Step Functions — Unit test Answers

Which of the following is the graph of f(x) = 3|x – 4| + 1?

Which graph shows the solution to the inequality ?

Which statement best compares the graphs of and ?

Which of the following describes the graph of ?

A function is graphed on a coordinate grid. As the domain values approach infinity, the range values approach infinity. As the domain values approach negative infinity, the range values approach negative infinity. To which family of functions might the described function belong?

A farmer sells almonds according to the chart below. The more pounds of almonds that are sold, the lower the cost per pound is for the entire order of almonds.Almond PricesNumber of PoundsCost (per Pound)up to 10$20 more than 10, and up to 20$15 more than 20, and up to 30$10 more than 30$5 The farmer graphs a step function to model the situation, where y represents the cost per pound for an order of x pounds of almonds. Which of the following describes the farmer’s graph for the step that includes 20.75 pounds, and what is the total cost of 20.75 pounds of almonds?

Which is the graph of reflected across the x-axis, translated 3 units left, 4 units up, and dilated by a factor of 4?

Which of the following gives a single solution of the inequality and shows a graph that can be used to determine the entire solution set of the inequality?

The graph of is transformed as shown in the graph below. Which equation represents the transformed function?

An international calling plan charges 45 cents per minute or fraction of a minute for each call. Which graph models the cost, y, in cents of making x minutes of international calls?

Fuaad solved an absolute value inequality and expressed the solution as . What is another way to show Fuaad’s solution?

Which statement is true about ?

What is the solution, if any, to the inequality ?

What is the range of the function graphed below?

A manager needs to order company shirts for each employee. She was quoted the following rates. If she orders 75 shirts and passes the cost along to the employees, what would each employee owe for the shirt if each pays the same amount? Round to the nearest cent. Price Quote for Company Work ShirtsNumber of shirts orderedCost per shirtFirst 19 shirts$10Next 30 shirts$8Each shirt over 49$5