Answer:
The correct options are:
So, these functions have the same range.
The functions have the same base.
The functions have the same domain.
g(x) is a translation left 1 unit.
Step-by-step explanation:
According to the table, both are exponential functions.
We have that
Lets see each affirmation:
The functions have the same base.
An exponential function has base a.
In this problems, both f and g have base 3.
The functions have the same range.
The range of f are all the values that f can assume. That is, all the positive numbers.
The range of g are all the values that g can assume. That is, also all the positive numbers.
So, these functions have the same range.
The functions have the same exponent.
An exponential function has exponent x.
f has exponent x and g has exponent x + 1. So those functions do not have the same exponent.
The functions have the same domain.
Yes, they both have x = {0,1,2,3} as domain.
g(x) is a translation left 1 unit.
g(x) = f(x+1). So yes, g(x) is a translation left 1 unit.
g(x) is a translation right 2 units.
g(x) is not f(x-2). So g(x) is not a translation right 2 units.
g(x) is a translation up 2 units.
g(x) is not f(x) + 2. So g(x) is not a translation up 2 units.