Instruction: Course Name: Calculus with Analytical Geometry-1 Course Code: MATH 132 Do not use Artificial Intelligent Apps 1. Solution must be hand-written 2. Step by step clear explanation Please solve the problem and sketch the graph of f(x) with paper and pen or pencil 11. Given the function f(x) = (x-1)² x²-9 find the asymptotes, determine the interval of increasing and decreasing and find the local minima and local maxima, sketch the graph of f(x).

Graph the quadratic function f(x)=2x24x3 first using the properties as we did in the last section and then graph it using transformations. Which method do you prefer? Why

During a nine-hour snowstorm, it snows at a rate of 1 inch per hour for the first 2 hours, at a rate of 2 inches per hour for the next 6 hours, and at a rate of 0.5 inch per hour for the final hour. Write and graph a piecewise-defined function that gives the depth of the snow during the snowstorm. How many inches of snow accumulated from the storm?

Explain how the Intermediate Value Theorem canassist us in finding a zero of a function.

Graph: f(x)=3x1

Use the Vertical Line Test to determine whether the graph represents y as a function of x.

Graph: f(x)=x .