Khushal Sharma

Let $f(x) = |x|$ and $g(x) = x^2$. Find all values of $x$ for which $f(x) > g(x)$.

How many solutions are there to the equation \[ |x| = -\dfrac 1 2 x + 4?\]

The graph of $y = f(x)$ is symmetric across the line $x = 5$. The graph also passes through the point $(8,-7).$ Find another point that must lie on the graph of $y = f(x).$

The graph of $y=f(x)$ is shown in red below. Find $f(-2)$. [asy] size(150); real ticklength=0.1cm; real axisarrowsize=0.14cm; pen axispen=black+1.3bp; real vectorarrowsize=0.2cm; real tickdown=-0.5; real tickdownlength=-0.15inch; real tickdownbase=0.3; re...