MHB Evaluate Piecewise-Defined Function....1

  • Thread starter Thread starter mathdad
  • Start date Start date
AI Thread Summary
The discussion focuses on evaluating a piecewise-defined function with two segments: y = -x^2 for -2 < x ≤ 0 and y = x/2 for 0 < x ≤ 4. When x = 0, the upper piece yields y = 0, and when x = 4, the bottom piece gives y = 2. The evaluations are confirmed to be correct. The poster expresses satisfaction with the accuracy and plans to share more questions from a precalculus textbook in the future.
mathdad
Messages
1,280
Reaction score
0
The following function is a piecewise-defined function.

y = -x^2 if -2 < x ≤ 0...upper piece
y = x/2 if 0 < x ≤ 4.. bottom piece

Evaluate when x = 0 and x = 4.

Solution:

For x = 0, we evaluate the upper piece.

y = -(0)^2

y = 0

For x = 4, we evaluate the bottom piece.

y = 4/2

y = 2

Is this correct?
 
Mathematics news on Phys.org
Yes, this is correct.
 
It feels good to be correct. More questions will be posted tomorrow as I travel through David Cohen's precalculus textbook.
 

Thread 'Trigonometry problem of interest'

Seemingly by some mathematical coincidence, a hexagon of sides 2,2,7,7, 11, and 11 can be inscribed in a circle of radius 7. The other day I saw a math problem on line, which they said came from a Polish Olympiad, where you compute the length x of the 3rd side which is the same as the radius, so that the sides of length 2,x, and 11 are inscribed on the arc of a semi-circle. The law of cosines applied twice gives the answer for x of exactly 7, but the arithmetic is so complex that the...
View full post »

Thread 'Six Pencil Puzzle'

Is it possible to arrange six pencils such that each one touches the other five? If so, how? This is an adaption of a Martin Gardner puzzle only I changed it from cigarettes to pencils and left out the clues because PF folks don’t need clues. From the book “My Best Mathematical and Logic Puzzles”. Dover, 1994.
View full post »

Similar threads

MHB Evaluate Piecewise-Defined Function....2
Replies
2
Views
1K
MHB Piecewise-defined Function....1
Replies
4
Views
1K
MHB Piecewise-defined Function....2
Replies
4
Views
1K
MHB Find x- and y- Intercepts....2
Replies
2
Views
1K
MHB What is the Sum of x, y, and z in a Non-Negative Real Number System?
Replies
4
Views
1K
I Finding the Largest (or smallest) Value of a Function - given some constant symmetric errors
Replies
3
Views
1K
B Can We Simplify the Taylor Series Expansion for e^(f(x,y))?
Replies
3
Views
2K
MHB How Can You Rewrite an Equation to Express y as a Function of x?
Replies
3
Views
1K
I A doubt about the multiplicity of polynomials in two variables
Replies
8
Views
2K
I Partial Differential Equation solved using Products
Replies
2
Views
2K

Hot Threads

Recent Insights

Back
Top