Math questions

4. For the function defined by:

Part I: Evaluate .

A. Identify the function that will be used when x = 0. (1 point)

B. Find the value of this function when x = 0. (1 point)

Math questions 1

Part II: Graph .

A. Graph the first function completely. (1 point)

B. On the same graph you used to answer part (A), graph the second function completely. (1 point)

C. Identify the value of x at which the functions change. Remove the parts of each line that are not included in domain of the corresponding function. (2 points)

D. Place open and closed circles appropriately on the ends of each line to complete the function. (2 points)

5. Solve the following system of equations algebraically.

Part I: Multiply one of the equations by a constant in order to solve by elimination. Show the new system of equations below. (1 point)

Part II: Combine the two equations to eliminate one of the variables. Show the result of this combination below. (1 point)

Part III: Solve for the variable. What is this value? (2 points)

Part IV: Substitute this value back into an equation to solve for the other variable. Write the solution to this system below. (2 points)