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When you reflect over the x-axis, (x, y) becomes...
(x, -y)
When you reflect over the y-axis, (x, y) becomes...
(-x, y)
When you reflect over the origin, (x, y) becomes...
(-x, -y)
When you reflect over the line y = x, (x, y) becomes...
(y, x)
Is a cosine function even or odd?
Even
Is a sine function even or odd?
Odd
Is an identity function (y = x) even or odd?
Odd
How do you confirm if a function is an inverse?
If (f ∘ f-1)(x) = x, these two are inverses.
When a function is even, it’s always symmetric about the…
y-axis
When a function is odd, it’s always symmetric about the…
origin
How do you determine if a function is even?
If f(x) = f(-x)
How do you determine if a function is odd?
If f(-x) = -f(x)
What line is any quadratic function ax2 + bx + c symmetric about?
The vertical line x = -b/2a
How do you determine if f(x) and g(x) are inverses of each other?
If f(g(x)) = x and g(f(x)) = x.
