Answer: (below)
Step-by-step explanation:
The functions shown are exponential functions, which have the form f(x) = a*(b)^x. "a" represents the intial value, while "b" represents the growth factor.
To determine whether a function is growing or decaying, you look at the growth factor. If the growth factor is greater than 1, the function is growing, since each value is getting larger and larger. Meanwhile, if the growth factor is between 0 and 1, the function is decaying, since each value is getting smaller and smaller.
Now, back to this question, let's look at our functions. In the function on the left, the growth factor is 0.87, which is between 0 and 1, so this function is decaying. For the function on the right, the growth factor is 1.25, which is greater than 1, so this function is decaying. Next, let's look at our graphs. In the left graph, the function is growing, so it matches with the function on the right. Meanwhile, in the right graph, the function is decaying, so it matches with the function on the left.
Hope this helps!
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