Question

Which of the following best describes the graph of f(x) = x2 - 7x + 10?

Minimum at (1.5, -12.25) with intercepts at (5, 0) and (-2, 0)

Minimum at (-1.5, -12.25) with intercepts at (-5, 0) and (2, 0)

Minimum at (-3.5, -2.25) with intercepts at (-5, 0) and (-2, 0)

Minimum at (3.5, -2.25) with intercepts at (5, 0) and (2, 0)

Answer 1

Please EXPLAIN DONT JUST GIVE ME THE ANSWER!!!

Answer 2

@Loser66 @thomaster @Destinymasha

Answer 3

@e.mccormick

Answer 4

@texaschic101

Answer 5

Well, are you looking at it with calculus or algebra? You could also use a graph for a quick idea.

Answer 6

With algebra you do a few steps: First, find the zeros. Test points between them to see if the answers are above or below the x axis. Estimate the max and min points.

With calculus you start with the zeros still, but also want the derivative. Where the derivative is 0 or undefined are other critical points. If a derivative is 0, it is a local min/max and perhaps an absolute one. Undefined points are changes in inflection of a polynomial. So where the slope changed from increasing to decreasing and things like that.

With a graph, you eyeball and estimate.