1) Determine if the function is even, odd, or neither: \(f\left( x \right)={{x}^{3}}-2x+3\).
2) Determine if the function is even, odd, or neither: \(h\left( x \right)=-2{{x}^{4}}+{{x}^{2}}+1\).
3) Determine if the function is even, odd, or neither: \(g(x)=-8{{x}^{3}}+x\).
4) Is the following function odd, even, or neither? Why?
2) Determine if the function is even, odd, or neither: \(h\left( x \right)=-2{{x}^{4}}+{{x}^{2}}+1\).
3) Determine if the function is even, odd, or neither: \(g(x)=-8{{x}^{3}}+x\).
4) Is the following function odd, even, or neither? Why?
5. Is the following function odd, even, or neither? Why?
6) Is the following function odd, even, or neither? Why?
7) If \( f(x) \) with domain \( 0 \leq x \leq L \) has 180 degree rotational symmetry about the point \( (\frac{L}{2}, 0) \), then what function must be odd?
8) If \( g(x) \) with domain \( 0 \leq x \leq L \) has line symmetry about \( x= \frac{L}{2} \), and \( g(\frac{L}{2} -a) =b \) where \( a \in [0, \frac{L}{2}] \), then for what other value of \(x \) does \( g(x) = b \)?
Solution Bank