Lecture 4: Linear and Quadratic Functions

Question 1

functions

Answer 1

• a way to assign each number x of a set to a unique number f(x) of another set

Question 2

domain

Answer 2

all allowable values of x is domain

Question 3

range

Answer 3

all values of f(x) for x in the domain is range

Question 4

natural domain

Answer 4

• if the domain of a function is not stated, then it is always taken to be the largest set of numbers for which the function is defined

Question 5

functions as formulas

Answer 5

• functions are described by formulas, which are algebraic expressions of x

Question 6

vertical line test

Answer 6

to check if the given curve is a graph of function we apply the vertical line test
- a curve in the cartesian plane is the graph of a function if and only if no vertical line intersecs the curve at more than one point

Question 7

linear function

Answer 7

f(x) = mx + b

Question 8

quadratic functions

Answer 8

f(x) = ax^2 + bx + c