Question

Find the equation of the exponential function represented by the table above​

Answer 1

Answer: Y = 3 × 2^x

Step-by-step explanation:

Let assume that the equation of the exponential function represented by the table is

Y = 3(2)^x

When x = 0

Substitute x for 0. Then,

Y = 3 × 2^0

Anything raised to power of zero is equal to one.

Y = 3 × 1 = 3

When x = 1

Repeat the process

Y = 3(2)^1

Y = 3 × 2 = 6

When x = 2

Y = 3(2)^2

Y = 3 × 4 = 12

And finally, when x = 3

Y = 3(2)^x

Substitute x for 3

Y = 3 × 2^3

Y = 3 × 8

Y = 24.

We can therefore conclude that the equation of the exponential function represented by the table above is

Y = 3 × 2^x