
(a)
To state: the domain of the given function.
(a)

Answer to Problem 57E
The domain of the given function is
Explanation of Solution
Given information:
Consider
Calculation:
The domain is the set of x values for which the function is defined.
Find the undefined values of
The function is define for all real values of x except at
Hence, the domain is
(b)
To identify: all the intercepts of the given function.
(b)

Answer to Problem 57E
The x- intercept is
Explanation of Solution
Given information:
Consider
Calculation:
The x- intercept is the point at which the graph of the function crosses the x- axis.
The y- intercept is the point at which the graph of the function crosses the y- axis.
Hence, the x- intercept is
(c)
To find: the vertical or slant asymptotes of the given function.
(c)

Answer to Problem 57E
The oblique asymptote is
Explanation of Solution
Given information:
Consider
Calculation:
Degree of numerator is greater than the degree of denominator. So there is no horizontal
Asymptote. Slant asymptote is there.
To find vertical asymptote equate denominator to zero.
Hence, the oblique asymptote is
(d)
To plot: the given function.
(d)

Explanation of Solution
Given information:
Consider
Graph:
The graph of the
Chapter 2 Solutions
Precalculus with Limits
- A 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_forward13. Let f be the function defined by Find f (-1), f (0), ƒ (1) and ƒ (2). Answer f(x) = .2 J-x² +3 if x <1 2x²+1 2x²+1 if x ≥ 1arrow_forward
- Λ Content Mind Tap - Cengage Learning × Function Evaluations x + c/nb/ui/evo/index.html?elSBN 9780357038406&id=339416021&snapshotld=877369& GAGE MINDTAP ons, Limits, and the Derivative 14. Let f be the function defined by Find f (0), f (1), and f (2). 2+1 x if x 1 if x 1 f(x) = 1 1-xarrow_forwardA Content c/nb/ui/evo/index.html?elSBN 9780357038406&id=339416021&snapshotld=877369& GAGE MINDTAP ons, Limits, and the Derivative 11. Let f be the function defined by Find f (-2), f (0), and f (1). Answer f(x) = [ x² + 1 if x ≤ 0 if x > 0arrow_forwardGiven that 4−4i is a zero, factor the following polynomial function completely. Use the Conjugate Roots Theorem, if applicable. f(x)=x4−5x3−2x2+176x−320arrow_forward
- eliminate the parameter to find the cartesian equation of the curve and sketch the graph. On the graph show the direction it takes and the initial and terminal point. Please draw by hand and show how you got to each steparrow_forwardeliminate the parameter to find the cartesian equation of the curve and sketch the graph. On the graph show the direction it takes and the initial and terminal point. Please draw by hand and show how you got to each steparrow_forwardeliminate the parameter to find the cartesian equation of the curve and sketch the graph. On the graph show the direction it takes and the initial and terminal point. Please draw by hand and show how you got to each steparrow_forward
- eliminate the parameter to find the cartesian equation of the curve and sketch the graph. On the graph show the direction it takes and the initial and terminal point. Please draw by hand and show how you got to each steparrow_forwardGraphically, explain the various forms of linear functionsarrow_forward2. Find the Bezier surface equation using the 9 control points shown below. Use the u and v directions shown. It is required to show all the calculation processes for finding Bernstein polynomials. Find the surface tangent, twist and normal vectors at point u=0.5 and v=0.5. (40 points) y 10 9 8 7 6 5 4 3 2 Poo и 1 1 2 3 4 5 6 7 8 9 10 10 Xarrow_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





