Answered

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Find an exponential function of the form y = ab* that passes through the points (0,4)
and (2, 100).
Oy=5-4x
Oy=4.5*
Oy-4-2*+84
Oy-25-2x

Sagot :

Answer:

2nd option

Step-by-step explanation:

given an exponential function in the form y = a[tex]b^{x}[/tex]

to find a and b use the coordinate points it passes through

using (0, 4 ) , then

4 = a[tex]b^{0}[/tex] [ [tex]b^{0}[/tex] = 1 ] , that is

a = 4 , so

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

using (2, 100 )

100 = 4b² ( divide both sides by 4 )

25 = b² ( take the square root of both sides )

[tex]\sqrt{25}[/tex] = b , that is

b = 5

then exponential function is

y = 4 . [tex]5^{x}[/tex]

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