Concept explainers
(a)
To explain: The terms function, domain of a function and range of a function.
(a)
Explanation of Solution
A function f is defined as a ordered pair
The set of all such values of x is domain D for the function f and the set of all values of
(b)
To explain: The meaning of graph of the function f.
(b)
Explanation of Solution
Graph:
Draw the graph of the function f as shown in the Figure1
As per the definition of the function it is an ordered pair
Plot the point
Connect all the points to obtain a curve this curve is known as graph of the function f.
(c)
To check: Whether the graph of a function exists or not.
(c)
Explanation of Solution
If the graph has no vertical line intersects to the curve more than once, then the graph of a function exists.
If the graph has the vertical line intersect to the curve more than once, then the graph of a function does not exist
Want to see more full solutions like this?
Chapter 1 Solutions
Essential Calculus: Early Transcendentals
- College AlgebraAlgebraISBN:9781305115545Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage LearningAlgebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageGlencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill
- Algebra and Trigonometry (MindTap Course List)AlgebraISBN:9781305071742Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage LearningBig Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin HarcourtCollege Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage Learning