Question 1181878
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Answer: f(x) and g(x)


Both of these functions are increasing (due to the base being larger than 1). Both of these functions have the y intercept (0,1) because plugging x = 0 leads to y = 1. 


h(x) can be written as h(x) = (1/4)^x and we can see that this is a decaying function because the base 1/4 is less than 1. 


All three functions have the same horizontal asymptote: which is y = 0. The curves approach this "electric fence" but don't actually get there. 


All three functions have the same y intercept, as mentioned before. 


Graph:
{{{ graph( 500, 500, -5, 5, -10, 10, 7^x, 4^x,4^(-x)) }}}
f(x) in red
g(x) in green
h(x) in blue


As the red and green curves indicate, they are increasing functions. As we move from left to right, we're going uphill. As x increases, so does y.
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