For every twice differentiable function f:R→[−2, 2]with (f(0))2+(fprime(0))2=85, which of the following statement(s) is (are) TRUE?There exist r, s∈Rwhere r<s, such that fis one-one on the open interval (r, s)(b) There exists x0∈(−4, 0)such that ∣∣fprime(x0)∣∣≤1(c) (lim)x→∞f(x)=1(d) There exists α∈(−4, 4)such that f(α)+f(α)=0and fprime(α)=0

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For every twice differentiable function {f}:{R}{[-{2}, {2}]}wi

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For every twice differentiable function $f : R \to [- 2, 2]$ with $(f (0))^{2} + (f^{p r i m e} (0))^{2} = 85$ , which of the following statement(s) is (are) TRUE?There exist $r, s \in R$ where $r < s$ , such that $f$ is one-one on the open interval $(r, s)$ (b) There exists $x_{0} \in (- 4, 0)$ such that $∣ ∣ f^{p r i m e} (x_{0}) ∣ ∣ \leq 1$ (c) $(lim)_{x \to \infty} f (x) = 1$ (d) There exists $α \in (- 4, 4)$ such that $f (α) + f (α) = 0$ and $f^{p r i m e} (α) \neq = 0$

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For every twice differentiable function

f : R \to [- 2, 2]

with

(f (0))^{2} + (f^{p r i m e} (0))^{2} = 85

, which of the following statement(s) is (are) TRUE?There exist

r, s \in R

where

r < s

, such that

f

is one-one on the open interval

(r, s)

(b) There exists

x_{0} \in (- 4, 0)

such that

∣ ∣ f^{p r i m e} (x_{0}) ∣ ∣ \leq 1

(c)

(lim)_{x \to \infty} f (x) = 1

(d) There exists

α \in (- 4, 4)

such that

f (α) + f (α) = 0

and

f^{p r i m e} (α) \neq = 0

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Question Text	For every twice differentiable function $f : R \to [- 2, 2]$ with $(f (0))^{2} + (f^{p r i m e} (0))^{2} = 85$ , which of the following statement(s) is (are) TRUE?There exist $r, s \in R$ where $r < s$ , such that $f$ is one-one on the open interval $(r, s)$ (b) There exists $x_{0} \in (- 4, 0)$ such that $∣ ∣ f^{p r i m e} (x_{0}) ∣ ∣ \leq 1$ (c) $(lim)_{x \to \infty} f (x) = 1$ (d) There exists $α \in (- 4, 4)$ such that $f (α) + f (α) = 0$ and $f^{p r i m e} (α) \neq = 0$
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