Graph the function. Be sure to label three points on the graph f(x)= ∛x
To graph the function f(x) = ∛x, we can first identify three points on the graph by choosing different values for x and computing the corresponding values of f(x).
1. When x = 0, f(x) = ∛0 = 0. So, the point (0, 0) is on the graph.
2. When x = 1, f(x) = ∛1 = 1. So, the point (1, 1) is on the graph.
3. When x = 8, f(x) = ∛8 = 2. So, the point (8, 2) is on the graph.
Now let's plot these three points on a graph and sketch the curve passing through them, which represents the function f(x) = ∛x.
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3 | *
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2 | *
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1 | *
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0 1 2 3 4 5 6 7 8
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The graph shows that the function f(x) = ∛x starts from the origin (0, 0) and increases slowly as x increases. The graph is continuously increasing as x gets larger, but the rate of increase appears to decrease.