Interpreting Functions - CCSS Math

High School Algebra Practice


This quiz illustrates the range of difficulty expected by the following Common Core State (CCS) standards:

QuestionCommon Core Standard #
indicates a modeling standard.

All questions of this quiz illustrate the difficulty of the high school F.IF standards required for all students, including the college and career ready students.

Question 1: In the graph shown below, which of the following statements must be true?

Question 2: Given the function f(x) = x3, which of the following statements is true for any two numbers a and b?

Question 3: Let f(t) be the number of people, in thousands, who live in Las Vegas t years after 1990. If the population of this city in 2001 was 500,000, which of the following is correct?

Question 4: The sequence 1, 1, 2, 5, 13, 34, 89... is defined recursively by the sequence:

Question 5: The cost of a taxi trip in New York City is c(x) = 5 + 0.6x, where x is the length of the trip in miles. Which of the following is an expression of the average cost per mile?

Questions 6 and 7: The voltage at the output of an electronic circuit as a function of time is given in the following equation:

In this equation t represents time, with t = 0 corresponding to when the output voltage in question is first measured. The output voltage at t = 0 is volts.

As time elapses, the output voltage stabilizes, approaching the value of volts.

Question 8: The speed of a marathon runner has decreased by 1.5 miles/hour in the first hour after the race began. If v(t) is a function that represent the speed of the runner versus time in minutes, which of the following equations is correct?

Question 9: Which of the following could be the function of a real variable x whose graph is shown below?

Question 10: Given the function , the percent rate of change of f(t) between t = 1 and t = 2 is .

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