Absolute Value Functions Transformations

Name the parent function. 

• constant

• square root

• linear

• absolute value

Find f(2)

• 3

• -2

• 2

• infinite outputs

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

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

What is the range of the function?

• - ∞ < y < ∞

• 3 ≤ y < ∞

• -4 ≤ y < ∞

• 3 ≤ y ≤ 7

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)

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

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

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

• x = 3

• x = 0

• x = -1

• x = -4