Answer: False, this is not the graph of f(x) = 3^x
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Explanation:
Plug in x = 0 to get
f(x) = 3^x
f(0) = 3^0
f(0) = 1
That means (0,1) is on the graph. So far so good.
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But let's try x = 1
f(x) = 3^x
f(1) = 3^1
f(1) = 3
Meaning (1,3) should be on the graph of y = 3^x. Instead, the graph shows (1,4) is on the red curve. We don't have a match.
The red curve shows the equation y = 4^x.
