F8-20 Comparing Linear Functions 1. a) Graph both functions on the same grid. Determine which function has the slope and which is steeper. greater i) y=x+ 1 ii) y = 3x - 1 iii) y = 2x – 1 y = 2x 3 y = x + 2 y = x - 2 y y y y =x + 1 2 2 2 2 2 y 2x 3 -2 2 Greater slope:_y = 2x – 3 Greater slope: Greater slope: Steeper:_y = 2x – 3 Steeper: Steeper: iv) y = -x- 1 v) y= -3x +1 Bonus y = x + 1 y = -2x + 3 y = -2x – 2 y = -3x + 1 y y y =-2x +3 2 -2 -2 -2 -2 -2 -2 Vy -x-1 Greater slope:_y = -X - 1 Greater slope: Greater slope: Steeper: y = -2x + 3 Steeper: Steeper:

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 60E
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F8-20 Comparing Linear Functions
1. a) Graph both functions on the same grid. Determine which function has the greater
slope and which is steeper.
i) y=x+ 1
ii) y= 3x – 1
iii) y = 2x – 1
У 3 2х - 3
y = x + 2
y = x – 2
y
y
y
y =x + 1
2
2
2
2
2
2
y = 2x 3
-2
2
Greater slope:_y = 2x – 3
Greater slope:
Greater slope:
Steeper:_y = 2x – 3
Steeper:
Steeper:
iv) y = -x 1
v) y= -3x + 1
Bonus y = x + 1
y = -2x + 3
y = -2x – 2
y = -3x + 1
y
y
y
y =-2x + 3
2
-2
-2
-2
2
-2
-2
-2
V y = +x - 1
Greater slope:_y = -X - 1
Greater slope:
Greater slope:
Steeper: y =-2x +3
Steeper:
Steeper:
Transcribed Image Text:F8-20 Comparing Linear Functions 1. a) Graph both functions on the same grid. Determine which function has the greater slope and which is steeper. i) y=x+ 1 ii) y= 3x – 1 iii) y = 2x – 1 У 3 2х - 3 y = x + 2 y = x – 2 y y y y =x + 1 2 2 2 2 2 2 y = 2x 3 -2 2 Greater slope:_y = 2x – 3 Greater slope: Greater slope: Steeper:_y = 2x – 3 Steeper: Steeper: iv) y = -x 1 v) y= -3x + 1 Bonus y = x + 1 y = -2x + 3 y = -2x – 2 y = -3x + 1 y y y y =-2x + 3 2 -2 -2 -2 2 -2 -2 -2 V y = +x - 1 Greater slope:_y = -X - 1 Greater slope: Greater slope: Steeper: y =-2x +3 Steeper: Steeper:
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