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
Bundle: Biocalculus: Calculus, Probability, And Statistics For The Life Sciences + Webassign Printed Access Card For Stewart/day's Biocalculus: Calculus For Life Sciences, 1st Edition, Multi-term
- How do you find the value of a function?arrow_forwardDescribe why the horizontal line test is an effective way to determine whether a function is one-to-one?arrow_forwardThe graph of f(z) = 3 is reflected across the a-axis, shifted downward 5 units, and then shifted left 4 units. Let g(z) represent the new function. What is an equation for this function? g(z) = . help (formulas) What is the y-intercept of g(z)? Enter the answer as an ordered pair. help (points) What is the domain of g(z)? Enter the answer as an interval. help (intervals) What is the range of g(z)? Enter the answer as an interval. help (intervals)arrow_forward
- Intermediate AlgebraAlgebraISBN:9781285195728Author:Jerome E. Kaufmann, Karen L. SchwittersPublisher:Cengage LearningGlencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw HillHolt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGAL
- Trigonometry (MindTap Course List)TrigonometryISBN:9781337278461Author:Ron LarsonPublisher:Cengage Learning