The function f is defined by f(x)=-39^x The function g is a decreasing linear function. In the xy -plane, the graphs of y=f(x) and y=g(x) intersect at two points, (h,j) and (k,m) where jgt m When g(x)lt f(x) which of the following must also be true:

Question

The function f is defined by f(x)=-39^x The function g is a decreasing linear function. In the xy -plane, the graphs of y=f(x) and y=g(x) intersect at two points, (h,j) and (k,m) where jgt m When g(x)lt f(x) which of the following must also be true:

Answer 1

The correct answer is **h m*, this means the point (h, j) is to the left of the point (k, m) on the x-axis.* **Inequality:** The inequality *g(x) < f(x)* means that the graph of *g(x)* is below the graph of *f(x)*. This occurs between the two intersection points.* **Conclusion:** Since the intersection points are ordered from left to right as (h, j) and (k, m), the region where *g(x) < f(x)* lies between these points. Therefore, **h < k**.

Câu hỏi

The function f is defined by f(x)=-39^x The function g is a decreasing linear function. In the xy -plane, the graphs of y=f(x) and y=g(x) intersect at two points, (h,j) and (k,m) where jgt m When g(x)lt f(x) which of the following must also be true:

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