Piece-Wise Functions Practice

Which equation and restricted domain match the graph shown?

State the domain and range:

• Domain: All real numbers; Range: (4, 4)

• Domain: (-5, -2); Range: All real numbers

• Domain: (-5, -2); Range: (-4, 4)

What is the point of discontinuity?

• x=1

• x=-3

• x=0

• x=2

What is the range of the given function:

• Range: all real numbers

The piecewise function g(x) defines the position of a video game character. The character’s height (vertical position) is g(x) and the character’s horizontal position is x. Both x and g(x) are measured in centimeters. Identify the domain of g(x) and explain what it means in this situation.

• (2, 6)

• [-2, 10]

• (1, 9)

• [2, 6]

The piecewise function g(x) defines the position of a video game character. The character’s height (vertical position) is g(x) and the character’s horizontal position is x. Find the value of g(4).

• -11

• 21

• 7

• 3

The piecewise function g(x) defines the position of a video game character. The character’s height (vertical position) is g(x) and the character’s horizontal position is x. Find the value of g(7) = 4. The vertical position is ______ cm and the horizontal position is ______ cm.

The piecewise function g(x) defines the position of a video game character. Both x and g(x) are measured in centimeters. What is the average rate of change on the interval [3,9]? The average rate of change is ______.

• 6

• 0

• 4/5

• 1

Use the graph of f(x), which represents the distance Sara is from home in meters over time in seconds. Find f(4).

• 16

• 9

• 8

• 4

Use the graph of f(x), which represents the distance Sara is from home in meters over time in seconds. Which equation is NOT one on the graph?

• y = 1/9 ( x - 3 ) + 10

• y = 2 (x - 0) +7

• y = 1/6 ( x - 10 ) + 3

• y= -1 (x - 2) + 11