Which of the following is NOT TRUE about the tangent line intersecting the graph of a function? The tangent line to a graph at a point is the line that touches the graph and has the same direction as the graph at the point where they meet. It is impossible for a tangent line to intersect the graph of a curve at two or more points. The point where the tangent line and the graph meet is the point of tangency. The rate of change of the graph at a given point is the slope of the tangent line at that point. 19

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
icon
Related questions
Question
Which of the following
is NOT TRUE about the
tangent line intersecting
the graph of a function?
The tangent line to a graph at a point
is the line that touches the graph
and has the same direction as the
graph at the point where they meet.
It is impossible for a tangent line to
intersect the graph of a curve at two
or more points.
The point where the tangent line
and the graph meet is the point of
tangency.
The rate of change of the graph at a
given point is the slope of the
tangent line at that point.
19
Transcribed Image Text:Which of the following is NOT TRUE about the tangent line intersecting the graph of a function? The tangent line to a graph at a point is the line that touches the graph and has the same direction as the graph at the point where they meet. It is impossible for a tangent line to intersect the graph of a curve at two or more points. The point where the tangent line and the graph meet is the point of tangency. The rate of change of the graph at a given point is the slope of the tangent line at that point. 19
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Similar questions
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning