The expression lim c+Ax)-f(c) Ax-0 is important in the study of calculus. Match the parts of Ax this expression with their meanings in context of the graph. c+Ax 1. The y-coordinate of point P. 2. The y-coordinate of point Q. f(c+Ax)-f(c) Ax 3. The horizontal distance from point P to point Q. f(c+Ax)-f(c) 4. The vertical distance from point P to point Q. lim Ax Ax→0 f(c + Ax) 5. The straight-line distance from P to Q. f(c + Ax) – f(c) 6. The slope of the secant line joining P and Q. 7. The slope of the tangent line at P. 8. The slope of the tangent line at Q.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 35E
Question
100%
f(c+Ax)-f(c)
The expression lim
Ax→0
is important in the study of calculus. Match the parts of
Ax
this expression with their meanings in context of the graph.
C+Ax
1. The y-coordinate of point P.
2. The y-coordinate of point Q.
3. The horizontal distance from point
P to point Q.
f(c+Ax)-f(c)
Ax
lim
Ax→0
f(c+Ax)=f(c)
Ax
4. The vertical distance from point P
to point Q.
f(c + Ax)
5. The straight-line distance from P to
Q.
f(c + Ax) – f(c)
6. The slope of the secant line joining
P and Q.
7. The slope of the tangent line at P.
8. The slope of the tangent line at Q.
<>
Transcribed Image Text:f(c+Ax)-f(c) The expression lim Ax→0 is important in the study of calculus. Match the parts of Ax this expression with their meanings in context of the graph. C+Ax 1. The y-coordinate of point P. 2. The y-coordinate of point Q. 3. The horizontal distance from point P to point Q. f(c+Ax)-f(c) Ax lim Ax→0 f(c+Ax)=f(c) Ax 4. The vertical distance from point P to point Q. f(c + Ax) 5. The straight-line distance from P to Q. f(c + Ax) – f(c) 6. The slope of the secant line joining P and Q. 7. The slope of the tangent line at P. 8. The slope of the tangent line at Q. <>
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