Question

The following table represents an exponential function.

The exponential function represented by the table can be written in the form y=ab^x. Find the values for a and b

Answer 1

a=4

b=1/2

Explanation:

The exponential function is given as: ab^x

When x=0 , ab^0=4

⇒ a=4 (since, b^0=1)

When x=1, ab^1=2

4b=2

⇒ b=1/2

Hence, The values of a and b are:

a=4

b=1/2

Answer 2

a = 4

b = 1/2

Explanation:

if x =0 then b^0 = 1. You have your first constant.

y = a*b^0

4 = a * 1

a = 4

Now you can pick 1 point to figure out b

x = 1

y = 2

y = a*b^x

2 = 4*b^1 but b^1 is just b

2 = 4* b

b = 2/4

b = 1/2