Question

Х

Answer 1

Answer:

$y = 3(2)^x$

Step-by-step explanation:

Given

The attached table

Required

Determine the exponential function

An exponential function is represented as:

$y = ab^x$

From the table;

$(x,y)=(0,3)$

So:

$y = ab^x$

$3 = a * b^0$

$3 = a * 1$

$3 = a$

$a = 3$

Also:

$(x,y) = (1,6)$

So:

$y = ab^x$

$6 = a * b^1$

$6 = a * b$

Substitute $a = 3$

$6 = 3 * b$

Solve for b

$b = 2$

So:

$y = ab^x$

$y = 3(2)^x$