Calculus I :: Lab 04
Directions
Go to https://student.desmos.com/ and enter the code given in class. Your work saves automatically. Complete the following (there are corresponding slides for each problem):
Problem 0
Enter in your name, I need to know who to give the grades to.
Problem 1
Let \(f(x) = 3x^2-6x+2\), and \(a \in [-1,3]\).
- Graph the function \(f(x)\).
- Graph the point \((a,f(a))\).
- Graph the line tangent to the graph of \(f(x)\) at \(x=a\).
Problem 2
Repeat problem 1 for \(g(x) = x^5-4x^2+3\), and \(a \in [-3/2,3/2]\).
Problem 3
Let \(k(x) = -(x-3)^2+9\) and \(a \in [-1,7]\).
- Graph \(k(x)\).
- Graph the points \(P = (a,k(a))\) and \(Q = (a+h,k(a+h))\).
- Graph the secant line through the points \(P\) and \(Q\).
- Take \(h \to 0\) from both sides.