Piecewise Functions Absolute Value and Inverse

• absolute value

• reflection

• line of reflection

• argument of a function

A ___________________ is a function that can be represented by more than one function, each of which corresponds to a part of the domain. To write it, write the equation and domain for each piece of the function. 

• piecewise function

• equivalent compound inequality

• linear absolute value inequality

• linear absolute value equation

A __________________________ is a function that can be represented by linear functions only, each of which corresponds to a part of the domain.

• quadratic piecewise function

• exponential piecewise function

• linear piecewise function

• complex piecewise function

What type of function is shown?

• rational function

• inverse function

• piecewise function

• constant function

Which function is graphed?

• f(x) = 2|x + 2| -4

• f(x) = 2|x - 4| + 2

• f(x) = |x + 2| - 4

• f(x) = -2|x - 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 equation of the graph below?

• f(x) = I x + 2 I 

• f(x) = I x + 2 I +2

• f(x) = I x - 2 I +2

• f(x) = I x - 2 I 

What is the equation of this graph?

• y=2|x-3|+1

• y=2|x-1|+3

• y=-2|x-1|-3

• y=-2|x-1|+3

What is the equation of the graph below?

• f(x) = I x + 2 I 

• f(x) = I x + 2 I +2

• f(x) = I x - 2 I +2

• f(x) = I x - 2 I 

What is the equation of the graph below?

• y = - | x + 2| + 4

• y = | x - 2| - 4

• y = - | x - 2| + 4

• y = | x - 2 | + 4