Question

Which inequality statement best represents the graph?

f(x) ≤ 2x2 + 4x

f(x) ≥ 2x2 + 4x

f(x) ≤ –2x2 + 4x

f(x) ≥ –2x2 + 4x

Answer 1

We are given the graph of a parabola with a shaded portion, representing the inequality.

We can see that the parabola opens up rather than down, so we can instantly eliminate options C and D.

When f(x) is greater than the expression, the area within it is shaded.

Answer choice B best represents this.

Answer 2

The answer to your question is the second option f(x) ≥ 2x² + 4x

Explanation:

In the graph, we observe that we need the up area of the parabola so the inequality must be ≥. From this observation, we discard the options one and three.

The last equation is a parabola that opens downwards not upwards as we notice in the graph so we discard the fourth option.