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