Question

Explain why the initial value of any function of the form f(x) = a(b^x) is equal to a. no sample response

Answer 1

Answer:

Basically, it is a because the b elevated to the zero results in 1, which multiplies a. Then the initial value is a.

Step-by-step explanation:

The initial value of a function f(x) is f(0), that is, the value of f when x = 0.

Format:

$f(x) = ab^{x}$

The initial value is f(0). So

$f(x) = ab^{x}$

$f(0) = ab^{0}$

Any non-zero value elevated to the zero is 1.

So

$f(0) = ab^{0} = a*1 = a$

Basically, it is a because the b elevated to the zero results in 1, which multiplies a. Then the initial value is a.

Answer 2

Answer:

SAmple Answer Edge 2020-2021

Step-by-step explanation:

When you substitute 0 for the exponent x, the expression simplifies to a times 1, which is just a. This is because any number to the 0 power equals 1. Since the initial value is the value of the function for an input of 0, the initial value for any function of this form will always be the value of a.