11. For each function, sketch the graph of the function. Determine the indicated limit if it exists. x + 2, if x < -1 a. f(x) = 1-r + 2, if x 2 -1' lim f(x) -x + 4, if x < 2. limf(x) b. f(x) = 1-2 + 6, if x > 2’ *→2 (4x, if x 2, lim/(x) c. f(x) = if x < d. f(x) = {2 - 1, if x < -0.5 , lim f(x) 0.25, if x 2 -0,5 'x-0.5 12. Sketch the graph of any function that satisfies the given conditions. a. f(1) = 1, lim f(x) = 3, lim f(x) = 2 b. f(2) = 1, lim f(x) = 0 c. f(x) = 1, if x < 1 and lim f(x) = 2 d. f(3) = 0, lim f(x) = 0 13. Let f(x) = mx + b, where m and b are constants. If lim f(x) = -2 and lim f(x) = 4, find m and b.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
icon
Related questions
Topic Video
Question
100%

Please assist me in figuring out these practice questions as well! Thank you.

11. For each function, sketch the graph of the function. Determine the indicated
limit if it exists.
S x + 2, if x <-1_ lim f(x)
(-x + 2, if x -l'*→-í
-x + 4, if x < 2 . limf(x)
a. f(x) =
b. f(x)
-2x + 6, if x > 2' →2"
Sti, if x!.
if x <}
c. f(x) =
; lim f(x)
1, if x < -0.5
lim f(x)
(x² - 0.25, if x > -0.5 'x→-0.5
d. f(x) :
12. Sketch the graph of any function that satisfies the given conditions.
a. f(1) = 1, lim f(x) = 3, lim f(x) = 2
%3D
b. f(2) = 1, lim f(x) = 0
c. f(x) = 1, if x < 1 and lim f(x) = 2
d. f(3) = 0, lim f(x) = 0
13. Let f(x) = mx + b, where m and b are constants. If lim f(x) = -2 and
lim f(x) = 4, find m and b.
X-1
Transcribed Image Text:11. For each function, sketch the graph of the function. Determine the indicated limit if it exists. S x + 2, if x <-1_ lim f(x) (-x + 2, if x -l'*→-í -x + 4, if x < 2 . limf(x) a. f(x) = b. f(x) -2x + 6, if x > 2' →2" Sti, if x!. if x <} c. f(x) = ; lim f(x) 1, if x < -0.5 lim f(x) (x² - 0.25, if x > -0.5 'x→-0.5 d. f(x) : 12. Sketch the graph of any function that satisfies the given conditions. a. f(1) = 1, lim f(x) = 3, lim f(x) = 2 %3D b. f(2) = 1, lim f(x) = 0 c. f(x) = 1, if x < 1 and lim f(x) = 2 d. f(3) = 0, lim f(x) = 0 13. Let f(x) = mx + b, where m and b are constants. If lim f(x) = -2 and lim f(x) = 4, find m and b. X-1
6. For the function f(x) in the graph below, determine the following:
lim f(x)
-2+
b. lim f(x)
с. lim f(x)
X2+
d. f(2)
а.
(2, 2)
2-
(-2, 0),
-2
-2-
(2, –1)
7. Use the graph to find the limit, if it exists.
b. limf(x)
a. lim f(x)
c. limf(x)
3
3-
2
2-
2
1-
1-
1-
2
4
4
1.
2.
3
4
8. Evaluate each limit.
x + 20
a. lim (9 – x²)
b. lim
c. lim Vx - 1
X-1
2x + 5
x-
9. Find lim (x? + 1), and illustrate your result with a graph indicating the
limiting value.
10. Evaluate each limit. If the limit does not exist, explain why.
1
e. lim
+3*x + 2
1
f. lim
x3X - 3
a. lim x*
с. lim (x? — 4)
b. lim (x² – 4)
1
d. lim
X1*x - 3
3.
Transcribed Image Text:6. For the function f(x) in the graph below, determine the following: lim f(x) -2+ b. lim f(x) с. lim f(x) X2+ d. f(2) а. (2, 2) 2- (-2, 0), -2 -2- (2, –1) 7. Use the graph to find the limit, if it exists. b. limf(x) a. lim f(x) c. limf(x) 3 3- 2 2- 2 1- 1- 1- 2 4 4 1. 2. 3 4 8. Evaluate each limit. x + 20 a. lim (9 – x²) b. lim c. lim Vx - 1 X-1 2x + 5 x- 9. Find lim (x? + 1), and illustrate your result with a graph indicating the limiting value. 10. Evaluate each limit. If the limit does not exist, explain why. 1 e. lim +3*x + 2 1 f. lim x3X - 3 a. lim x* с. lim (x? — 4) b. lim (x² – 4) 1 d. lim X1*x - 3 3.
Expert Solution
steps

Step by step

Solved in 4 steps with 3 images

Blurred answer
Knowledge Booster
Data Collection, Sampling Methods, and Bias
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning