Scatterplots — Unit test Answers

The graph shows the distance in miles of a runner over x hours. What is the average rate of speed over the interval [9, 11]?

The tables for f(x) and g(x) are shown below.xf(x)–5–11–21113529xg(x)–5–7–2–115513What is the value of (f – g)(5)?

Which graph represents an even function?

If r(x) = 2 – x2 and w(x) = x – 2, what is the range of ?

What is the equation of the line perpendicular to that passes through the point (12, –6)?

If k(x) = 5x – 6, which expression is equivalent to (k + k)(4)?

Which graph represents the same relation as the set ?

What is the equation of a line with a slope of –2 that passes through the point (6, 8)?

The domain of u(x) is the set of all real values except 0 and the domain of v(x) is the set of all real values except 2. What are the restrictions on the domain of ?

If and , what is the degree of ?

For what value of is the function one-to-one?

Mark and Jessica are each making a linear model to predict the population of squirrels in the town park. They are both using the same data points to find an equation of the line of best fit: the squirrel population, p, in 2002 and the squirrel population, q, in 2011. Mark is using the year as the x-value, and he represents his data as (2002, p) and (2011, q). Jessica is using the years since 2000 as her x-value, and she represents her data as (2, p) and (11, q). Which statement best describes how their prediction equations compare?

If f(x) = x2 – 25 and g(x) = x – 5, what is the domain of ?

The graph of f(x) is shown below.If g(x) and f(x) are inverse functions, which graph represents g(x)?

The cost of producing x soccer balls in thousands of dollars is represented by h(x) = 5x + 6. The revenue is represented by k(x) = 9x – 2. Which expression represents the profit, (k – h)(x), of producing soccer balls?