a.
To check: The graph of the relation is a function
Given information:
The graph is given below:
Concept used:
Vertical line test :The test state that a graph represent a function if and only if all vertical lines intersect the graph at most once.
Explanation:
Here from the graph can understand that when doing the vertical line test ,the vertical line intersect more than one point .So the graph fail in the vertical line test .
Hence the given graph of a relation is not function.
b.
To check: The relation that have an inverse and is a function.
Given information:
The graph is given below.
Concept used:
The ordered pair
The inverse of a relation is a function if and only if each horizontal line intersects the graph
of the original relation in at most one point.
Explanations:
Each ordered pair
But when do the horizontal line test it intersects at only one point so it pass the horizontal line test.
Hence the inverse of this relation is a function.
Chapter 1 Solutions
Precalculus: Graphical, Numerical, Algebraic Common Core 10th Edition
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- 7.10 (B/C). A circular flat plate of diameter 305 mm and thickness 6.35 mm is clamped at the edges and subjected to a Uniform lateral pressure of 345 kN/m². Evaluate: (a) the central deflection, (b) the position and magnitude of the maximum radial stress. C6.1 x 10 m; 149.2 MN/m².] 100 200arrow_forward3.15 (B). A beam ABCD is simply supported at B and C with ABCD=2m; BC 4 m. It carries a point load of 60 KN at the free end A, a Uniformly distributed load of 60 KN/m between B and C and an anticlockwise moment of 80 KN m in the plane of the beam applied at the free end D. Sketch and dimension the S.F. and B.M. diagrams, and determine the position and magnitude of the maximum bending moment. CEL.E.] CS.F. 60, 170, 70KN, B.M. 120, +120.1, +80 kNm, 120.1 kNm at 2.83 m to right of 8.7arrow_forward7.1 (A/B). A Uniform I-section beam has flanges 150 mm wide by 8 mm thick and a web 180 mm wide and 8 mm thick. At a certain section there is a shearing force of 120 KN. Draw a diagram to illustrate the distribution of shear stress across the section as a result of bending. What is the maximum shear stress? [86.7 MN/m².arrow_forward
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