√3 x + 3 if x < 3 if x= 4x + 20 if x > - 4 Calculate the following limits. Enter "DNE" if the limit does not exist. lim f(x) = I→-4 Let f(x) lim I→ 4+ lim I-4 = f(x) = f(x) = - 4 - T 4 Is this function continuous (enter 0 for no, and 1 for yes) =

√3 x + 3 if x < 3 if x= 4x + 20 if x > - 4 Calculate the following limits. Enter "DNE" if the limit does not exist. lim f(x) = I→-4 Let f(x) lim I→ 4+ lim I-4 = f(x) = f(x) = - 4 - T 4 Is this function continuous (enter 0 for no, and 1 for yes) =

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter3: Functions

Section3.7: Inverse Functions

Problem 2SE: Why do we restrict the domain of the function f(x)=x2 to find the function's inverse?

See similar textbooks

Related questions

Q: Point 1 in the solution se+: (__) Mathematical Prost: 4x - 3y = 18 ( Point 2 not in the solution…

A: Given inequality:- 4x-3y≥18

Q: K Use the given conditions to write an equation for the line in point-slope form and slope-intercept…

Q: What are the answer with work shown

A: !. Emily has $600 in a bank account, Principal P= $ 600Rate R =3.6% annual interest and time t =…

Q: This graph shows the graph of the parent function f(x) = |x| and a translated functions graph. Write…

Q: Consider the following data. X f 2 2.3 2.6 2.9 10.0 9.4 8.8 8.2 (a) Test the data to see whether…

Q: Problem Solving: Solve the following and show your solutions. Use polya's strategy Erin is 6 years…

Q: Problem Solving: Solve the following and show your solutions. Use polya's strategy. The sum of…

A: Here are the solutions:

Q: Find an equation of the tangent plane to z e-yat (2, 2, 1):| x+ y-2

A: z=ex-yf(x,y,z)=ex-y-z

Q: Let u = 4 441 -5 and A = -5 16 2 3-5 9 Is u in the plane in R spanned by the columns of A? Why or…

Q: Evaluate the discriminant and determine the number and type of solutions to the equation. 2x…

Q: A hacky sack manufacturer has just released a 3-pack of the Easy Fly hacky sacks. The cost to…

A: Given:- The cost to manufacturer each 3 pack of Easy Fly is y=1.35x+39.6 The Revenue is y=2.45x

Q: Solve the following pairs of simultaneous linear equations: a) 5x + 2y = 16 -3x + 4y = -7

A: To solve the system of equations.

Q: Let A = 1-2-1 2 -2 4-2 0 2 b₁ and b = b₂ O - Show that the equation Ax=b does not have a solution…

Q: Solve the following system of equations using elimination. 0.08x + 0.16y=8.00 x+y=80 ... Select the…

Q: Jean Juan borrowed 175,000 for 120 days at 15%. On day 30 , Jean Juan made a 50,000 partial payment.…

A: the steps are discussed

Q: Which equation represents a line that is parallel to y = 6x-4 and goes through the point (2,-1)? A B…

Q: The graph of g(x) = reflecting the graph through the [Select an answer - √-3-5 can be obtained from…

Q: population of bears originally numbers 45000. After 7 years of growth at the same rate each year,…

Q: Solve the system using substitution. 3x-2y=0 -9x+6y=7 M Select the correct choice below and, if…

Q: If all of the money the U.S. government collected from taxpayers in 2014 was collected in $1 bills,…

Q: MULTIPLE CHOICE Which symbol creates a true statement when placed be- tween the numbers shown below?…

A: To compare the numbers: |-9.5| & 92.1

Q: √67 135 400 |- 2021 -√49 natural whole number number O O O integer rational irrational number number…

A: We can identify the given numbers as below.

Q: If you want to earn 13% annual simple interest on an investment, how much should you pay for a note…

Q: The oxygan store has an average number of sold shirts monthly of 90. It is estimated that the total…

A: Let's find profit function.

Q: 3) Evaluate each algebraic expression for x = 4 and y = 2. a) 2x² + y b) y² + 16 + x² c) xy

A: Given query is to find the value of the expressions at indicated value of x and y.

