math 2: parametric equations & piecewise funcitons

Question 1

(ch 10) parametric equation:

Answer 1

x= x(t), y = y(t)

Question 2

piecewise functions are defined by different equations on

Answer 2

different parts of their domain

Question 3

absolute value functions: |x| =

Answer 3

{x if x ≥ 0

{-x if x

Question 4

general absolute value function has the form

Answer 4

f(x) = a|x-h| + k

Question 5

h delineates the domain of all real numbers into

Answer 5

2 parts

Question 6

the values are the slopes of the sides

Answer 6

a

Question 7

step functions are constant over different parts of their domain, so that their graphs consist of

Answer 7

horizontal segments

Question 8

greatest integer function is an example of

Answer 8

the step function

Question 9

if x is an integer →

Answer 9

[x] = x

Question 10

if x isn’t an integer [x] is the

Answer 10

largest integer less than x