Piecewise Defined Functions

The graphs of f(x) and g(x) are shown. How do the ranges of f(x) and g(x) compare?

• Both functions have the same range.

• Both functions have 4 as a value in the range.

• Both functions have 0 as a value in the range.

• Both functions have a range of all real numbers.

What is the domain restriction of the blue piece of this function?

• x > 0

• x ≥ 0

• x > 2

• x ≥ 2

How many "pieces" are graphed in this function?

• 1

• 2

• 3

• 4

Find f(2).

• f(2) = 0

• f(2) = 1

• f(2) = 3

• f(2) = 4

What is f(-12)?

• 7

• 204

• -48

• -84

The graph of f(x) is shown. What is the slope of the segment of f(x) with the greatest rate of change?

• 1/6

• 3/5

• 5/5

• 6/1

Which graph matches the function:
y = -2|x - 3| + 5

• A

• B

• C

• D

What is the vertex of the following function?
y=2|x-3|+1

• (2,3)

• (-3,1)

• (2,-3)

• (3,1)

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 domain interval for the green piece of this function?

• -2 < x ≤ 1

• -1 < x ≤ 0.5

• x > -2

• x ≤ 1