please help ..
Use the function f(x) = 2x2 − x − 10 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)

I have part a and b

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AFOKE88 AFOKE88 · Answer 1 · 2022-07-13T21:11:00+02:00

The end behavior is that as the value of x increases the value of function increases.

A) We want to completely factor; f(x) = 2x² - x - 10

⇒ f(x) = 2x² - 5x + 4x - 10

⇒ 2x(x + 2) - 5(x + 2)

⇒ (2x - 5)(x + 2)

B) The x-intercept occurs at y = 0. Thus;

(2x - 5)(x + 2) = 0

x =5/2 and x = -2

C) f(x) = 2x² - x - 10

Thus, the end behavior is that as the value of x increases the value of function increases.

D) The graph steps has been attached

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