Question

I will fan and medal anyone who answers.

Which statement describes the graph of f(x) = –4x3 – 28x2 – 32x + 64?
A. The graph crosses the x axis at x = 4 and touches the x axis at x = –1.
B. The graph touches the x axis at x = 4 and crosses the x axis at x = –1.
C. The graph crosses the x axis at x = –4 and touches the x axis at x = 1.
D. The graph touches the x axis at x = –4 and crosses the x axis at x = 1.

Answer 1

Plug in the values 4, -4, 1, and -1 for \(x\) and see what you get.

Answer 2

I would start in this case by plugging in \(x=1\), so you can narrow down the answer set most easily...

Answer 3

Thank you, whpalmer4.

Answer 4

Also note that you can make your life a bit easier by factoring out a 4 from all of the coefficients. This doesn't change the behavior of the function, just the vertical scale.

Answer 5

actually, factor out -4, not 4

Answer 6

I got D.

Answer 7

That would be correct.

Answer 8

Thank you! :)

Answer 9

You're welcome.