Asked by Marian
The function f (x) = x^4 has an axis of symmetry the vertical axis y.
True or False?
True or False?
Answers
Answered by
Jai
True.
One way to check is of course to plot the given function. You'll see it has an axis of symmetry at y-axis.
Another way is to replace x with -x. If the resulting function is the same as the original, it has an axis of symmetry at the y-axis. Like, in the given function,
f(x) = x^4
f(-x) = (-x)^4
f(-x) = x^4 = f(x)
Hope this helps~ :)
One way to check is of course to plot the given function. You'll see it has an axis of symmetry at y-axis.
Another way is to replace x with -x. If the resulting function is the same as the original, it has an axis of symmetry at the y-axis. Like, in the given function,
f(x) = x^4
f(-x) = (-x)^4
f(-x) = x^4 = f(x)
Hope this helps~ :)
Answered by
Marian
YES!!!! thank you very much!!
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