Question

Let f(x) = { 10 if x < -4 -x + 6 if -4 <= x < 1 9 if x = 1 6 if x > 1. Sketch the graph of this function and find the following limits, if they exist. (If a limit does not exist, enter DNE.) 1. lim_{x->-4^-} f(x) = 2. lim_{x->-4^+} f(x) = 3. lim_{x->-4} f(x) = 4. lim_{x->1^-} f(x) = 5. lim_{x->1^+} f(x) = 6. lim_{x->1} f(x) =

          Let
f(x) = {
10 if x < -4
-x + 6 if -4 <= x < 1
9 if x = 1
6 if x > 1.
Sketch the graph of this function and find the following limits, if they exist.
(If a limit does not exist, enter DNE.)
1. lim_{x->-4^-} f(x) =
2. lim_{x->-4^+} f(x) =
3. lim_{x->-4} f(x) =
4. lim_{x->1^-} f(x) =
5. lim_{x->1^+} f(x) =
6. lim_{x->1} f(x) =

Let
f(x) =
10 if x < -4
-x + 6 if -4 <= x < 1
9 if x = 1
6 if x > 1.
Sketch the graph of this function and find the following limits, if they exist.
(If a limit does not exist, enter DNE.)
1. limx->-4^- f(x) =
2. limx->-4^+ f(x) =
3. limx->-4 f(x) =
4. limx->1^- f(x) =
5. limx->1^+ f(x) =
6. limx->1 f(x) =

Added by Andrea A.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Hoan Nguyen

09/18/2023

Step 1

First, let's rewrite the function in a more readable format: $$ f(x) = \begin{cases} 10 & \text{if } x < -4 \\ x + 6 & \text{if } -4 \leq x < 1 \\ 1 & \text{if } x \geq 1 \end{cases} $$ Now, let's find the limits: Show more…

Show all steps

Thanks for your feedback!

Let f(x) = { 10 if x < -4 -x + 6 if -4 <= x < 1 9 if x = 1 6 if x > 1. Sketch the graph of this function and find the following limits, if they exist. (If a limit does not exist, enter DNE.) 1. lim_{x->-4^-} f(x) 2. lim_{x->-4^+} f(x) 3. lim_{x->-4} f(x) 4. lim_{x->1^-} f(x) 5. lim_{x->1^+} f(x) 6. lim_{x->1} f(x)