:
For an exponential function in the form
y = a [tex]b^{x}[/tex]
Use ordered pairs from the table to find values of a and b
Using (0, 4 ), then
4 = a [tex]b^{0}[/tex] ( [tex]b^{0}[/tex] = 1 ), thus
a = 4, so
y = 4 [tex]b^{x}[/tex]
Using (1, 2 ) , then
2 = 4 [tex]b^{1}[/tex] = 4b ( divide both sides by 4 )
b = [tex]\frac{1}{2}[/tex]
Thus exponential function is
y = 4 [tex](\frac{1}{2}) ^{x}[/tex]
