Question

3. Sketch the graph of f(x) = -()* and describe the end behavior ofthe graphy10822 0010-9-8-7-6-5-4-3-2-1 0 1 2 3 4 5 6 7 8 9 10-2-4-6101

Answer 1

The graph of the function

$f(x)=-(\frac{1}{3})^x$

is:

To describe the end behavior of a graph we need to look at the graph when x approaches infinity or minus infinity.

From the graph we notice that when x approaches minus infinity the graph tends to minus infinity as well.

We also notice that when x approaches infinity the graph tends to zero.