Absolute Value Function Graphs and Transformations

Which graph represents the parent function of an Absolute Value?

• Black

• Blue

• Orange

• Red

Which function defines the graph?

• f(x) = |x - 4| + 3

• f(x) = |x - 3| + 4

• f(x) = |-x + 4| + 3

• f(x) = |x + 4| + 3

Tags

CCSS.HSF-IF.C.7D

What is the range of the function?

• - ∞ < y < ∞

• 3 ≤ y < ∞

• -4 ≤ y < ∞

• 3 ≤ y ≤ 7

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

What is the range of the function:

f(x) = -2|x - 5| + 7

• - ∞ < y < ∞

• - ∞ < y ≤ 7

• 7 ≤ y < ∞

• -5 ≤ y ≤ 7

Which function has the greater maximum value?

• f(x)

• g(x)

Tags

CCSS.HSF-IF.C.7B

Which of the following is true when

x = -2

• f(x) > g(x)

• f(x) < g(x)

• f(x) = g(x)

• f(x) + g(x) = 0

Tags

CCSS.HSF-IF.C.7B

Which of the following is true when

x = 20

• f(x) > g(x)

• f(x) < g(x)

• f(x) = g(x)

• f(x) + g(x) = 0

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

What is the solution for f(x)=g(x)?

• x = 3

• x = 0

• x = -1

• x = -4

Which function defines the graph?

• f(x) = -2|x - 3| + 4

• f(x) = -2|x - 4| + 3

• f(x) = -|2x + 3| + 4

• f(x) = -|2x - 3| + 4

Tags

CCSS.HSF-IF.C.7D

Which transformation describes the change from black to blue?

• -½ f(x - 2) + 5

• -f(x - 2) + 5

• -f(x + 5) + 2

• -f(x - 5) + 2