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

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

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 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 , 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.

answer: domain and range mean all possible values of x and y that could be substituted to the inequality. a solution means all possible values that make the inequality statement true. so while the range is still all real numbers, the solution is the shaded area, for which y will always be greater than the line of the function.