Question

Where is the curve f(x)=3x−7 increasing or decreasing according to a calculator?

A. Increasing for x<7/3​ and decreasing for x>7/3
B. Increasing for x>7/3​ and decreasing for x<7/3​
C. Increasing for all values of x
D. Decreasing for all values of x

Answer 1

The function f(x)=3x-7 is increasing for x>7/3 and decreasing for x<7/3.

Step-by-step explanation:

The function f(x)=3x-7 is increasing for x>7/3 and decreasing for x<7/3. This can be determined by looking at the slope of the function. The slope of f(x) is positive when x > 7/3, which means the function is increasing in that interval. Conversely, the slope of f(x) is negative when x < 7/3, indicating that the function is decreasing in that interval.