Question

8. Sketch the graph of a function $f(x)$ on the interval $[0, \infty)$ that satisfies all of the following conditions. \begin{itemize} \item $f(x)$ is continuous on $[0, \infty)$ except at $x = 2$ and $x = 4$ \item $f(0) = 3$, \item $\lim_{x \to 2^{-}} f(x) = 0$ \item $\lim_{x \to 2^{+}} f(x) = \infty$ \item $f$ is continuous from the left at 2 \item $\lim_{x \to 4^{-}} f(x) = 1$, $f(4) = 4$ \item $\lim_{x \to \infty} f(x) = -1$ \end{itemize}

          8. Sketch the graph of a function $f(x)$ on the interval $[0, \infty)$ that satisfies all of the following conditions.
\begin{itemize}
    \item $f(x)$ is continuous on $[0, \infty)$ except at $x = 2$ and $x = 4$
    \item $f(0) = 3$,
    \item $\lim_{x \to 2^{-}} f(x) = 0$
    \item $\lim_{x \to 2^{+}} f(x) = \infty$
    \item $f$ is continuous from the left at 2
    \item $\lim_{x \to 4^{-}} f(x) = 1$, $f(4) = 4$
    \item $\lim_{x \to \infty} f(x) = -1$
\end{itemize}

8. Sketch the graph of a function f(x) on the interval [0, ∞) that satisfies all of the following conditions.

* f(x) is continuous on [0, ∞) except at x = 2 and x = 4

* f(0) = 3,

* limx → 2^- f(x) = 0

* limx → 2^+ f(x) = ∞

* f is continuous from the left at 2

* limx → 4^- f(x) = 1, f(4) = 4

* limx →∞ f(x) = -1

Added by Pamela A.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Paula Salazar

07/02/2019

Step 1

Step 1: First, we need to find a function that satisfies the given conditions. Show more…

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Can't figure out how to make it continuous at 2 from the left. Sketch the graph of a function from the interval [0, cothat satisfies all of the following conditions. f is continuous on [0, except at x = 2 and x = 4. f(0) = 3, lim f(x) = 0, lim f = 0. f is continuous from the left at 2, lim f(x) = 1, f(4) = 4, lim f = -1.