Let f be a function with domain R. We say that f is non-increasing if and only if, Vx, y ER, x < y = f(x) ≥ f(y) Which of the following is equivalent to function f being non- increasing? Select all that apply. Ovx, y, z€ Rya y OV, y e R, f(x) < f(y) ⇒ x ≥y f is decreasing on R

Algebra and Trigonometry (6th Edition)
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Let f be a function with domain R.
We say that f is non-increasing if and only if, Vx, y ER,
x < y = f(x) ≥ f(y)
Which of the following is equivalent to function f being non-
increasing? Select all that apply.
OV, y, z € Ryx <y<z⇒ f(x) ≥ f(y) ≥ f(z)
□ Vx, y = R, f(x) < f(y) ⇒
x > y
OV, y ER, f(x) < f(y) ⇒ x ≥y
f is decreasing on R
Transcribed Image Text:Let f be a function with domain R. We say that f is non-increasing if and only if, Vx, y ER, x < y = f(x) ≥ f(y) Which of the following is equivalent to function f being non- increasing? Select all that apply. OV, y, z € Ryx <y<z⇒ f(x) ≥ f(y) ≥ f(z) □ Vx, y = R, f(x) < f(y) ⇒ x > y OV, y ER, f(x) < f(y) ⇒ x ≥y f is decreasing on R
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