Question

Which inequality statement best represents the graph below?

Please help, I can’t find a tutorial online anywhere, if along with the answer you could show how you got it I would greatly appreciate it. Thank you.

Answer 1

Graph A is correct.  The ≥ sign is correct because the gray area is above the red.  x^2 has a positive coefficient which corresponds to the opening-up parabola.

Answer 2

Option A.

Explanation:

(1) The given graph is a parabola, opening upwards. So coefficient of highest degree term of the function will be positive. [ f(x) = +ax² + bx + c where a > 0 ]

(2) Since parabola has been graphed by a solid line so there will be the sign of "equality". [ f(x) = ax² + bx + c ]

(3) Colored part is below the parabola so there will be an inequality showing "less than notation." [ f(x) < ax² + bx + c ]

therefore, from the given options option (A) f(x) ≤ x² - x - 1 is the answer.