Absolute Value Functions

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

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.B.5

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 is graphed?

• f(x) = 2|x + 2| -4
• f(x) = 2|x - 4| + 2
• f(x) = |x + 2| - 4
• f(x) = -2|x - 4|

Tags

CCSS.HSF-IF.C.7D

What is the range?

• -7 ≤ y ≤ 5
• -9 ≤ y ≤ 3
• -5.5 ≤ y ≤ -0.5
• -∞ ≤ y ≤ 5

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Which function is graphed?

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

Tags

CCSS.HSF-IF.C.7D

What is the vertex of the absolute value function?

• (4, 0)
• (0, 4)
• (-infinity, infinity)
• [4, infinity)

Tags

CCSS.HSF-IF.C.7D

What is the equation of the absolute value function?

• f(x)= |x+4|
• f(x)= |x-4|
• f(x)= |x| + 4
• f(x)= |x| - 4

Tags

CCSS.HSF-IF.C.7D

Describe the transformation from the Absolute Value Parent Function.

• Shift up 4 units
• Shift down 4 units
• Shift left 4 units
• Shift right 4 units

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

What is the equation of the absolute value function?

• f(x)= 4|x+3|
• f(x)= 1/4 |x+3|
• f(x)= 1/4 |x - 3|
• f(x)= 4|x - 3|

Tags

CCSS.HSF-IF.C.7D

Describe the transformations of the absolute value equation.

• Flips to A shape, compresses wider, shifts right 1 unit
• Flips to A shape, compresses wider, shifts up 1 unit
• Flips to A shape, stretches more narrow, shifts right 1 unit
• Flips to A shape, stretches more narrow, shifts up 1 unit

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2