Question: a. Graph the function (x) = 1/x. What symmetry does the graph have? b. Show that is its own inverse.

a. Graph the function ƒ(x) = 1/x. What symmetry does the graph have?

b. Show that ƒ is its own inverse.

Step by Step Solution

★★★★★

3.45 Rating (164 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

a The graph of the function x 1x is shown below The graph ha... View full answer

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 Precalculus Questions!

Q:

Let Show that y is its own inverse function. What can you conclude about the graph of ? Explain. y || x x - 2 1'

Q:

From a management perspective, formulate and explain your company's offensive or defensive strategy to improve its market position in the next 3 years. Explain whether your company will be a first...

Q:

Let I := [0, 1] and let f : I R be defined by f (x) := x for x rational, and f(x) := 1 - x for x irrational. Show that f is injective on I and that f (f(x)) = x for all x I. (Hence f is its own...

Q:

20. [-/2 Points] DETAILS LARCALCET7 3.1.081. Use a graphing utility to graph the function. (x) = 1x - 31 -5 5 10 -2 - 6 -B 2 - 10 -5 5 10 10 =10 -5 5 -6 -8 -10 O -10 -5 Find the x-values at which fis...

Q:

polynomial Multiple Choice (1 mark each) Record your answers on the multiple choice answer sheet. 1. The graph of f(x) = -(x - 1)(x + 2) has x-intercepts of A. 0 B. -1 and 2 C. 1 and -2 D. 1 and 4 2....

Q:

help with the questions below Part A Consider the function f(x) = x3- 4x2 + 2. Calculate the limit of the difference quotient at x0 = 3 for f(x). Answer: Space used (includes formatting): 0 f 15000...

Q:

Question 25 Follow the seven step strategy to graph the following rational function To graph the function, first determine the symmetry of the graph of f. Choose the correct answer below. O y-axis...

Q:

An open box is made from a square piece of cardboard 12 inches on a side by cutting identical squares from the corners and turning up the sides. Use this information to complete parts a through c. a....

Q:

\fAn alligator's tail length, T, varies directly as its body length, B. An alligator with a body length of 5.6 feet has a tail length of 4.9 feet. What is the tail length of an alligator whose body...

Q:

Need help on Algebra..any help is appreciated. Answer key is attached There are 30 problems. Problems #112 are Multiple Choice. Problems #13~2l are Short Answer. (Work not required to be shown)...

Q:

Refer to Exercise 3. Suppose that the diameters of 10 pores are independent. a. Find the probability that more than seven of them have diameters less than 3 microns. b. Find the probability that...

Q:

Black and Blue Sports Inc., manufactures two products: snowboards and skis. The factory overhead incurred is as follows: Indirect labor ............ $ 507,000 Cutting Department ......... 156,000...

Q:

NIDAHK si acompany with over 1 0 0 employees and four different offices across the GCC . The company needs a network design that can connect its ofices with suitable network links. The network should...

Q:

In Isaiah 49:16, speaking to Israel, God says, I have engraved you on the palms of my hands. What does such striking language say about Gods memory and commitment to his people?

Q:

The marketing manager at Levi-Strauss wishes to find a function that relates the demand D for mens jeans and p, the price of the jeans.The following data were obtained based on a price history of the...

Q:

In problem, a linear function is given. (a) Determine the slope and y-intercept of each function. (b) Use the slope and y-intercept to graph the linear function. (c) Determine the average rate of...

Q:

Professor Grant Alexander wanted to find a linear model that relates the number of hours a student plays video games each week, h, to the cumulative grade-point average,G, of the student. He obtained...

Q:

Help with both parts Rate of Retumi Ii Slafe Occurs Probability of State of conom 21 51 28 State o Stock B Economy Recession Normal Boom Stock A 09 .12 17 16 13 .30 Calculate the expected return for...

Q:

Present a case for and against business ethics and social responsibility

Q:

P8. Shah Fabrics, Inc.s comparative balance sheets for December 31, 2014 and 2013, follow. Shah Fabrics, Inc. Comparative Balance Sheets December 31, 2014 and 2013 2014 2013 Assets Cash $ 378,240 $...