Solve Absolute Value Functions

What is the interval of increase for this function?
There are no arrows.

• (-6, -2)

• (-∞,+∞)

• [-6, -2]

• (-1, 3)

What is the min/max of the graph?

• min, x=-3

• max, y=-3

• min, y=-3

• max, x=-3

Solve:

• {24}

• {-6, -8}

• {16, 4}

• {24, -24}

Identify the y-intercept

• (-3, 0)

• -3

• (0,-3)

What should the first step be when solving this absolute value equation algebraically? -2|3x - 6| + 5 = 1

• Distribute -2 to 3x and -6

• Divide both sides by -2

• Add 2 on both sides

• Subtract 5 from both sides

Halfway through solving this equation, a student concluded that there is no solution because the equation looks like this: -2|3x - 6| = -4 . Is the student correct?

• Yes. An absolute value expression may not equal to a negative value. The student should stop right here and write "No Solution".

• No. The student should continue. There is one x-value that will make the equation true.

• No. The student should continue. There are two x-values that will make the equation true.

How many solutions does this equation have? ||2x + 5| - 3|=10

• 2 solutions

• 1 solution

• No solution

• 4 solutions

Solve -5|x - 3| - 5 < 15

• No solution

• -1 < x < 7

• -7 < x < 1

• The solution is the set of all real numbers

g(x) = -4|x| is an __________ function

• Even

• Odd

• Neither even nor odd

Tags

CCSS.HSF.BF.B.3

Two functions g(x) = a|x| and h(x) = |ax| have the same graphs. This statement is _____________.

• Always True

• Only true when a is positive

• Only true when a is negative

• Never True