Domain
Range
Is this table/graph a function?
Interval of increasing and decreasing
Shifts and New pattern
100

Identify the domain in inequality notation. 

-2 ≤ x ≤ 2

100

Identify the range in interval notation.

[-2,-2]

100

Function? Yes or no? Explain.

NO. Fails the VLT

100

Write all the intervals of Increasing and Decreasing.


Increasing: -Infinity<x<2

Decreasing: 2<x< Infinity

100

Write the shift from the parent function and the new pattern.

f(x) = 2(x-3)^2+4

Shift- 3 units right and 4 units up.


New Pattern- 2/1   and   6/1

200

Identify the domain in interval notation.

(-4,∞)

200

Identify the range in interval notation.

[1,∞)

200

Function? YES OR NO? 

NO. The inputs of 20 and 22 have more than 1 output

200

Write all the intervals of Increasing and Decreasing.


Increasing: 3<x< Infinity

Decreasing: -Infinity<x<3

200

Write the shift from the parent function and the new pattern:

f(x) = -2|x+3|-2

Shift- 3 units left and 2 units down

New Pattern- -2/1 and -2/1

300

Identify the domain. 

All Real Numbers

300

Identify the range in inequality notation

y≥-5

300

EXPLAIN. Why is this graph a function? 

Every input has one output.  It passes the vertical line test.

300

Write all the intervals of Increasing and Decreasing

Decreasing:  -infinity < x< -4  and 2<x<infinity

Increasing: -4<x<2

300

Write the shift from the parent function and the new pattern.

f(x) = -3\sqrt(x+1)+3

Shift- 1 unit left and 3 units up.

New Pattern- -3/1    and     -3/3

400

Identify the domain in inequality notation. 

-00 < x <6

6<x<00

400

Identify the range in inequality notation. 

-4 <y<∞

-∞<y<=-6

400

You draw a vertical line through a graph and it hits 3 times.  Is it a function? Explain your response.

No, it can only hit once to be a function

400

Write all the intervals of Increasing and Decreasing.

Increasing: -2<x<0

Decreasing: 0<x<3

400

Based on the graph find the shift from the parent function and new Pattern.

Shift- 1 unit left and 1 unit down.

500

Identify the domain in inequality notation.

-6 <=x<8

500

Identify the range. 

-7 <= x<=9


500

Name one value of n that would make this NOT a function:

{(2,4), (3,5), (4,-6), (n,7)

2,3,4

500

Write all the intervals of Increasing and Decreasing.

Increasing: -6<x<-2    and  5<x<Infinity

Decreasing: -infinity<x<-6   and   3<x<5

500

Based on the following graph write the shift from the parent function and the new pattern.

Shift- 3 units left and 1 unit up.

New Pattern- -2/1   and    -6/1