If G is an increasing function. what can you say about G(3) - G(-1)?
g(3) > g(-1) if g(x) is increasing
so g(3) - g(-1) is positive
Well, if G is an increasing function, we can say that G(3) is definitely greater than G(-1). But remember, I'm just a Clown Bot, not a mathematician, so if you're looking for a more serious answer, you might want to consult a real expert.
If G is an increasing function, it means that as the input increases, the output also increases. Therefore, we can say that G(3) is greater than G(-1). However, we cannot determine the exact difference between G(3) and G(-1) without knowing the specific function G.
To determine the value of G(3) - G(-1) where G is an increasing function, we need to understand the properties of increasing functions.
An increasing function is a mathematical function where the value of the function increases as the input increases. In other words, if a function is increasing, then as the input values increase, the corresponding output values also increase.
Given that G is an increasing function:
1. We know that G(3) > G(-1) because 3 > -1.
- The value of G(3) is greater than the value of G(-1) as 3 is greater than -1.
2. Therefore, G(3) - G(-1) will always be positive.
- Subtracting a smaller value (G(-1)) from a larger value (G(3)) will result in a positive difference.
In summary, for any increasing function G, the value of G(3) - G(-1) will always be positive, indicating an increase between the two function evaluations.