+9466 f(x) = x6
Notice that a negative number raised to an even power is the same as the positive version of the number raised to the power. For example...
f(1) = (1)6 = 16 = 1
f(-1) = (-1)6 = 16 = 1
and
f(2) = (2)6 = 26 = 64
f(-2) = (-2)6 = 26 = 64
This is true for all numbers and their negatives. This makes the graph symmetrical about the y-axis.
We can rule out the second and fourth option because on those graphs, for example, f(1) ≠ f(-1)
We just found that f(2) = 64 , so the graph of f(x) should pass through the point (2, 64) .
The first graph passes through the point (2, 4) , so it can't be right.
The correct graph must be the third one.
+9466 f(x) = x6
Notice that a negative number raised to an even power is the same as the positive version of the number raised to the power. For example...
f(1) = (1)6 = 16 = 1
f(-1) = (-1)6 = 16 = 1
and
f(2) = (2)6 = 26 = 64
f(-2) = (-2)6 = 26 = 64
This is true for all numbers and their negatives. This makes the graph symmetrical about the y-axis.
We can rule out the second and fourth option because on those graphs, for example, f(1) ≠ f(-1)
We just found that f(2) = 64 , so the graph of f(x) should pass through the point (2, 64) .
The first graph passes through the point (2, 4) , so it can't be right.
The correct graph must be the third one.
