Absolute Value

Question 1

How many integer values satisfy abs(x+k)<

Answer 1

1. -y<>-y

4. -y<

Question 2

For which statement is abs(x+k)<0

Answer 2

Trick question. abs≠<0

Question 3

Min value for x: q (given)
Max value for x: w (given)
Write an absolute value for the situation where x cannot be less than q or greater than w

Answer 3

1. Find midpoint (mean) of q and w
2. Find the difference between the midpoint and q and w and write it in absolute value
3. abs(x-(midpoint of q and w))≤abs(the difference between the midpoint and q and w)because (the difference between the midpoint and q and w) is the acceptable difference from midpoint)

Question 4

Graphically describe the difference between f(x) and abs(f(x))

Answer 4

all the (-) y values of f(x) reflects over the x-axis when the abs(f(x)) is taken

Question 5

Describe how abs(x) is different from abs(x-k)+h

Answer 5

1. it moves h values up (if h>0) or h values down (if h<0)

2. it moves k values right (if k>0) and k values left (if k<0)