Absolute Value Graphing Easy

Choose the correct equation for the graph below.

What is the DIFFERENCE between the absolute value of point X and the absolute value of point Z?

• 14

• 4

• 0

• 2

The function
 ^{f(t) = -2|t - 15| + 50}
is graphed and represents weekly sales of shoes, f(t) in $1000s, where t is weeks. What is the range for this graph?

• 20 ≤ f(t) ≤ 50

• 0 ≤ f(t) ≤ ∞

• 0 ≤ f(t) ≤ 50

• -∞ ≤ f(t) ≤ 50

Which function is graphed?

• f(x) = 2|x + 2| -4

• f(x) = 2|x - 4| + 2

• f(x) = |x + 2| - 4

• f(x) = -2|x - 4|

Which function is graphed?

• f(x) = -|2x - 3| + 5

• f(x) = -|x + 5| - 3

• f(x) = -|2x + 6| + 5

• f(x) = -2|x + 5| - 3

Which function is graphed?

• f(x) = 2|x - 5|

• f(x) = |x - 5|

• f(x) = |x - 5| + 5

• f(x) = |x| + 5

The function
 ^{f(t) = -2|t - 15| + 50}
is graphed and represents weekly sales of shoes, f(t) in $1000s, where t is weeks. What is the domain for this graph?

• 0 ≤ t ≤ 40

• 0 ≤ t ≤ ∞

• 20 ≤ t ≤ 40

• -∞ ≤ t ≤ 50

Which function shows horizontal translation and a vertical stretch?

• f(x) = -2|-x | 

• f(x) = -3|x| - 7

• f(x) = -|-x + 1| + 4

• f(x) = 5|x - 4| - 1

Which function shows a horizontal  and vertical reflection?

• f(x) = -3|-x + 1| + 4

• f(x) = -|x - 1| + 4

• f(x) = 3|-x + 1| + 4

• f(x) = -3|x - 4| + 1

What is the range?

• -7 ≤ y ≤ 5

• -9 ≤ y ≤ 3

• -5.5 ≤ y ≤ -0.5

• -∞ ≤ y ≤ 5