Domain/Range
Evaluate functions / Find points
Describe the new Transformation
Evaluate Piecewise Function
Graph Characteristics/Vocab
100

What is the domain and range of the graph?

Domain: [-4,3]

Range:[-4,3]

100

Evaluate: 

F(-2) = 3x + 5

f(-2) = -1

100

Describe the new transformation from the parent function (black) to the dotted transformation.


f(x) + 4

Moves up 4


100

Evaluate for f(4).

f(4) = 6

100

Define x-intercepts AND identify what point(s) display the x intercepts on the graph below

x-intercept is where the graph crosses the x-axis 

AND

A, C, E

200

What is the domain and range of the function?

Domain: [-3,9)

Range: [-2,6)

200

Evaluate f(8) = x2 - x - 6 

f(8) = 60 

200

Describe the new transformation from the parent function (black) to the dotted transformation.


f(x+5) + 4

(i.e. Moves 5 left and 4 up )


200

Evaluate for f(-2)


f(-2) = -3

200

Define local maximum AND identify what point(s) represents the local max of the graph? 

Local max is a coordinate point on the graph where all surrounding points are lower than that point. (i.e. highest point in a general area)

AND

D

300

What is the domain and range of the following graph?

Domain: [-5,3)

Range: [0,2]

300

For the graph of the function f(x), there is a point (-5, 8), please find the new point for the given transformation:

-f(x-1) + 5

(-4,-3)

300

Describe the new transformation from the parent function f(x) (red) to the g(x) (blue) transformation.

g(x) = -(x+1) +3


moved up 3, left 1, & Reflected over the x axis.

300

Evaluate for f(2) :


f(2) = 3


300

Define local minimum AND identify what point(s) represent the local minimum of the graph? 

Local minimum is a coordinate point on the graph where all surrounding points are higher than that point. (i.e. lowest point in a general area)

AND

B & E

400

What is the domain and range of the graph?


Domain: (-inf, inf)

Range: (-inf, inf)

400

For the graph of the function f(x), there is a point (-5, 8), please find the new point for the given transformation:

-3f(-x) + 2

(5,-22)

400

Describe the new transformation from the parent function (black) to the dotted transformation.

f(1/4x)

Goes up slower / Stretched horizontally

multiplied by a number lower than 1 higher than zero. 

400

Evaluate for f(7) 



f(7) = 9/2 or 4.5 

400

Define asymptote and identify what is the asymptote of this function?

asymptote is a value that the graph will continue towards but never reach. 

AND

There is no asymptote for this graph. 

500

What is the domain and range?

Domain: (-5, 1]

Range: [-1,15]


500

For the graph of the function f(x), there is a point (0, 0), please find the new point for the given transformation:

-f(-x + 2) - 3

(-2,-3)

500

What is the parent function of the following graph & what is the function of the new graph transformed across the coordinate plane? 


Parent function: F(x) = sqrt (x)

Transformed function: F(x) = sqrt (x+1) - 3

500

Evaluate f(1.5):


f(1.5) = 0


500

DEFINE Domain AND

What is the domain of this function?

Domain is the set of all x coordinates in a function

AND

Domain - All real numbers

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