Question

The base of an exponential function cannot be a negative number true or false

Answer 1

True. It can be negative. Then it would not be continuous; think about what if the exponent was fractional.

Answer 2

Answer:

True

Step-by-step explanation:

Given statement : The base of an exponential function cannot be a negative number.

We need to check whether the given statement is true or not.

The general form of an exponential function is

$f(x)=ab^x$

where, a is the initial value and b is the base of exponential function.

The value of base b is always greater than 0 because

1. The terms like $(-3)^\frac{1}{2}$ is an imaginary number and it make no sense. So, the base of an exponential function cannot be a negative number.

2. It b=0, then $(0)^x=0$, which is a constant function. So, the base of an exponential function cannot be 0.

It means b>0.

Therefore, the given the given statement is true.