Question

Which function is graphed below? y=j3)

Answer 1

Answer:

$y = 3(\frac{1}{3} )^{x}$

Step-by-step explanation:

See the attached graph.

The points (0,3) and (1,1) are on the graph of the exponential function.

Let the function be $y = a(b)^{x}$ ....... (1)

Now, satisfying the point (0,3) we get from the equation (1),  

$3 = a(b)^{0} = a$

Therefore, the initial value of the function is a = 3

Hence, the equation becomes $y = 3(b)^{x}$ ......... (2)

Now, satisfying the point (1,1) we get from equation (2)  

$1 = 3 (b)^{1}$

⇒ b = 1/3

So, the final equation becomes $y = 3(\frac{1}{3} )^{x}$ (Answer)