DIRECTIONS: SHOW ALL WORK OR OTHERWISE DEMONSTRATE ALL ANSWERS THROUGH YOUR WORK.
Cool Curve 1:
Consider the function g(x) =
Step 1: Find all horizontal tangent lines (if any ) of g(x). If there are no horizontal tangent lines, explain why there are no horizontal tangent lines.
Step 2: Find all vertical tangent lines (if any ) of g(x). If there are no vertical tangent lines, explain why there are no vertical tangent lines.
Step 3: Find the equation of the tangent line to the curve at x = 2
Step 4: Graph, using Winplot (or something equivalent) the function, any horizontal and vertical tangent lines, and the tangent line at x = 2. Label that as Graph 1 and attach to this document.
Cool Curve 2:
Consider the curve .
Step 1: Find all horizontal tangent lines (if any ) of f(x). If there are no horizontal tangent lines, explain why there are no horizontal tangent lines.
Step 2: Find all vertical tangent lines (if any ) of f(x). If there are no vertical tangent lines, explain why there are no vertical tangent lines.
Step 3: Find the equation of the tangent line to the curve at x = -1
Step 4: Graph, using Winplot (or something equivalent) the function, any horizontal and vertical tangent lines, and the tangent line at x = -1. Label that as Graph 2 and attach to this document.