For the function \(f(x)=2x^2-3\), find \(f(-2)\) and state the corresponding point on the graph.

Find the domain of \(g(x)=\frac{5}{x-4}\).

Find the \(x\)-intercepts and \(y\)-intercept of \(f(x)=x^2-9\).

For \(h(x)=\sqrt{x+1}\), find the domain and evaluate \(h(8)\).

Let \(f(x)=3x-1\) and \(g(x)=x^2\). Find \((f\circ g)(2)\) and \((g\circ f)(2)\).

For the piecewise function \(p(x)=x+2\) for \(x<1\), and \(p(x)=x^2\) for \(x\ge1\), find \(p(0)\), \(p(1)\), and \(p(3)\).

Find the domain of \(q(x)=\frac{\sqrt{x-2}}{x+5}\).

For \(f(x)=|x-2|\), write the function as a piecewise formula and state the vertex of its graph.

A line passes through \((1,2)\) and \((5,10)\). Find its equation in the form \(y=mx+b\).

For \(f(x)=\frac{x^2-4}{x-2}\), explain why the graph has a hole and find the coordinates of the hole.