Arithmetic Sequences
Is the following sequence arithmetic?
3,6,9,12,15...
Yes
y-values
Absolute value functions make what shape of a graph?
V-shape
If the slope of an absolute value function is LESS than 1, does it stretch or compress your graph?
stretch
A horizontal translation moves the graph which direction?
side to side or left to right
What is the common difference of the sequence below?
5, 7, 9, 11, 13...
Plus two
Domain values represent what values?
x-values
The parent function of an absolute value graph has a slope AND vertex of what?
Slope: 1/1
Vertex: (0,0)
If the slope of an absolute value function is GREATER than 1, does it stretch or compress your graph?
Compress
A vertical translation moves the graph which direction?
up and down
Determine the next three terms in the sequence below.
6, 13, 20, 27...
34, 41, 48
Under what circumstance does a piecewise function have a closed circle when graphing?
When the inequality symbol has a line under it.
The function f(x)= |x| +3 has a translation of what?
3 units UP.
What is changing in the function f(x)= 5\2 |x|?
The slope from 1\1 to 5\2
A negative slope of an absolute value function opens the graph up or down?
down
Write an equation for the nth term of the arithmetic sequence.
-2,-4,-6,-8,-10...
An= -2 + (n-1)-2
A piecewise function has an open circle when graphing if the inequality symbol ________ have a line under it.
does not
The function f(x)= |x+5| has a translation of what?
5 units LEFT
Does the graph of the function f(x)= |2x| open upward or downward? How do you know?
Upward-- positive slope
The function f(x)= |-1/2x| has a slope of what?
Positive 1\2
Find the 18th term of the arithmetic sequence.
-2,-4,-6,-8,-10...
-36
The "domain" of piecewise functions are always ____ _________ __________.
All real numbers
The function f(x)= |x-2| -3 has a translation of what?
2 units RIGHT and 3 units DOWN
Explain the transformations taking place in the function f(x) = -2|x+4| +5
Slope of -2\1, Left 4 units, up 5 units
Absolute value is always ______. Why?
Positive because it is measuring a number's distance from zero.