MHB Evaluate Piecewise-Defined Function....1

  • Thread starter Thread starter mathdad
  • Start date Start date
Click For 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 'Area of Overlapping Squares'

Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?
View full post »

Similar threads

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