In Exercises, given the function: a) Sketch the graph and determine whether the function is one-to-one. b)

Question:

In Exercises, given the function:
a) Sketch the graph and determine whether the function is one-to-one.
b) If it is one-to-one, find a formula for the inverse.
1. f (x) = 2 - 3x
2. f (x) = (x + 2) / (x - 1)
3. f (x) = √(x - 6)

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

College Algebra Graphs and Models

ISBN: 978-0321845405

5th edition

Authors: Marvin L. Bittinger, Judith A. Beecher, David J. Ellenbogen, Judith A. Penna

See More Books

Question Posted: Apr 12, 2016 09:50 AM

See More Questions

In Exercises given the function: a) Determine whether it is one-to-one. b) If it is one-to-one, find a formula for the inverse. 1. f(x) = 2x - 3 2. f(x) = x3 + 2
Find a formula for the inverse function of each of the following functions: a. The function that takes any input and adds 3 to it. b. The function that takes any input and divides it by 1/3. c. The...
Find a formula for the inverse of the function. 4-1 24. f(x) = 2 + 3 26. y = 2x + 3 23. f(x) - 10 - 3r 25. f(x) = e 27. y- In(x + 3) 28. v = 1-
A palindrome is a string that is the same backward as it is forward. For example,tot and otto are rather short palindromes. Write a program that lets a user enter a string and that passes to a bool...
The funds of Lake City include a debt service fund, a capital projects fund, and an internal service fund. Required a. Explain the use of capital projects funds. Include what they account for, the...
What are some advantages and disadvantages of deferring salaries (both from the players and the teams perspectives)?
For each of the following situations, calculate the degrees of freedom $(d f)$ and determine the critical values of $t$. a. $N=10 ; \mathrm{a}=.05 ; \mathrm{H}_{1}: \mu eq 5$ b. \(N=20 ;...
Bill Watts has decided to buy a sub shop franchise called Super Subs. He lives in Cedar Falls, Iowa, and will be the first Super Subs franchisee in the state. Along with buying a Super Subs...
In January, 1993, there were about 1,313,000 internet hosts. During the next five years, the number of hosts increased by about 100% per year. a. Write a model giving the number h (in millions) of...
On May 10 of the current year, Stowe Corporation distributes to its shareholder Arlene $20,000 in cash and land (a capital asset) having a $50,000 FMV. The land has a $15,000 adjusted basis (for both...
Explain the errors, if any, in the following loga ab3 = (loga a) (loga b3) = 3 loga b.
For the function f, use composition of functions to show that f -1 is as given. a. f (x) = 6x - 5, f -1(x) = (x + 5) / 6 b. f (x) = (x + 1) / x, f -1(x) = 1/(x - 1)
In Problems 1518, apply Theorem 4 (that is, calculate a determinant) to determine whether the given vectors u, v, and w are linearly dependent or independent. u = (1, -1, 2), v = (3, 0, 1), w = (1,...
A PROPERTY IS ANALYZED FOR A CONSTRUCTION LOAN. THE TOTAL COST IS $12 MILLION; THE 2 YEAR LOAN IS $8 MILLION AND ACCRUED INTEREST IS $450,000 AFTER 2 YEARS. the loan term extended 9 months during...
Cash is considered an idle asset because it does not earn interest. Good financial management requires a firm to hold a limited amount of cash, but it is important for the firm to hold sufficient...
the owner of a small clothing store is examining expenses related to the workers comp insurance for the 5 employees of the store. The job classification fund rate for retail is determined to be $2...
A financial institution is processing transactions and wishes to improve its security posture. The institution divides its network into different sections to minimize risk while actively updating or...
Upon an audit of medical records, you find that you are not in compliance with a few if the regulations. As the new manager, do you proceed? What are some considerations you want to be aware of?
At the beginning of April, Winslow Toy Company budgeted 50,000 toy action figures to be manufactured in April at standard direct materials and direct labor costs as follows: Direct materials...
Separate variables and use partial fractions to solve the initial value problems in Problems 18. Use either the exact solution or a computer-generated slope field to sketch the graphs of several...
Sketch a reasonable graph for each relation described in Exercise 5. In each situation, identify the variables and label your axes appropriately. In Exercise 5 a. The price of a graphing calculator...
Suppose f (x) = 25 - 0.6x. a. Draw a graph of this function. b. What is f (7)? c. Identify the point (7, f (7)) by marking it on your graph. d. Find the value of x when f (x) = 27.4. Mark this point...
Sketch a graph for each function. a. y = f (x) has domain all real numbers and range f (x) 0. b. y = g (x) has domain x > 0 and range all real numbers. c. y = h (x) has domain all real numbers and...
Solve (2.4 x 10-5) X 875 (2.5 x 107) x (2.8 x 107)
assume there are no outliers. Draw the boxplot for the following frequency table. You may X f rf cf crf 3 7 0.1228 7 0.1228 4 11 0.1930 18 0.3158 5 9 0.1579 27 0.4737 618 6 0.1053 33 0.5789 10 0.1754...
Find the partial derivative of the regularized least squares problem: {) (w + x) (wo + w x ( ) + w x ( ) } + |/\||[w1, w2]|| with respect to wo, w, and w2. Although there is a closed-form solution to...

In Exercises, given the function: a) Sketch the graph and determine whether the function is one-to-one. b)

Question:

Step by Step Answer:

1 a The graph of fx 2 3x is shown below It passes the horizontalline test so the f...View the full answer

College Algebra Graphs and Models

Students also viewed these Linear Algebra questions