Performance Task: Construct and Analyze Piecewise Functions — Unit test Answers

Which describes the range of the parent absolute value function?

The graph of f(x) = |x| is transformed to g(x) = |x + 1| – 7. On which interval is the function decreasing?

What is the vertex of the graph of f(x) = |x + 3| + 7?

Nina graphs the function y=⌊x⌋ to learn the properties of the parent floor function.What is the value of y when x=5.7?

If g(x) = 2 − 1, what is g(−2.3)?

The table can be used to determine the solution to the system of equations, 2y − x = 8, and y − 2x = −5.Which solution can be used to fill in both blanks in the table?

A system of equations has infinitely many solutions. If 2y – 4x = 6 is one of the equations, which could be the other equation?

If f(x) = , what is f(7.6)?

Which statements about the system are true? Select two options.y = x – 43y – x = –7The system has one solution. The system consists of parallel lines.Both lines have the same slope. Both lines have the same y–intercept.The equations represent the same line.

The step function g(x) is defined as shown.g(x) = What is the range of g(x)?

On a coordinate plane, a dashed straight line has a negative slope and goes through (0, 3) and (2, negative 1). Everything to the left of the line is shaded.

Before any dinner service, the manager confirms when the number of reservations at a restaurant is subtracted from twice the number of loaves of bread on hand must be greater than 5. Which graph represents the overall equation represented by this scenario (all points may not apply to the scenario)?

A rectangular bird feeder costs $18.00. A cylindrical bird feeder costs $24.00. The expected cost to keep the rectangular bird feeder filled is $3.00 per week. The expected cost the keep the cylindrical bird feeder filled is $2.00 per week. The equation below models the break-even point.18 + 3x = 24 + 2x What does x represent?

All points of the step function f(x) are graphed.

The solution to the system of equations shown is (2, 0).3x − 2y = 6 x + 4y = 2When the first equation is multiplied by 2, the sum of the two equations is equivalent to 7x = 14.