Calculus Prelim Summative Test

dom(f) ⋃ dom(g)

dom(f) ⋂ dom(g)

dom(f) x dom(g)

dom(f)\dom(g)

A. M

B. $$\frac{1}{M}$$

C. $$\frac{1}{g\left(M\right)}$$

D. g^-1(M)

Greatest Integer Functions

Linear Functions

Split Functions

Transcendental Functions

Linear function

Polynomial function

Rational function

Transcendental function

mx - b

x - b

m(x - b)

$$\frac{x-b}{m}$$

$$0\times\infty$$

$$c\times\infty$$ for some constant
c < 0

$$\infty+c$$ for some constant
c > 0

$$\frac{\infty}{-\infty}$$

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.

Domain

Codomain

Range

Inverse

Set of all negative numbers

Set of all positive numbers

{-1,0,1}

All Real numbers

$$\lim_{b\ right}f\left(x\right)$$

$$\lim_{x\rightarrow b}f\left(x\right)$$

$$\lim_{x\rightarrow b^-}f\left(x\right)$$

$$\lim_{x\rightarrow b^+}f\left(x\right)$$