# Identify the initial amount a and the growth factor b in the exponential function g(x) = 14 × 2^{x}

**Solution:**

Given,

g(x) = 14 × 2^{x}

It is an exponential function.

y = ab^{x}

where a is the initial amount and b is the growth/ decay factor.

Now we will compare the given function with ab^{x}

And 14 × 2^{x}

A = 14

B = 2

Therefore, the initial amount a is 14 and the growth factor b is 2

**Example:**

Identify the initial amount a and the growth factor b in the exponential function g(x) = 24 × 4^{x}

**Solution:**

Given,

g(x) = 24 × 4^{x}

It is an exponential function.

y = ab^{x}

where, a is the initial amount and b is the growth/ decay factor.

Now we will compare the given function with ab^{x}

And 24 × 4^{x}

A = 24

B = 4

Therefore, the initial amount a is 24 and the growth factor b is 4.

## Identify the initial amount a and the growth factor b in the exponential function g(x) = 14 × 2^{x}

**Summary:**

The initial amount a and the growth factor b in the exponential function g(x) = 14 × 2^{x} is 14 and 2 respectively.

visual curriculum