If F is a decreasing function what can you say about F(-2) compared to F(2)?
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If F is a decreasing function, it means that as the input values increase, the corresponding output values decrease. In other words, if x1 < x2, then F(x1) > F(x2).
Now, let's analyze what we can say about F(-2) compared to F(2). Since -2 < 2, according to the definition of a decreasing function, we can conclude that F(-2) > F(2).
To understand this concept, let's visualize it on a graph. Consider a decreasing function F represented by a curve on a coordinate plane. If you compare the points (-2, F(-2)) and (2, F(2)), you will see that the value of F(-2) is located above the value of F(2) on the y-axis. This indicates that F(-2) is greater than F(2).
Therefore, if F is a decreasing function, we can say that F(-2) > F(2).