37 Answered Questions for the topic Piecewise Function

Piecewise Function Calculus Functions Discontinuity

04/17/22

Calculus Continuity and Discontinuity Piecewise function

f(x) = { 2x - 1 : x < 0 ;;;; a : x = 0 ;;;; x+b/2 : x<0}a. Determine, if any, the values of a and b that cause f to have a limit for all x butnot continuous for one more x value!b. Determine,... more
Piecewise Function Calculus Precalculus Pre Calculus

04/29/21

Use the graph below to find the limits or explain why the limits do not exist.

a) lim_x→2^- f(x)b) lim_x→2^+ f(x)c) lim_x→2 f(x)It will not let me put the graph but it is a graph showing only the first quadrant labeled 1-5 on both axes. One line has a slope of 1, passes... more
Piecewise Function Calculus Continuity

02/14/21

A 0.6 ml dose of a drug is injected into a patient steadily for half a second.

At the end of this time, the quantity, Q, of the drug in the body starts to decay exponentially at a continuous rate of 0.2% per second. Using formulas, express Q as a continuous function of time,... more
Piecewise Function Calculus

05/15/19

how to write a piecewise function from a word problem?

a moving company charges according to the weight of boxes packed. if the total boxes weight is 10 pounds and under, the company charges $20. if the boxes weigh between 10 and up to 50 pounds, the... more
Piecewise Function Calculus Continuity And Limits

09/25/18

Find the values of a and b so that f(x) is continuous everywhere

Question: Find the values of a and b so that f(x) is continuous everywhere  - Just to be clear, f(x) is a piecewise function   f(x) = 3x-4, x > 4           a + √x, 0 < x ≤ 4          ... more
Piecewise Function Calculus

09/24/18

Piecewise Function: Calculus

Let f(x)={ k+4x, x≤−5              { 7x2 , x>−5   Find the constant k so that f is continuous at x=−5.
Piecewise Function

09/18/18

Define a piecewise function f(x) That has an input x, An individuals taxable income and an output the amount the person owes in federal income tax

Marginal tax rate  Taxable Over  Not Exeeding 15%.                   $0.                  $35000 25%.                   $35000.          $ 100000 30%.                   $100,000        $400,000... more

Write A Piecewise Function From A Word Problem

Shipping company IPS has shipping rates that are a function of the weight of the parcel. For packages weighing less than or equal to 5 pounds, they charge $ 1 per pound. For packages weighing... more
Piecewise Function

07/18/18

Write a piecewise function for thistheir situation.

A hotel room has a special promo for their non-airconditioned room (good for 2 people). It charges 1,500 php for a maximum stay of two nights and 700 php for each additional night stay. The total... more
Piecewise Function

07/03/18

A gym charges $5/hour for the first four hours of use in a week, and a total flat rate of $20 after that.

a) Write a piecewise function that models the total cost of the gym in a week according to the number of hours spent there.   b) Write a piecewise function that models the cost/hour of the gym... more
Piecewise Function

06/16/18

The fee for hiking a guide to explore a cave is 700 pesos. A guide only take care of maximum of 4 persons,and additional guides can be hired as needed.

My homework pronlem is a piecewise function. I need to represent the cost of hiring guides as a function of the number of tourist who wish to explore the cave. 

02/22/18

Creating Piecewise Functions

A department store offers store credit, but has the following rules: for a bill less than $35 the entire amount is due, for a bill at least $35 but less than $75, the minimum due is $35, for... more
Piecewise Function Calculus Precalculus Pre Calculus

02/08/18

How do you find limits of piecewise functions?

I have a problem on limits. The graph shows two very different equations approaching the same point, but at that point (x=4) there is a hole. Below the hole there is a point at (4,2). What is the... more
Piecewise Function

01/19/18

Help with piece-wise question very confusing

Q: A tax bill is being considered that would tax the first $20,000 of an individual’s annual income at a rate of 15% and any income over $20,000 is taxed at 20%.    a. Calculate the income tax... more
Piecewise Function Math Precalculus Domain

01/09/18

Piecewise Functions Domain

Find the domain of the function. Enter your answer in interval notation.   f(x) = { x+3 if x<-1, -2x if |x| is less than or equal to 1, -2 if x>1   Help!?
Piecewise Function Algebra 2 Word Problem

12/07/17

Algebra 2 Piecewise Function Word Problem

Hello, I'm having a little trouble solving this problem: Raul works for Norwalk Parking Authority and is studying the parking rates for short term parking (up to 24 hours) in a new parking garage.... more
Piecewise Function

11/16/17

How to write a piecewise function from a story?

a lyft driver charges $5 for the first 2miles of a ride and then $1.20 for each additional mile after that
Piecewise Function Word Problem

09/14/17

Help solve my piecewise function problem?

A certain country taxes the first $19,000 of an individual's income at a rate of 15%, and all income over $19,000 is taxed at 25%. Find a piecewise-defined function T that specifies the total tax... more
Piecewise Function Word Problem

09/14/17

Please help solve my piecewise function problem?

A certain state taxes the first $500,000 in property value at a rate of 1%; all value over $500,000 is taxed at 1.75%. Find a piecewise-defined function T that specifies the total tax on a property... more
Piecewise Function

09/11/17

Write a piece-wise function to represent this situation

monthly service charge-$22.00 first 30 hours of usage -$0.00 next 50 hours of usage-$0.25/hour over 80 hours of usage-$1.00/hour  
Piecewise Function

09/02/17

Write a piecewise function T that specifies the total tax on an income of x dollars.

A certain country taxes the first $20,000 of an induviduals income at a rate of %15, and all income over $20,000 is taxed at 20%.
Piecewise Function

09/02/17

Write a piecewise function p that specifies that the amount she is paid based on h hours

Lisa makes $4 hour baby sitting before midnight and $6 per hour after midnight. She begins her job at 7 pm.
Piecewise Function

04/27/17

Find the rule of a piecewise linear function f(x) that models this data, that is a piecewise function with f(0) = 85.4, f(10)=96.1 and f(20) = 102.1

The population f(x) of one city (in thousands) was 85.4 in 1970, 96.1 in 1980, and 102.1 in 1990. Let x=0 correspond to 1970 and x=20 to 1990. Find the rule of a piecewise linear function f(x) that... more
Piecewise Function Algebra

10/27/16

Piecewise Function

A retail store buys T-shirts from the manufacturer. The cost is $7.99 per shirt for 1 to 100 shirts, inclusive. Then the price is decreased to $6.99 per shirt thereafter. Write a piecewise-defined... more

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