1. Determine which relations are functions. For thosr which are, explain why. a) {(1, 2), (2, 3), (2, 4), (4, 5)} uieren un notation er b) in 11 1, dilu / 3 c) Determine e maxımu --L Doscikl. 7 Lesson 1.3 5. Graph each function and state its domain and range. a) f(x) = x² c) 个y c) f(x) = Vx 4- 1 b) f(x) d) f(x) = lxl 2- Lesson 1.4 -4 -2 -2- 4 6. Determine the domain and range of each relation in question 1. -4 7. A farmer has 600 m of fencing to enclose a rectangular area and divide it into three sections as d) shown. a) Write an equation to express the total area enclosed as a function of the width. b) Determine the domain and range of this area e) y = - (x – 3)² + 5 f) y = Vx – 4 function. c) Determine the dimensions that give the 2. Use numeric and graphical representations to show that x? + y = 4 is a function but x? + y? = 4 is maximum area. 8. Determine the domain and range for each. a) A parabola has a vertex at (-2, 5), and y = 5 is its maximum value. b) A parabola has a vertex at (3, 4), and y = 4 is its not a function. Lesson 1.2 3. a) Graph the function f(x) = -2(x + 1)² + 3. b) Evaluate f(-3). c) What does f(-3) represent on the graph of f? minimum value. c) A circle has a centre at (0, 0) and a radius of 7. d) A circle has a centre at (2, 5) and a radius of 4. d) Use the equation to determine i) f(1) – f(0), ii) 3f(2) – 5, and iii) f(2 – x).
1. Determine which relations are functions. For thosr which are, explain why. a) {(1, 2), (2, 3), (2, 4), (4, 5)} uieren un notation er b) in 11 1, dilu / 3 c) Determine e maxımu --L Doscikl. 7 Lesson 1.3 5. Graph each function and state its domain and range. a) f(x) = x² c) 个y c) f(x) = Vx 4- 1 b) f(x) d) f(x) = lxl 2- Lesson 1.4 -4 -2 -2- 4 6. Determine the domain and range of each relation in question 1. -4 7. A farmer has 600 m of fencing to enclose a rectangular area and divide it into three sections as d) shown. a) Write an equation to express the total area enclosed as a function of the width. b) Determine the domain and range of this area e) y = - (x – 3)² + 5 f) y = Vx – 4 function. c) Determine the dimensions that give the 2. Use numeric and graphical representations to show that x? + y = 4 is a function but x? + y? = 4 is maximum area. 8. Determine the domain and range for each. a) A parabola has a vertex at (-2, 5), and y = 5 is its maximum value. b) A parabola has a vertex at (3, 4), and y = 4 is its not a function. Lesson 1.2 3. a) Graph the function f(x) = -2(x + 1)² + 3. b) Evaluate f(-3). c) What does f(-3) represent on the graph of f? minimum value. c) A circle has a centre at (0, 0) and a radius of 7. d) A circle has a centre at (2, 5) and a radius of 4. d) Use the equation to determine i) f(1) – f(0), ii) 3f(2) – 5, and iii) f(2 – x).
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Transcribed Image Text:1. Determine which relations are functions. For thosr
which are, explain why.
a) {(1, 2), (2, 3), (2, 4), (4, 5)}
uieren
un notation
er
b)
in
11
1, dilu /
3
c)
Determine e maxımu
--L Doscikl.
7
Lesson 1.3
5. Graph each function and state its domain and range.
a) f(x) = x²
c)
个y
c) f(x) = Vx
4-
1
b) f(x)
d) f(x) = lxl
2-
Lesson 1.4
-4 -2
-2-
4
6. Determine the domain and range of each relation in
question 1.
-4
7. A farmer has 600 m of fencing to enclose a
rectangular area and divide it into three sections as
d)
shown.
a) Write an equation to express the total area
enclosed as a function of the width.
b) Determine the domain and range of this area
e) y = - (x – 3)² + 5
f) y = Vx – 4
function.
c) Determine the dimensions that give the
2. Use numeric and graphical representations to show
that x? + y = 4 is a function but x? + y? = 4 is
maximum area.
8. Determine the domain and range for each.
a) A parabola has a vertex at (-2, 5), and y = 5 is
its maximum value.
b) A parabola has a vertex at (3, 4), and y = 4 is its
not a function.
Lesson 1.2
3. a) Graph the function f(x) = -2(x + 1)² + 3.
b) Evaluate f(-3).
c) What does f(-3) represent on the graph of f?
minimum value.
c) A circle has a centre at (0, 0) and a radius of 7.
d) A circle has a centre at (2, 5) and a radius of 4.
d) Use the equation to determine i) f(1) – f(0),
ii) 3f(2) – 5, and iii) f(2 – x).
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