Question

What is the function given?

1) f(x) = x³ - 7x²
2) f(x) = x³ + 7x²
3) f(x) = x³ - 7x
4) f(x) = x³ + 7x

Answer 1

The correct option that corresponds to the given conditions is f(x) = x³ - 7x.

Step-by-step explanation:

The correct option that corresponds to the function f(x) described in the question is: f(x) = x³ - 7x.

To determine this, we can analyze the given information:

• At x = 3, the function has a positive value, which means f(3) > 0.
• With a positive slope that is decreasing in magnitude with increasing x, we can infer that the slope of the function f(x) is negative.

The option that satisfies these conditions is f(x) = x³ - 7x, as it is the only equation that has a positive value at x = 3 and a negative slope.