What is the domain, range, and the horizontal asymptote of the graph y = 4^(x+2) – 3?-Collection of common programming errors

2 years ago
admin
1 minute
  • Domain: are there any values of x that make y undefined? No, 4 can be raised to any exponent. So the domain is all real numbers. Assuming x must be a real number, the range is: 4^(x + 2) >= 0 4^(x + 2) – 3 >= -3 y >= -3

    Horizontal asymptote: as x approaches negative infinity, then so does x + 2, so 4^(x + 2) approaches zero, so 4^(x + 2) – 3 approaches -3, so y approaches -3.

    • Originally posted 2013-11-09 21:44:20.