1. The problem is to understand and analyze the function $y = |x| + \frac{1}{|skn|}$. 2. Here, $|x|$ denotes the absolute value of $x$, which means it is always non-negative regardless of whether $x$ is positive or negative. 3. The term $\frac{1}{|skn|}$ involves the absolute value of $skn$, which is presumably a variable or expression. This term is the reciprocal of the absolute value of $skn$, so it is defined only when $skn \neq 0$. 4. The function combines these two parts by addition, so $y$ is the sum of the absolute value of $x$ and the reciprocal of the absolute value of $skn$. 5. Important rules: - Absolute value $|a|$ is always $\geq 0$. - Division by zero is undefined, so $skn \neq 0$. 6. The function can be rewritten as $$y = |x| + \frac{1}{|skn|}.$$ 7. Without specific values or further context for $skn$, this is the simplified form. 8. The function is defined for all $x$ and $skn$ such that $skn \neq 0$. 9. The graph of $y$ will be a vertical shift of the absolute value function $|x|$ by the constant $\frac{1}{|skn|}$.