What is the main goal when determining the value of C in a piecewise function?

Intersection of Functions and Continuity

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Mathematics
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9th - 12th Grade
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Hard

Lucas Foster
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10 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
To make the function differentiable everywhere
To make the function continuous everywhere
To make the function integrable everywhere
To make the function periodic
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What are the two types of functions involved in the piecewise function discussed?
Trigonometric and polynomial
Quadratic and linear
Exponential and logarithmic
Rational and irrational
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why is it important to graph the quadratic and linear functions without domain restrictions?
To determine the slope of the line
To find the maximum and minimum points
To understand how they intersect and ensure continuity
To calculate the area under the curve
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does it mean for a function to be continuous everywhere?
The function has a constant slope
The function has no breaks or holes
The function is always increasing
The function is always decreasing
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What are the two values of C that make the piecewise function continuous?
C = -1 and C = 4
C = -2 and C = 2
C = 0 and C = 3
C = -3 and C = 1
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How can the values of C be determined algebraically?
By setting the quadratic and linear functions equal and solving
By differentiating the functions
By integrating the functions
By finding the derivative of the functions
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What equation is solved to find the intersection points of the quadratic and linear functions?
x^2 - 3x + 4 = x + 1
x^2 - 3x + 4 = x - 1
x^2 + 3x - 4 = x + 1
x^2 + 3x - 4 = x - 1
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