Concept explainers
(a)
To Explain: about the function, its domain and rang.
(a)
Explanation of Solution
Given information:
Consider the function
The function is a relation defined on two sets, that is every element of first set contains a
unique element in second set.
Domain of the function is the set of all possible input values of a function.
Range of the function is the set of possible outputs.
Consider the function
Domain is the possible x values, here
Range is the
(b)
To Explain: about the graph of the function
(b)
Explanation of Solution
Given information:
Consider the graph of the function.
Consider the function
The domain values are o the
The range values are in the
The graph of the function is set of all points in the plane of the form
(c)
To Explain: the method to identify weather the given curve is a graph of a function.
(c)
Explanation of Solution
Given information:
Consider the graph of the function.
Vertical line test is used to verify weather the given curve is a function or not.
According to vertical line test,
Draw a vertical line on to the given curve, if the vertical line intersect the curve at only
once, then the curve is a graph of the function, otherwise not.
Want to see more full solutions like this?
Chapter 1 Solutions
Biocalculus
- Vertical Line Test Use the vertical Line Test to determine whether the curve is a graph of a function of x .arrow_forwardMaximum Volume An open box of maximum volume is made from a square piece of material 24 centimeters on a side by cutting equal squares from the corners and turning up the sides (see figure). (a) The table shows the volumes V (in cubic centimeters) of the box for various heights x (in centimeters). Use the table to estimate the maximum volume. (b) Plot the points (x,V) from the table in part (a). Does the relation defined by the ordered pairs represent V as a function of x ? (c) Given that V is a function of x, write the function and determine its domain.arrow_forward
- 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
- Big Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin HarcourtAlgebra and Trigonometry (MindTap Course List)AlgebraISBN:9781305071742Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage LearningCollege Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage Learning