Question

The points (0,3) and (1,12) are solutions of an exponential function. What is the equation of the exponential function?

A) h(x) = 3(4)x
B) h(x) = 4(3)x
C) h(x) = 4(1∕3)x
D) h(x) = 3(0.25)x

Answer 1

Answer:

A

Step-by-step explanation:

An exponential function has the form

y = a$(b)^{x}$

Use the given solutions to find a and b

Using (0, 3 ) , then

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

a = 3

y = 3$(b)^{x}$

Using (1, 12 ) , then

12 = 3$b^{1}$ = 3b ( divide both sides by 3 )

4 = b , then

h(x) = 3$(4)^{x}$ → A