Tofind:Tangent line and secant line using graph.
Answer to Problem 1D
Tangent line: touches a curve at a single point whereas A secant line intersects two or more points on the curve.
Explanation of Solution
Given:Tangent line and secant line
Concept used:tangent line gives a slope of the equation and secant line gives solution here.
Calculation:
Tangent line: touches a curve at a point, matching the curves slope there.
(from the Latin tangents means touching like the in the word tangible)
A secant line intersects two or more points on the curve. (from the Latin word secare cut or sever.)
They are the line which extends up-to infinity.
The graph both tangent line secant line
Red curve shows a parabola
The Blue line curve which is tangent line
The green line indicates secant line
Hence Tangent line: touches a curve at a single point whereas A secant line intersects two or more points on the curve.
Want to see more full solutions like this?
Chapter 2 Solutions
Calculus
- The point F in the graph has the coordinates ( 3 " D ✦ ).arrow_forwardBuild a model in three forms. a. Point sole form b. Slope intercept form c. Standard Formarrow_forward2) Write an equation for the curve shown below. Explain what kind of graph it is and what elements of your equation and the graph prove it is correct.arrow_forward
- part barrow_forwardUse the graph for c,d,earrow_forwardWhich of the lines in the following graph appear to be tangent lines? Why or why not? xy L1 L2 L3 L4 L5 L6 A coordinate system has a horizontal x-axis and a vertical y-axis. An undulating curve spans most of the length of the x-axis. A line segment rises from left to right and crosses the curve at L 1. A second line segment touches the curve at L 2. A third line segment touches the curve at L 3. A fourth line segment touches the curve at L 4. A fifth line segment is horizontal and crosses the curve at L 5. A sixth line segment touches the curve at L 6. Which of the lines in the following graph appear to be tangent lines? Select all that apply. A.Upper L 5 L5 B.Upper L 4 L4 C.Upper L 3 L3 D.Upper L 1 L1 E.Upper L 6 L6 F.Upper L 2arrow_forward
- Mathematics For Machine TechnologyAdvanced MathISBN:9781337798310Author:Peterson, John.Publisher:Cengage Learning,College Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage LearningElementary Geometry For College Students, 7eGeometryISBN:9781337614085Author:Alexander, Daniel C.; Koeberlein, Geralyn M.Publisher:Cengage,
- Functions and Change: A Modeling Approach to Coll...AlgebraISBN:9781337111348Author:Bruce Crauder, Benny Evans, Alan NoellPublisher:Cengage LearningTrigonometry (MindTap Course List)TrigonometryISBN:9781305652224Author:Charles P. McKeague, Mark D. TurnerPublisher:Cengage LearningHolt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGAL