Week 1

Question 1

Domain and Range

Answer 1

The set of input values, and the set of all values of F through domain respectively.

Question 2

Piecewise function

Answer 2

A function defined using different formulas for different sections of domain

Question 3

Even function

Answer 3

f(x) = f(-x)

Question 4

Odd function

Answer 4

f(-x) = -f(x)

Question 5

P ⇒ Q

Answer 5

if P then Q, Q if P, P only if Q

Question 6

Proof by contradiction

Answer 6

if not P leads to Q, and Q is obviously false, then P is true

Question 7

There exists and for all quantifier symbols

Answer 7

∃ and ∀