Radical Equations and Extraneous Roots — Unit test Answers

Which graph shows a function with a range of all real numbers greater than or equal to –1?

What are the domain and range of the function below?

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 statement is true about ?

The parent function f(x) = x3 and its translation, g(x), are shown on the graph.

Given the function f(x) = –5|x + 1| + 3, for what values of x is f(x) = –12?

A cable company wants to provide cell phone service for residents on an island. The function for the cost of laying the cable from the island to the mainland is , where x represents the length of the cable in meters. What are the domain and range of the function?

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

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

Which graph shows the solution to the inequality ?

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

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

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

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Ashley is a member of the Movie-a-Month Club, where she rents movies each month. She uses the table below to keep track of the number of movies she rents each month and the total cost, which includes her monthly membership fee.Number of Movies vs. Total CostNumber of Movies1215922Total Cost$35.00$42.50$27.50$60.00Ashley graphed the relationship in the table. What is the slope of the graph, and what does it represent?