Scatterplots — Unit test Answers

If and , what is the domain of ?

If f(x) is an even function and (6, 8) is one the points on the graph of f(x), which reason explains why (–6, 8) must also be a point on the graph?

The value, V(m), of a comic book m months after publication has an average rate of change of –0.04 between m = 36 and m = 60. Which statement must be true?

The table shows how far a distance runner has traveled since the race began. What is her average rate of change, in miles per hour, during the interval 0.75 to 1.00 hours?Time Elapsed (Hours)Miles Traveled (Miles)0.502.000.753.501.004.75

If f(x) = |x| + 9 and g(x) = –6, which describes the range of (f + g)(x)?

What is the equation of the line perpendicular to 2x – 3y = 13 that passes through the point (–6, 5)?

If c(x) = 4x – 2 and d(x) = x2 + 5x, what is ?

If h(x) is the inverse of f(x), what is the value of h(f(x))?

To determine whether a graph of a relation is also a function, Shayla declares that the y-axis is a vertical line and counts the number of times that the graph intersects the y-axis. If the graph has exactly one y-intercept, Shayla concludes that the graph shows a function. In all other cases, she declares that it is not a function. Is Shayla applying the vertical line test correctly?

If u(x) = x5 – x4 + x2 and v(x) = –x2, which expression is equivalent to ?

What is the value of the following function when x = 0?

The table shows the population of Center City in various years. Use the data from 1990 and 2005 to create a linear model that predicts the population of the city (y) in a given year (x). In which year was the actual population of Center City most different from the value predicted by this model?YearCity Population1985194,9571990197,8001992199,5322000203,7502005206,5612012210,600

Which function has an inverse that is also a function?

Which scatterplot has a correlation coefficient closest to r = –1?

Given , what is the equation of the line that passes through the points (–p, –q) and (p, q)?

Which of the following is an even function?

If f(x) = 7 + 4x and , what is the value of ?

The cost, c, of a ham sandwich at a deli varies directly with the number of sandwiches, n. If c = $54 when n is 9, what is the cost of the sandwiches when n is 3?

If a(x) = 3x + 1 and , what is the domain of ?

Given , what is the average rate of change in f(x) over the interval [1, 5]?