Absolute Value Functions Review

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

• 2 solutions

• 1 solution

• No solution

• 4 solutions

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

• Even

• Odd

• Neither even nor odd

Tags

CCSS.HSF.BF.B.3

h(x) = |x + 1| 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

Where does the reference point (-1, 1) on the graph of f(x) = |x| map to on the graph of g(x) = -1/5 |x + 6| +4?

• (-29/5, 5)

• (-7, 19/5)

• (5, 5)

• The correct answer is not listed here

Select ALL possible intermediate steps when solving -1/2 |3x - 3| + 2 = 1?

• |3x - 3| = 2

• 3x = 5

• -3/2 x + 3/2 + 2 = 1

• -3x = -1

The solution to this inequality is

• The solution includes both i and iii

• The solution includes both iii and iv

• The solution is ii only

• There is no solution

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

• No solution

• -1 < x < 7

• -7 < x < 1

• The solution is the set of all real numbers

What is the domain?

• All Real Numbers

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

What is y = | x | ?

• A negative function.

• The absolute value parent function.

• A function with no solution.

• A function that has a vertical stretch by 2.