Calculus Prelim Summative Test

Let f and g be real-valued functions. What is the domain of f+g?

• dom(f) ⋃ dom(g)

• dom(f) ⋂ dom(g)

• dom(f) x dom(g)

• dom(f)\dom(g)

• A. M

• D. g^-1(M)

What are real-valued functions whose values are defined by parts?

• Greatest Integer Functions

• Linear Functions

• Split Functions

• Transcendental Functions

Which term refers to any function that CANNOT be expressed as a finite combination of mathematical operations?

• Linear function

• Polynomial function

• Rational function

• Transcendental function

• mx - b

• x - b

• m(x - b)

What is the general form of a polynomial function f(x)?

• f(x) = sin 2x + cos 2x

• f(x) = e^x

• f(x) = a_n x^n + a_{n-1} x^{n-1} + ... + a_1 x + a_0

• D.

What is the set of all possible elements in which the rule of pairing of a function applies?

• Domain

• Codomain

• Range

• Inverse

• Set of all negative numbers

• Set of all positive numbers

• {-1,0,1}

• All Real numbers

Let f be a function defined at every number in some open interval (b,c). Which of the following is the notation for the limit of f(x) as x approaches b from the right?