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:
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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Concept explainers
Rate of Change
The relation between two quantities which displays how much greater one quantity is than another is called ratio.
Slope
The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as:
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