Question

Consider f(x)=40[x−1.25]. Complete the sentence: The function is decreasing over the interval:

a. (−[infinity],1.25)
b. (1.25,[infinity])
c. (1.25, −[infinity])
d. (−[infinity],1.25]

Answer 1

The function f(x) = 40[x-1.25] is a linear function represented by a straight line with a negative slope. The function is decreasing over the interval (1.25, ∞).

Step-by-step explanation:

The function f(x) = 40[x-1.25] is a linear function represented by a straight line. In this case, the coefficient of x is -40, which means that the line has a negative slope. This indicates that the function is decreasing over the interval (1.25, ∞), so the correct answer is option b. (1.25, ∞).