unit 2 quiz!!!!

Question 1

linear function

Answer 1

y= mx +b, domain & range both (-infinity, infinity)

Question 2

quadratic function

Answer 2

ax2 + bx + c, domain (-infinity, infinity) and range dependent on which way parabola faces [min, infinity) or (-infinity, max]

Question 3

absolute value function

Answer 3

y = abs. x, domain (-infinity, infinity) and range [min, infinity) or (-infinity, max]

Question 4

constant function

Answer 4

y #= k, domain (-infinity, infinity), range = k

Question 5

square root function

Answer 5

y= square root of x, domain and range BOTH [0, infinity)

Question 6

cubic function

Answer 6

y= x cubed, domain and range BOTH (-infinity, infinity)

Question 7

reciprocal function

Answer 7

y = 1/x, domain = x is NOT equal to zero {x|x =/= 0}, range y is NOT equal to zero (-infinity, 0) V (0. infinity)

Question 8

exponential function

Answer 8

y= a to the xth power, domain= (-infinity, infinity), range = (0, infinity)

Question 9

f(x) + a

Answer 9

shift up a

Question 10

f (x +a)

Answer 10

shift left a

Question 11

f(x) -a

Answer 11

shift down a

Question 12

f(x-a)

Answer 12

shift right a

Question 13

y= -f(x)

Answer 13

reflection over x axis

Question 14

y= f(-x)

Answer 14

reflection over y axis

Question 15

y= -f(-x)

Answer 15

reflection over the origin

Question 16

y = -f(-x) reflection over the origin is the same as

Answer 16

rotation of 180 degrees

Question 17

ORDER OF TRANSFORMATIONS!! IMPORTANT

Answer 17

1) LEFT/RIGHT
2) REFLECTIONS, STRETCH/SHRINK
3) UP/DOWN

Question 18

stretching of the graph AWAY from the x axis

Answer 18

vertical stretch

Question 19

squeezing the graph towards the x axis

Answer 19

vertical compression

Question 20

a > 1

Answer 20

vertical stretch and horizontal compression notation

Question 21

0 < a < 1

Answer 21

vertical compression and horizontal stretch notation

Question 22

stretching of the graph away from the y-axis

Answer 22

horizontal stretch

Question 23

squeezing of the graph towards the y- axis

Answer 23

horizontal compression

Question 24

• For horizontal stretches/compression, multiply x–values in table by their reciprocal

Question 25

measurement of how fast a function changes on average over a certain domain interval

Answer 25

average rate of change

Question 26

change in output/change in input (like slope formula)

Answer 26

formula for average rate of change

Question 27

*the domain and range of linear functions are all real numbers or (-infinity, infinity) except for vertical/horizontal lines

Question 28

vertical stretch (graph away from x axis) /compression )graph towards x axis) f (5x) or f (1/5x) are characterized by the change i a y value- if it’s higher it’s a stretch, it it’s lower it’s a compression

Question 29

horizontal stretch (graph away from y axis_ and compression (graph towards the y axis) are characterized by the change in an x value- if it’s higher it’s a stretch, if it’s lower it’s a compression

Question 30

*always simplify where you can in the equation ex. (-x)2 is x2 and it must be written as such

Question 31

when asked to list the transformations/graphing transformations do them in order

Question 32

if you have to reflect over the origin, negate both values because it’s the same as a reflection over 180 degrees