The function ƒ (x) = (?)* is shown on the coordinate plane. Select the drop-down menus to correctly describe the end behavior of
f (x)
1. As x decreases without bound, the graph of f (x)
A. Increases without bound.
B. Approaches y=0
C. Decreases without bound
2. As x increases without bound, the graph of f (x)
A. Approaches y=0
B. Increases without bound
C. Decreases without bound
1. As x decreases without bound, the graph of f (x)
A. Increases without bound.
B. Approaches y=0
C. Decreases without bound
2. As x increases without bound, the graph of f (x)
A. Approaches y=0
B. Increases without bound
C. Decreases without bound
1 answer:
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Answer:
Y = 3x^x is a graph that has exponential growth while y = 3^-x has exponential decay.
Y = 3x^x (-∞, 0) and (∞, ∞).
Y = 3x^-x (-∞, ∞) and (∞, 0).
Step-by-step explanation:
The infinity symbols were being used to represent the x and y values of each graph. I will call y = 3^x "graph 1" and y = 3^-x "graph 2".
When graph 1 had positive ∞ for its x value, its y value was reaching towards positive ∞. When its x was reaching for negative ∞, its y was going for 0.
For graph 2, however, when its x was reaching for positive ∞, its x was reaching for 0. When its x was reaching for negative ∞, its y was going for positive ∞.
Here's an image of the graphs:
