Investigation 5: Exploring Exponential Functions
Test yourself
-
Based on the graph the value of a
would
be 2, since it is the y-intercept of the graph. Since it is a decay curve
(decreases from left to right), then b < 0 . The asymptote is the
x-axis or the
line with equation y = 0 .
-
The y-intercept is always the value of a in the
equation and the function is a
growth function if b > 0 and a decay function is b
< 0. Thus:
(a) y = 0.5 (2.5)x y-intercept
is 0.5 and it is a growth function
(b) y = 2.5 (0.5)x
y-intercept is 2.5 and it is a decay function.
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