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 i) y = 2x - 1 y = 2x - 3 y = x + 2 y = x-2 y y y =x + 1 2 -2 2 2 -2 2 y =2x - 3 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 -2- Vy = -x – 1 Greater slope: y=-X-1 Greater slepe: Greater slope: Steeper: y = -2x + 3 Steeper: Steeper: b) Does a greater slope always mean a steeper slope? c) Find the absolute value of the slopes for each part in a). 2.

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 i) y = 2x - 1 y = 2x - 3 y = x + 2 y = x-2 y y y =x + 1 2 -2 2 2 -2 2 y =2x - 3 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 -2- Vy = -x – 1 Greater slope: y=-X-1 Greater slepe: Greater slope: Steeper: y = -2x + 3 Steeper: Steeper: b) Does a greater slope always mean a steeper slope? c) Find the absolute value of the slopes for each part in a). 2.

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Description: Do questions b), c), and d) only 品 Q888.2 Unit 1 F8-20...8.2 Unit 1 F8-208.2 Unit 1 F8-19Part 17,-|F8-20 Comparing Linear Functions1. a) Graph both functions on the same grid. Determine which function has the greaterslope and which is steeper.i) y=x+

Algebra for College Students

10th Edition

ISBN:9781285195780

Author:Jerome E. Kaufmann, Karen L. Schwitters

Publisher:Jerome E. Kaufmann, Karen L. Schwitters

Chapter8: Functions

Section8.CT: Test

Problem 19CT

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Topic Video

Question

Do questions b), c), and d) only

品 Q
88
8.2 Unit 1 F8-20
...
8.2 Unit 1 F8-20
8.2 Unit 1 F8-19
Part 1
7,
-
|
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
y = 2x - 3
y = x + 2
y = x - 2
y
y
y
yEx +1
2
2-
2
2
2
-2
2
2
2
-2
y =2x - 3
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
-2
Vy = -x – 1
Greater slope:_y = -X - 1
Greater slope:
Greater slope:
Steeper: y = -2x +3
Steeper:
Steeper:
b) Does a greater slope always mean a steeper slope?
c) Find the absolute value of the slopes for each part in a).
i) 11 = 1, 12| = 2
ii)
iii)
iv) -1 = 1,1-2| = 2
v)
Bonus
d) Does a greater absolute value slope always mean a steeper slope?
Functions 8-20
20

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