Question

Use the function f(x) = 2x²-3x - 5 to answer the questions.

Part A: Completely factor f(x). (2 points)
Part B: What are the x-intercepts of the graph of f(x)? Show your work. (2 points)
Part C: Describe the end behavior of the graph of f(x). Explain. (2 points)
Part D: What are the steps you would use to graph f(x)? Justify that you can use the answers obtained in Part B and Part C to draw the
graph. (4 points)

Answer 1

Explanation:

a) (x-1)(2x-5)

b) x=-1 x=-2.5 x+1=0 x=-1 2x-5=0 2x=5 x=2.5

c) The degree is even so the ends of the graph will point in the same direction, the leading coefficient is positive so both ends will point up

d) First plot the x intercepts, then plug f(0) into the equation to get the y intercept. Plot the y intercept and then connect the points

e)