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Consider the exponential functions f, g, and h, defined as shown.

function f function g function h
f(x) = -2(3)x + 6
x g(x)
-1 1
0 4
1 16
2 64
3 256


Determine which function or functions have each key feature.

only g(x)
g(x) and h(x)
all three functions
f(x) and h(x)
only f(x)
f(x) and g(x)
only h(x)
y-intercept at (0,4)
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x-intercept at (1,0)
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approaches an integer as x approaches -∞
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increasing on all intervals of x
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