Functions

Question 1

transformation of f (x) + a?

Answer 1

translation 0i + aj

Question 2

transformation f (x+a)?

Answer 2

translation -ai + 0j

Question 3

transformation k f (x)?

Answer 3

stretch in y direction, SF k

Question 4

transformation f (k x)?

Answer 4

stretch in x direction SF 1/k

Question 5

transformation - f (x)?

Answer 5

reflection in x axis

Question 6

transformation f (-x)

Answer 6

reflection in the y axis

Question 7

how do you describe a translation (exam)?

Answer 7

word translation followed by a column vector

Question 8

how do you describe a stretch or squash (exam)?

Answer 8

word stretch, followed by stretch factor: (…) then direction

Question 9

how do you describe a reflection (exam)?

Answer 9

word reflection followed by eq. of reflection line or axis name

Question 10

what is a mapping?

Answer 10

any rule which assigns an input to an output
(eg. y = x+3)

Question 11

what is the domain?

Answer 11

set of possible inputs (x values)

Question 12

what is the range?

Answer 12

set of all possible outputs (y values)

Question 13

what is an input/object?

Answer 13

x value put into function

Question 14

what is an output/image?

Answer 14

y value given from a function

Question 15

what is a one to one?

Answer 15

one input gives one outrput, one output comes from one input

Question 16

what is a many to one?

Answer 16

more than one input gives a particular output

Question 17

what is a one to many?

Answer 17

one input gives many outputs

Question 18

what is a function?

Answer 18

a mapping that is one-one or many-one. cannot be one-many

Question 19

what is continuity?

Answer 19

function is continuous if it has no breaks

Question 20

what is a piecewise?

Answer 20

a single funtion which has different rules for different parts of its domain

Question 21

what are examples of mapping graphs?

Answer 21

Question 22

what are end points?

Answer 22

if the domain is restricted, these are the points at the end of an interval

Question 23

how do you deal with a piecewise function?

Answer 23

“chop it up” and apply the functions to the specified areas of the domain

Question 24

what is a composite function?

Answer 24

a function of a function (ie. putting the inside function into wherever theres an x in the outside function