SOLUTION: 4. Graph the function below. Determine the domain, range, and horizontal asymptote. Please show all of your work. Submit your graph. f(x)=5^(-x)-4 please help.

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: 4. Graph the function below. Determine the domain, range, and horizontal asymptote. Please show all of your work. Submit your graph. f(x)=5^(-x)-4 please help.      Log On


   

Question 471048: 4. Graph the function below. Determine the domain, range, and horizontal asymptote. Please show all of your work. Submit your graph.
f(x)=5^(-x)-4

please help.
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Graph the function below. Determine the domain, range, and horizontal asymptote. Please show all of your work. Submit your graph.
f(x)=5^(-x)-4
**
The basic curve of 5^x is rotated around the y-axis and dropped 4 units down.
See the graph below of the basic 5^x curve
+graph%28+300%2C+300%2C+-6%2C+5%2C+-10%2C+10%2C5%5Ex%29+
..
5^(-x)-4
Domain: (-∞,∞)
Range:(-4,∞)
Horizontal Asymptote: y=-4
See the graph below of the 5^(-x)-4 curve
+graph%28+300%2C+300%2C+-6%2C+5%2C+-10%2C+10%2C+5%5E%28-x%29-4%29+