Absolute Power
1. The problem gives two functions:
a) $f(x) = |x|$
c) $h(x) = x^{2h}$ (assuming $h$ is a constant exponent, or another variable)
2. For part a), $f(x) = |x|$ is the absolute value function. It outputs the distance of $x$ from zero on the number line, so it is always non-negative.
3. For part c), $h(x) = x^{2h}$ means $x$ raised to the power of $2h$. Without more context about $h$, this describes an exponential function with exponent $2h$.
4. Since no specific operations or evaluations are requested, these are the function definitions as given.
Final answers:
- $f(x) = |x|$
- $h(x) = x^{2h}$