Math Problem Statement
Solution
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Math Problem Analysis
Mathematical Concepts
Continuity
Polynomial Functions
Rational Functions
Trigonometric Functions
Exponential Functions
Formulas
f(x) = 4x² - 2x + 1
g(x) = 1 / (x³ + 3x² - 2x - 5)
h(x) = cos(πx)
k(x) = 1 / e^x
Theorems
Polynomial functions are continuous
Rational functions are continuous except where the denominator is zero
Trigonometric functions are continuous
Exponential functions are continuous
Suitable Grade Level
Grade 11-12, Early College