Absolute Functions Graphing

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

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 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 stretch and a vertical translation?

• f(x) = 9|-x|  + 2
• f(x) = |¹/₂x + 3| - 7
• f(x) = -|4x + 1| + 5
• f(x) = ¹/₃|2x - 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

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

What is the range?

• -7 ≤ y ≤ 5
• -9 ≤ y ≤ 3
• -5.5 ≤ y ≤ -0.5
• -∞ ≤ y ≤ 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 maximum sales for one week?

• $40,0000

• $20,0000

• $50,000

• $10,0000

Which function is graphed?

• f(x) = 2|x - 5|
• f(x) = |x - 5|
• f(x) = |x - 5| + 5
• f(x) = |x| + 5