Relations and Functions — Unit test Answers

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

Elise, Jake, Malik, and Xiao each solved the same inequality.Elise’s WorkJake’s WorkMalik’s WorkXiao’s Workno solutionall real numbersWhose work is correct?

The force exerted by a pulley is the sum of the tension and the force of gravity. Since a pulley is used to lift something, the force is negative. The tables show the tension, T(m), and the force of gravity, G(m), for objects of various masses, m in grams, all accelerating upward at 2.5 m/s2.The force of the rope is equal to the negative of the sum of the rope’s tension and the force of gravity.

If s(x) = 2 – x2 and t(x) = 3x, which value is equivalent to ?

A modern art piece includes drops of paint spilling periodically into a basin of liquid. The display is timed with an expectation that the circular area of the green spill increases 1.5 square centimeter per hour. Increase in area: A(h) = 1.5h; h in hoursIncrease in diameter: in square centimeters

The standard diameter of a golf ball is 42.67 mm. A golf ball factory does quality control on the balls it manufactures. Golf balls are randomly measured to ensure the correct size. One day, an inspector decides to stop production if the discrepancy in diameter is more than 0.002 mm. Which function could represent this situation?

If , what is ?

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

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

If and , what is the domain of ?

When estimating a job to bid, a contractor’s estimator first determines the actual cost of labor using the functionL(h) = 28.75h, where h is the number of estimated hours it will take to complete the job. Next, the estimator adds the labor burden, which accounts for taxes and insurance, using the function B(L) = 1.78L. Finally, the estimator calculates the selling price, including the markup for overhead and profit, using the function M(B) = 1.43B.

Which of the following is an odd function?

What is the vertex of the absolute value function below?