Q: 13. TICKETS The high school auditorium has 800 seats. Suppose that the drama club has a goal of…

A: Topic - Linear inequalities We are given,number of seats in auditorium =800price of student…

Q: 5 3 2 1 -7 -6 -5 -4 -3 -2 -1 1 -2 -3 -4 1-6 + { f(x) = { { 1 2 3 4 5 6 V if -6 ≤ x ≤ - 3 if -3 < x <…

A: We have to find function

Q: Mary is 24 years old. Mary is twice as old as Ann was when Mary was as old as Ann is now. How old is…

Q: The sum of three numbers is 64. If the second number is two times the first and the third is four…

A: let first number is x

Q: Find the equation of a line containing the following points. Write the equation in slope-intercept…

Q: Translate the following statements into mathematical symbols. 1. Twenty-five is diminished by four…

A: Solution : 1.let the number = x Four times the number = 4x

Q: One year, Alicia saves $3000 in a mutual fund that earns an unknown interest rate each year. At the…

A: Let's solve compounding rate.

Q: Gabe Amodeo, a nuclear physicist, needs 30 liters of a 60% acid solution. He currently has a 40%…

Q: When f(x)=x²- 5x5, evaluate f(-3) f(-3) = Submit Question Jump to Answer 4

Q: Solve for X. 7 X + -7 -5] 7 = 1 -2 8 X.

Q: Evaluate the piecewise function at the given values of the independent variable. f(x) = (a) f(-4)…

A: Topic = Functions

Q: xplain how you would use the steps involved in the problem solving process to solve the following. A…

A: Given Data: Cost of each skirt =$300 Cost of each jersey=$150 Total cost =$2850

Q: (d) In the list below, select all x-values that are in the domain of (fog)(x). x=3 0 x=7 x=0 □ x=4…

Q: 20 If X has the distribution function CDF described below. Find F (4). * F(x) 1/3 1/2 >1<x<4 4≤x≤6…

Q: Solve the following system of equations using elimination. 6x +12y=0 13x + 2y = 14 Select the…

A: To solve the given system of equations using elimination method

Q: Need Full correct solution for this and I'll surely give a like for correct solution neatly on white…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Evaluate the discriminant and determine the number and type of solutions to the equation. -4d²+7d=2

Q: Let u = 2 -6 and A= 8 2-4 -5 2 9. Is u in the plane in R3 spanned by the columns of A? Why or why…

A: Given :Let u=2-68, A=2-4-5922

Q: Question 7 The cafeteria has 168 chunks of cantaloupe and 120 slices of peaches to use to make fruit…

A: Concept: Highest Common Factor is the acronym for this term. The highest factor that may divide two…

Q: Solve the equation 3x² + 4 = -7x using the Diamond Method (A*C). Show ALL work

A: Given: 3x2+4=-7x Rewriting the equation 3x2+7x+4=0 Factor 3x2+7x+4 using Diamond Method: Look…

Q: What is the enrollment fracton of science and earth science?

Q: If f(x)=2x2, what does f(1) + f(-1) equal?

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: For the equation y = x² +5, (a) create a table with at least three ordered pairs that are solutions…

Q: Use the elimination method to solve the system. x - 3y + 4z = 2x + y + z = - 2x + 3y - 3z = 16 -3 -…

Q: Use PMT= 1- PA -nt to determine the regular payment amount, rounded to the nearest dollar. Your…

A: Given :- PMT=Prn1-1+rn-nt

Question

√3 x + 3 if x <
- 4
3
if
x=
4
4x + 20
if x >
- 4
Calculate the following limits. Enter "DNE" if the limit does not exist.
lim
f(x) =
I→-4
Let f(x)
lim
I→ 4+
lim
I-4
=
f(x)
=
f(x) =
-
Is this function continuous (enter 0 for no, and 1 for yes)
=

Expert Solution

Step 1

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

A company that makes and sells baseball caps has found that the total monthly cost C in dollars of producing x caps is given by the function C(x)=0.2x280x+9000. Find the production level that will minimize the monthly cost and find the minimum cost.
Why do we restrict the domain of the function f(x)=x2 to find the function's inverse?
Find f(1) and f(2). f(x)=x+7

Recommended textbooks for you

College Algebra

Algebra

ISBN:

9781938168383

Author:

Jay Abramson

Publisher:

OpenStax