
Concept explainers
a.
To sketch the graph of the function by applying the leading coefficient test.
a.

Explanation of Solution
Given Information:
The given polynomial function is-
Calculation:
Leading coefficient test-
The graph of the polynomial function rises or falls eventually in the following way −
It depends on the value of as
moves to the left or to the right without bound,
1. For positive leading coefficient is positive and oddthe graph will rise to the right and will fall to the left and otherwise for the negative leading coefficient, the graph will rise to the left and will fall to the right.
2. For positive leading coefficient and eventhe graph will rise to the left and right and for the negative leading coefficient, the graph will fall to the left and right.
As the degree of polynomial is odd and the leading coefficient is negative, so by the leading coefficient test it can be concluded that the graph of the polynomial function will rise to the left and will fall to the right.
b.
To sketch the graph of the function by finding the zeroes of the polynomial,
b.

Explanation of Solution
Given Information:
The given polynomial function is-
Calculation:
The real zeroes of the polynomial function can be determined by putting.
So, there is one real zero of the polynomial
c.
To sketch the graph of the function by plotting sufficient solution points
c.

Explanation of Solution
Given Information:
The given polynomial function is-
Calculation:
There are not fixed number of solution points, so the answer may vary.
d.
To sketch the graph of the function by drawing a continuous curve through the points.
d.

Explanation of Solution
Given Information:
The given polynomial function is-
Calculation:
The continuous plot of the polynomial function is,
Chapter 2 Solutions
Precalculus with Limits
- A helicopter pilot needs to travel to a regional airport 25 miles away. She flies at an actual heading of N16.26°E with an airspeed of 110 mph, and there is a wind blowing directly east at 20 mph. (a) Determine the compass heading that the pilot needs to reach her destination. (b) How long will it take her to reach her destination?arrow_forwardQuestion 3. the given integral is convergent or divergent: Use the comparison test to determine whether or not * sin*(x + 1) 7x3 (a) |. d.x g8 + x4 + 1 -dx (b) 2.x4 + x + 1arrow_forward-d.x tan xarrow_forward
- 48. f(x) = { 4 x if x < 2 2x 2 if x 2arrow_forwardГ 49. -x+1 if x 1 Answer ->arrow_forwardA Content X MindTap - Cengage Learning x Function Evaluations x + /ui/evo/index.html?elSBN=9780357038406&id=339416021&snapshotld=877369& GE MINDTAP , Limits, and the Derivative ⭑ វា a ANSWEI 16. Refer to the graph of the function f in the following figure. कर्ट AA C 54 -3-2 7 7 Ay 6. S 5. y=f(x) 4 3. 2. 1 -3- 34567 8 00 9 10 a. Find the value of ƒ (7). b. Find the values of x corresponding to the point(s) on the graph of ƒ located at a height of 5 units from the x-axis. c. Find the point on the x-axis at which the graph of ƒ crosses it. What is the value of f (x) at this point? d. Find the domain and range of f. MacBook Pro G Search or type URL + > % Λ & 5 6 7 29 ( 8 9 0arrow_forward
- Morgan F. - C X A Courses MindTap - Cengage Learning Х Domain of Square Roots X + gage.com/static/nb/ui/evo/index.html?elSBN 9780357038406&id=339416021&snapshotld=877369& CENGAGE MINDTAP 2: Functions, Limits, and the Derivative 47. x if x < 0 f(x) = 2x+1 if x 0 Answerarrow_forwardA Content MindTap - Cengage Learning × Function Evaluations * + c/nb/ui/evo/index.html?elSBN 9780357038406&id=339416021&snapshotld=877369& GAGE MINDTAP ions, Limits, and the Derivative 15. Refer to the graph of the function f in the following figure. 6 y = f(x) 5 4+ 3- 2- 1 + 2 -1 3 4 5 6 a. Find the value of ƒ (0). Answer-> b. Find the value of x for which (i) f (x) = 3 and (ii) f (x) = 0. Answer ▾ c. Find the domain of f. Answer + d. Find the range of f. Answer+ MacBook Proarrow_forwardAnswer-> 12. Let g be the function defined by Find g(-2), g(0), g (2), and g (4). - +1 if x <2 g(x) = √√√x-2 if x 2arrow_forward
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning





