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MST 111 Wake Forest Final Exam Definitions, Theorems, and Shape Formulas Actual Questions And Correct Detailed Answers. CA$19.59   Add to cart

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MST 111 Wake Forest Final Exam Definitions, Theorems, and Shape Formulas Actual Questions And Correct Detailed Answers.

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Function - correct answer A rule that assigns "x" exactly one element called f(x). Lines - correct answer y=mx+b m=(y2-y1)/(x2-x1) Polynomial - correct answer A monomial or a sum or ...

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  • November 1, 2024
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MST 111 Wake Forest Final Exam
Definitions, Theorems, and Shape
Formulas

Function - correct answer A rule that assigns "x" exactly one element called f(x).



Lines - correct answer y=mx+b m=(y2-y1)/(x2-x1)



Polynomial - correct answer A monomial or a sum or difference of monomials



Rational Function - correct answer a ratio of polynomials



Power Function - correct answer y=ax^b



Algebraic Function - correct answer A function with values that are obtained by
adding, subtracting, multiplying, or dividing constants and the independent variable or raising the
independent variable to a rational power.



Trig Functions - correct answer Functions with SOH CAH TOA



Exponential Functions - correct answer y=b^x



One-Sided Limit - correct answer The Y value a function approaches from either the
left or right side of an X value



Infinite Limit - correct answer If f is defined for all x near a, and f(x) grows arbitrarily
large for all x sufficiently close (but not equal) to a, then

lim x→a f(x) = ∞ (or -∞)

, The limit does not exist



The dependent variable becomes arbitrarily large in magnitude as the independent variable approaches
a finite number

lim x→L f(x) ∞



Has a VA



Sum Law - correct answer The limit of a sum is the sum of the limits



Difference Law - correct answer The limit of a difference is the difference of the
limits



Constant Multiple Law - correct answer The limit of a constant times a function is
the constant times the limit of the function.



Product Law - correct answer The limit of a product is the product of the limits



Quotient Law - correct answer The limit of a quotient is the quotient of the limits.
The denominator must have a non-zero digit



Power Law - correct answer The limit of a positive integer power of a function is the
power of the limit of the function.



Squeeze Theorem - correct answer If f(x) ≤ g(x) ≤ h(x) for all x ≠ a and limx→a f(x) =
limx→a h(x) = L, then

limx→a g(x) = L



Continuity - correct answer A function is continuous at a number if limx→a f(x) =
f(a). If the limit can be computed by direct substitution, then the function is continuous.

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