Piecewise Defined Functions

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The phone carrier charges $35 for unlimited talk and text for each phone line and $10 for data usage of 2 gigabytes or less. If data usage exceeds 2 gigabytes there is an additional charge of $15 for each gigabyte to 4 gigabytes and $20 per gigabyte for usage greater than 4 gigabytes. Which of the following functions can be used for this scenario?

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• The graph is a continuous function.

• Samuel charges $135 for 11000 square feet.

• Samuel makes $14 for every square foot he mows.

• 1300 square feet will cost $120

• The domain of the increasing interval is (8, infinity)

• f(x) is vertically compressed by 1/2 in g(x)

• f(x) is translated 3 units to the right and 1 unit down in g(x)

• The y-intercept of g(x) is -2

• The vertex of g(x) is (-3,-1)

• The x-intercepts of g(x) are (-5,0) and (-1,0)

• The graph is a continuous function.

• The decreasing interval is quadratic.

• The x-intercept is 0.

• f(3) has no value

• The domain of the increasing interval is [3, infinity)

• g(x) = -f(x + 3)

• g(x)= -f(x - 3)

• g(x)= -f(x) + 3

• g(x)= -|x| + 3

• g(x) = | -x + 3|

• { 0, 2, 4, 6, 8}

• {-2, -4, -6, -8}

• {2, 4, 6, 8}

• {-3, -2, -1, 1}

• ( -infinity, infinity) , { x | x=all real numbers}

• ( -infinity, -2] , { x | x<= -2}

• ( -2, infinity) , { x | x> -2}

• [ -2, infinity) , { x | x>= -2}

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• Yes, because 4 is included in some portion of the domain.

• Yes, because they cross the y-axis at different points.

• No, because both of the portions of the function are decreasing.

• No there is a gap between the quadratic and the linear function.