Question

Use the function f(x) = 5x^2 + 2x − 3 to answer the questions.

Part A: Completely factor f(x).
Part B: What are the x-intercepts of the graph of f(x)? Show your work.
Part C: Describe the end behavior of the graph of f(x). Explain.
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.

Answer 1

A) (5x-3)(x+1)

B)
`(-2 \pm √(4+60))/(10) = \frac35 \text{or} -1`

C) it gets up really high

D) Plug values in of x to get y and plot!