H. WAK 36 EXERCISE 3 Sketch the graphs of the following linear functions. Determine and indicate the coordinates of the intercepts with the axes. 1. (а) y = x y =x+1 y = x-4 (b) y =-x y =-x-2 y =-x+3 (c) (d) y = x y = x-2 y =x+5 y =-x y =-x+1 y =-x-4 2. Sketch the graph of f(x) =-2.x on a set of axes. Now draw the graph of the line formed if the graph of f is translated 2 units upwards. Indicate the equation of the newly formed line. Determine and indicate the intercepts with the axes. Now draw the graph of the line formed if the graph of f is translated 4 units downwards. Indicate the equation of the newly formed line. (а) (b) (c) (d) (e) (f) Indicate the equation of the newly formed line. Determine and indicate the intercepts with the axes.
H. WAK 36 EXERCISE 3 Sketch the graphs of the following linear functions. Determine and indicate the coordinates of the intercepts with the axes. 1. (а) y = x y =x+1 y = x-4 (b) y =-x y =-x-2 y =-x+3 (c) (d) y = x y = x-2 y =x+5 y =-x y =-x+1 y =-x-4 2. Sketch the graph of f(x) =-2.x on a set of axes. Now draw the graph of the line formed if the graph of f is translated 2 units upwards. Indicate the equation of the newly formed line. Determine and indicate the intercepts with the axes. Now draw the graph of the line formed if the graph of f is translated 4 units downwards. Indicate the equation of the newly formed line. (а) (b) (c) (d) (e) (f) Indicate the equation of the newly formed line. Determine and indicate the intercepts with the axes.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:H. WRK
EXERCISE 3
Sketch the graphs of the following linear functions. Determine and
indicate the coordinates of the intercepts with the axes.
1.
(a)
y = x
y =x+1
y =x-4
(b)
y =-x
y = -x-2
y =-x+3
(c)
(d)
y = x
y = x-2
y =x+5
y =-x
y =-x+1
y =-x-4
2.
Sketch the graph of f(x)=-2x on a set of axes.
Now draw the graph of the line formed if the graph of f is
translated 2 units upwards.
Indicate the equation of the newly formed line.
Determine and indicate the intercepts with the axes.
Now draw the graph of the line formed if the graph of f is
translated 4 units downwards. Indicate the equation of the newly
formed line.
(a)
(b)
(c)
(d)
(e)
(f)
Indicate the equation of the newly formed line.
Determine and indicate the intercepts with the axes.
133
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