Find Values of c and f that make h continuous

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Homework Help Overview

The problem involves determining the values of constants c and d in a piecewise function h(x) to ensure continuity at specified points. The function is defined differently for intervals of x, and continuity must be checked at the transition points x=1 and x=2.

Discussion Character

  • Mixed

Approaches and Questions Raised

  • Participants discuss taking limits of the function at the transition points and setting them equal to each other to find relationships between c and d. There is uncertainty about how to proceed after establishing the equations derived from the limits.

Discussion Status

Some participants have derived two linear equations from their evaluations but express uncertainty about solving them. There is a mix of support and frustration in the responses, indicating a range of understanding among participants.

Contextual Notes

One participant expresses concern about their ability to solve the linear equations, suggesting a potential gap in confidence or understanding of basic algebraic concepts.

Painguy
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Homework Statement


{ 2x if x<1
h(x)= { cx^2+d if 1<=x<=2
{ 4x if x>2


Homework Equations





The Attempt at a Solution


It tried taking the limit of 2x and cx^2+d at x->1 (from both sides) and set them equal to each other. I did the same for 2 as well, but i got stuck after that.
 
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What did you get after you did that??
 
After evaluating those 2 i get 2=c+d and 8=4c+d. I'm not quite sure what to do now
 
Painguy said:
After evaluating those 2 i get 2=c+d and 8=4c+d. I'm not quite sure what to do now

Are you saying that you do not know how to solve two simple linear equations in two unknowns? Have you really never, ever, seen problems like that before?

RGV
 
Ray Vickson said:
Are you saying that you do not know how to solve two simple linear equations in two unknowns? Have you really never, ever, seen problems like that before?

RGV

OH well I am blind...excuse my stupidity thank you for your help
 

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