Solved

Consider a Continuous Function with the Following Properties $f(0)=3$ $\left|f^{\prime}(x)\right|<0.5$ $f^{\prime \prime}(x)<0$

Question 1

Multiple Choice

Consider a continuous function with the following properties: $Consider a continuous function with the following properties: f(0) =3 \left|f^{\prime}(x) \right|<0.5 f^{\prime \prime}(x) <0 for x<0 f^{\prime}(1) =0 . Which of the following are inconsistent with these four conditions? A) \lim _{x \rightarrow-\infty} f(x) =0 B) f(1) = 5 C) f^{\prime \prime}(1) =0$ $f(0) =3$ $Consider a continuous function with the following properties: f(0) =3 \left|f^{\prime}(x) \right|<0.5 f^{\prime \prime}(x) <0 for x<0 f^{\prime}(1) =0 . Which of the following are inconsistent with these four conditions? A) \lim _{x \rightarrow-\infty} f(x) =0 B) f(1) = 5 C) f^{\prime \prime}(1) =0$ $\left|f^{\prime}(x) \right|<0.5$ $Consider a continuous function with the following properties: f(0) =3 \left|f^{\prime}(x) \right|<0.5 f^{\prime \prime}(x) <0 for x<0 f^{\prime}(1) =0 . Which of the following are inconsistent with these four conditions? A) \lim _{x \rightarrow-\infty} f(x) =0 B) f(1) = 5 C) f^{\prime \prime}(1) =0$ $f^{\prime \prime}(x) <0$ for $x<0$ $Consider a continuous function with the following properties: f(0) =3 \left|f^{\prime}(x) \right|<0.5 f^{\prime \prime}(x) <0 for x<0 f^{\prime}(1) =0 . Which of the following are inconsistent with these four conditions? A) \lim _{x \rightarrow-\infty} f(x) =0 B) f(1) = 5 C) f^{\prime \prime}(1) =0$ $f^{\prime}(1) =0$ . Which of the following are inconsistent with these four conditions?