The graph of f(x) = 1000(∛x) + 1000 is added as an attachment
The equation of the function is given as:
f(x) = 1000(∛x) + 1000
Next, we set some values for x to determine the values of f(x).
Set x = -64, -27, -8, 0, 1, 8, 27 and 64.
So, we have:
f(-64) = 1000(∛-64) + 1000 = -3000
f(-27) = 1000(∛-27) + 1000 = -2000
f(-8) = 1000(∛-8) + 1000 = -1000
f(0) = 1000(∛0) + 1000 = 1000
f(8) = 1000(∛8) + 1000 = 3000
f(27) = 1000(∛27) + 1000 = 4000
f(64) = 1000(∛64) + 1000 = 5000
So, we have the following ordered pairs
(-64, -3000), (-27, -2000), (-8,-1000), (0,1000), (8,3000), (27, 4000) and (64, 5000)
Next, we plot the above ordered pairs and connect the points
See attachment for the graph of f(x) = 1000(∛x) + 1000
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