Question

The function f(x) = mx + c where m, c are constants, is a strict decreasing function for all `"x" in "R"` , if ____________.

Options

• `"m" ge 0`

• `"m" > 0`

• `"m" < 0`

• `"m" = 0`

Answer 1

The function f(x) = mx + c where m, c are constants, is a strict decreasing function for all `"x" in "R"` , if `underline("m" < 0)`.

Explanation:

f(x) = mx + c is strict decreasing on R if f'(x) < 0 i.e. if m < 0.