Question

Find an exponential function of the form y = ab* that passes through the points (0,4)

Answer 1

Answer:

2nd option

Step-by-step explanation:

given an exponential function in the form y = a$b^{x}$

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

using (0, 4 ) , then

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

a = 4 , so

y = 4$b^{x}$

using (2, 100 )

100 = 4b² ( divide both sides by 4 )

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

$\sqrt{25}$ = b , that is

b = 5

then exponential function is

y = 4 . $5^{x}$