In: Advanced Math
For the following exercises, describe the end behavior of the graphs of the functions.
f(x) = −5(4)x − 1
Consider the graph of the function;
f(x) = -5(4)x - 1
The graph of the function is shown below:
The end of the behavior for x:(-∞ → ∞) is explained as follows:
Here, the graph starts from -∞ and open downwards, then;
limx→-∞f(x) = -5(4)x – 1
= -1
Similarly;
limx→∞f(x) = -5(4)x – 1
= -∞
Therefore, for;
x → ∞, f(x) = -∞ and x → -∞, f(x) = -1.
Therefore, for;
x → ∞, f(x) = -∞ and x → -∞, f(x) = -1.