Answer:
Step-by-step explanation:
1) Your calculator can evaluate f(-5) for you. It will be ...
f(-5) = (1/3)^(-5) -3 = 243 -3
f(-5) = 240
So, a point on the graph is (-5, 240).
Other points on the graph will be (1, -8/3), (0, -2), (-1, 0), (-2, 6).
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2) The given function f(x) can be written as ...
f(x) = (1/3)^x -3 = (3^-1)^x -3 = 3^-x -3
So, the transformed function is transformed by adding 1, changing the horizontal asymptote from -3 to -2. The whole graph is translated upward one unit. Each of the above-listed points will have 1 added to its y-value.
