Question: Find the domain and range of the rational function. Complete all parts for each function. x2 725 1) Find the domain and range of the

Find the domain and range of the rational function. Complete all parts for each function. x2 725 1) Find the domain and range of the rational function v(x) = 2. 2:: +131." +15 A) Factor the numerator and denominator. B) Determine the point of discontinuity if it exists. 0) Determine the vertical asymptote. D) Determine the horizontal asymptote. E) Graph the function. (Hint: The graph has the form of .) 1) Fill in the table of values to find three or four points to plot for each curve. Use a graphing calculator. *8 *3 2 1 0 2 5 10 Include the point of discontinuity: 2) Plan your scales and the orientation of the axes. Then draw the axes and the aSymptotes. Lastly, fill in the points from Step E1, draw the curves, and label the aSymptotes. 10- X -10 -9 -8 -7 -6 -5 -3 -2 -1 1 2 5 7 8 9 10 F) Determine the domain. 1) Describe the domain in complete sentences. 2) Write the domain in set notation. 3) Write the domain in inequality notation.4) Write the domain in interval notation. G) Determine the range. 1) Describe the range in complete sentences. 2) Write the range in set notation. 3) Write the range in inequality notation. 4) Write the range in interval notation. 2) Find the domain and range of the rational function w(x) : 3.23::fo_ x x A) Factor the numerator and denominator. B) Determine the point of discontinuity if it exists. 0) Determine the vertical asymptote. D) Determine the horizontal asymptote. E) Graph the function. 1) Fill in the table of values to find three or four points to plot for each curve. Use a graphing calculator. *6 2 1 0 1 3 Include the point of discontinuity: 2) Plan y0ur scales and the orientation of the axes. Then draw the axes and the asymptotes. Lastly, fill in the points from Step E1, draw the curves, and label the asymptotes. .14;+-H-?-.~1-1_. .9? F) Determine the domain. 1) Describe the domain in complete sentences. 2) Write the domain in set notation. 3) Write the domain in inequality notation. ( 2 . ) 4) Write the domain in interval notation. G) Determine the range. 1) Describe the range in complete sentences. 2) Write the range in set notation. 3) Write the range in inequality notation. 4) Write the range in interval notation

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Need your help regarding this Activities/Lesson I'll surely give you Feedback. What I Have Learned A. Based on the concepts that you learn from this module, complete the following: 1-2. A relation is...

Direction: Read each item carefully. Then, answer the questions that follow. 2x Due to the global pandemic, the National Government bought - - face mask to be x3 +4 distributed equally to x+4...

(1 point) Find the domain and range of the following function: f(x) = V2x -1 Hint: It may help to graph the function first. A free graphing calculator is available online at...

Review: Graphing Basic Functions using a Table of Values Several common functions are organized by type in the practice problem set below. The basic function is named in the left column and a more...

Consider the function. f(x) = Vx- 6 (a) Find the inverse function. f- 1 ( x ) = (b) Find the domain and range of the inverse function. (Enter your answers using interval notation.) domain range

5) Use the factor theorem to show that x - 3 is a factor of / (x) = x5 - 6x* + 11x3 - 5x2 - 4x + 3. [2 marks] 6) Page 199, Q. 24 [2 marks] Section 3.5 7) Page 234, Q. 4 [3 marks] 8) (a) Sketch the...

1) Find all real solutions of: 4 2 2 x + x =3 2 x 4 + x23=0 4 2 2 2 x 2 x +3 x 3=0 x ( 21)=0 2 x 2 ( x 21)+ 3 ( 2 x2 +3 ) ( x 21 ) =0 ( 2 x2 +3 ) =0 2 2 x =3 3 x 2= 2 3 x= 2 3 x= i 2 2) Given the...

Content X (13) Quadratics - Transfor X Bb 31390444 X VA Quiz 6 - MAT 171, section X VA OpenStax, Precalculus X + V X C...

College Algebra MATH 107 Fall, 2017, V1.3 MATH 107 FINAL EXAMINATION This is an open-book exam. You may refer to your text and other course materials as you work on the exam, and you may use a...

College Algebra MATH 107 Spring, 2016, V4.1 MATH 107 FINAL EXAMINATION This is an open-book exam. You may refer to your text and other course materials as you work on the exam, and you may use a...

Consider the continuous-time system depicted in Fig. 2. (a) Derive the impulse response h(t) of the system. (b) Apply the convolution integral to determine the output y(t) if x(t) = e-u(t). x(t) Fig....

Let A be a symmetric 2 ( 2 matrix and let k be a scalar. Prove that the graph of the quadratic equation xT Ax = k is (a) A hyperbola if k 0 and det A

Flexible Budget Drill # 3 Based on a forecasted production of 1 2 , 0 0 0 units, Kesler Company anticipates $ 1 5 0 , 0 0 0 of fixed costs and $ 2 0 0 , 0 0 0 of variable costs. If Kesler actually...

Problem 1.12 Find correlation of the random variables X and X, where X has a uniform distribution in the interval [0, 1].