Algebra 2 Absolute Value

|3x - 9| = x + 1

• c = -5, 2

• c = 2, 5

• c = 5, -2

• c = -2, -5

∣ 2x + 9 ∣ = 15

• x = 3 

• x = 3
  x = -6

• x = 3
  x = -12

• x = 6
  x = -12

Solve |x – 12| - 3 = 11.

• -2, -26

• -2, 26

• 3, 25

• 4, -7

• 2,6

• -2,-6

• -6,2

• -2,6

What is the reason that absolute value is always written as a positive?

• Absolute value is talking about numbers so it must be positive.

• Absolute value does not always have to be positive.

• Absolute value is like a clock it has only positive numbers.

• Absolute value is talking about distance from zero, distance is always measured by positive numbers.

An absolute value can NOT equal...

• a positive number

• a negative number

• a fraction

• an integer

|−4 + 5x| = 16

• {16/5,12/5}

• {4,-5}

• {-12/5, 4}

• 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 domain of the absolute value function?

• (4, 0)

• (0, 4)

• (-infinity, infinity)

• [4, infinity)

What is the equation of the graph below? You can click the picture to zoom in!

• f(x) = I x + 2 I 

• f(x) = I x  I + 2

• f(x) = I x  I - 2

• f(x) = I x - 2 I