For the following exercises, describe the end behavior of the graphs of the functions. f(x) = −5(4)x − 1

For the following exercises, describe the end behavior of the graphs of the functions.

f(x) = −5(4)x − 1

Solutions

Expert Solution

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.

Nabeel answered 1 year ago

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