Question

4) Consider the function $f(x) = \begin{cases} x+1 & x \le -2 \\ x^2 - 5 & -2 < x < 2 \\ 1-x & x \ge 2 \end{cases}$ a) Sketch a graph of the function $f(x)$ on the graph below, or reproduce the graph on your own paper for making the sketch. b) Is $f(x)$ is discontinuous at $x = \pm 2$? Justify your answer(s).

          4) Consider the function $f(x) = \begin{cases} x+1 & x \le -2 \\ x^2 - 5 & -2 < x < 2 \\ 1-x & x \ge 2 \end{cases}$
a) Sketch a graph of the function $f(x)$ on the graph below, or reproduce the graph on your own paper for making the sketch.
b) Is $f(x)$ is discontinuous at $x = \pm 2$? Justify your answer(s).

4) Consider the function f(x) = x+1 x ≤ -2
x^2 - 5 -2 < x < 2
1-x x ≥ 2
a) Sketch a graph of the function f(x) on the graph below, or reproduce the graph on your own paper for making the sketch.
b) Is f(x) is discontinuous at x = ± 2? Justify your answer(s).

Added by Sara B.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Adi S

12/30/2023

Step 1

Step 1: To sketch the graph of the function f(x), we need to consider the two different expressions for f(x) based on the given conditions: Show more…

Show all steps

Thanks for your feedback!

Consider the function f(x)={(x+1,x<=-2),(x^(2)-5,-2=2):} a) Sketch a graph of the function f(x) on the graph below, or reproduce the graph on your own paper for making the sketch. b) Is f(x) is discontinuous at x=+-2 ? Justify your answer(s). x+1 Consider thefunction f(x)=} x2-5 1-x x2 4) x2 a) Sketch a graph of the function f (x) on the graph below, or reproduce the graph on your own paper for making the sketch. b) Is f () is discontinuous at x =2? Justify your answer(s)