Absolute Value Functions Transformations

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

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

Which transformation describes the change from black to blue?

• f(x - 2) + 4

• f(x - 4) + 2

• f(x - 5) + 6

• f(x + 5) - 6

Determine the transformation

• Left 5, up 1

• Left 5, down 1

• Right 5, up 1

• Right 5, down 1

Determine the transformation

• down 2

• flip, down 2

• flip, left 2

• left 2

Determine the transformation 

• left 3, up 2

• right 3, up 2

• left 3, down 2

• right 3, down 2