Question

Find the equation of the exponential function represented by the table below:

Answer 1

Answer:

y = 2$(2)^{x}$

Step-by-step explanation:

For the exponential function in the form

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

Use the ordered pairs from the table to find a and b

Using (0, 2 ) , then

2 = a$b^{0}$ ( $b^{0}$ = 1 ) , thus

a = 2 , so

y = 2$b^{x}$

Using (1, 4 ) , then

4 = 2b ( divide both sides by 2 ) , then

b = 2

Thus exponential function is

y = 2$(2)^{x}$