ch 3

functions and function notation

100

x   -1   0   1   2

y   6    5    9   14

Is the relation a function? If it is, is it linear?

function, not linear

200

y=-2x+3

Is the relation a function? If it is, is it linear?

function, linear

300

x=-2

Is the relation a function? If it is, is it linear?

not a function

400

(0, 1), (5, 6), (7, 9)

yes this is a function, non linear

500

Evaluate f(x) = 3x − 9 when x = 2

-3

domain and range

100

Look at graph A, that Ms. M puts on the board. Is the domain discrete or continuous?

continuous

200

Look at graph B, that Ms. M puts on the board. Is the domain discrete or continuous?

discrete

300

Look at graph A, that Ms. M puts on the board. What is the domain?

All Real Numbers

400

Look at graph A, that Ms. M puts on the board. What is the range?

All real numbers

500

Look at graph B, that Ms. M puts on the board. What is the range?

{-2,-1,0,1,2,3}

x- and y- intercepts

100

2x-3y=6

What is the x-intercept?

3

200

2x-3y=6

What is the y-intercept?

-2

300

y=4.5

What is the x-intercept?

no x-intercept

400

y=4.5

What is the y-intercept?

4.5

500

y=|x-1|-2

What are the x-intercepts?

-1,3

slope and slope intercept form

100

                                                                   −5x+y=−10

    What is the slope?

5

200

−5x+y=−10

  What is the y-intercept?

-10

300

 x+3y=9

What is the slope?

-1/3

400

     x+3y=9

What is the y-intercept?    

3

500

      2x−3y=6

What is the slope and the y-intercept?    

m=2/3

b=-2

transformations

100

f(x) = x; g(x) = x + 3

What is the transformation    

vertical translation 3 up

200

f(x) = x; g(x) = −x 

reflection over the x-axis

300

f(x) = ∣ x ∣; g(x) = ∣2x + 4|

horizontal translation 4 left

400

f(x) = ∣ x ∣; g(x) = ∣2x∣

Horizontal shrink by 1/2

500

f(x) = ∣ x ∣; g(x) = ∣2x + 4∣

horizontal translation 4 left,

Horizontal shrink by 1/2