Question

The graph of the function f is shown below (a) Write down the domain and the range of the function. Domain of f: Range of f: (b) Complete the following table of values (if there exist) f(-1) = f(1) = f(2) = f(4) = f(5) = f(6) = f(7) = f(8) = (c) Complete the following table of limits (if there exist) lim_{x->1^-} f(x) = lim_{x->1^+} f(x) = lim_{x->1} f(x) = lim_{x->4^-} f(x) = lim_{x->4^+} f(x) = lim_{x->4} f(x) = lim_{x->6^-} f(x) = lim_{x->6^+} f(x) = lim_{x->6} f(x) =

          The graph of the function f is shown below
(a) Write down the domain and the range of the function.
Domain of f: Range of f:
(b) Complete the following table of values (if there exist)
f(-1) = f(1) = f(2) = f(4) =
f(5) = f(6) = f(7) = f(8) =
(c) Complete the following table of limits (if there exist)
lim_{x->1^-} f(x) = lim_{x->1^+} f(x) = lim_{x->1} f(x) =
lim_{x->4^-} f(x) = lim_{x->4^+} f(x) = lim_{x->4} f(x) =
lim_{x->6^-} f(x) = lim_{x->6^+} f(x) = lim_{x->6} f(x) =

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The graph of the function f is shown below
(a) Write down the domain and the range of the function.
Domain of f: Range of f:
(b) Complete the following table of values (if there exist)
f(-1) = f(1) = f(2) = f(4) =
f(5) = f(6) = f(7) = f(8) =
(c) Complete the following table of limits (if there exist)
limx->1^- f(x) = limx->1^+ f(x) = limx->1 f(x) =
limx->4^- f(x) = limx->4^+ f(x) = limx->4 f(x) =
limx->6^- f(x) = limx->6^+ f(x) = limx->6 f(x) =

Added by Demur A.

Calculus

James Stewart 4th Edition

Chapter 1

Instant Answer

Solved by Expert Melissa Munoz

01/08/2025

Step 1

- The domain is the set of all x-values for which the function is defined. From the graph, the function is defined from \( x = -1 \) to \( x = 8 \), inclusive. However, there are open circles at \( x = 4 \) and \( x = 8 \), indicating the function is not defined Show more…

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Transcript

00:04 And this problem we are given a graph of a function f.

00:08 With this graph, we want to answer the following questions.

00:10 First, we want to find domain and the range of our function.

00:13 So the domain corresponds to values of x for which our function is defined on.

00:17 So here we see that our functions define for any values of x, as long as x ranges between 1, excuse me, minus 1, and 8 exclusively.

00:28 Why is 8 included? because we have an open circle right here.

00:33 About the range now.

00:33 So the range corresponds to output y values that our function can have, depending on the input of x.

00:46 So we see that at the lowest, f is equal to 1.

00:54 At the highest, x is equal to 4.

01:06 So our range of f corresponds to any values of f within 1 and 4.

01:15 Now i want to find f of minus 1, so let's look at x equal to my.

01:18 Minus 1, we see that f is equal to 2.

01:21 1 x is equal to 1, f is equal to 1.

01:24 1 x is equal to 2, f is equal to 2, 1 x is equal to 4, f is equal to 2.

01:35 1 2, 1 x is equal to 5, we see that f is equal to 3.

01:39 1 x is equal to 6, f is equal to 2 again.

01:43 When f is equal to 7, x is equal to, excuse me the opposite.

01:46 When x is equal to 7, f is equal to 2.

01:52 But when f is equal to 8, f is no longer defined.

02:04 Now i want to divide the following limits...

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