Unit Test — Cumulative exam Answers

Which equation describes a rational function with x-intercepts at –4 and 2, a vertical asymptote at x = 1 and x = –1, and a horizontal asymptote at y = –3?

The center of an earthquake was detected along the Pacific Rim. Geologists determined that the distance the seismic waves traveled is represented by r = 15sin(θ), where r is in miles. Which graph represents the distance the waves traveled?

Review the graph of z2.

Which sequence explains a geometric method of determining ?

Nine and one-half less than four and one-half times a number is greater than 62.5. Which of the following represents the solution set of this problem?

Juan jogs each day from his house to a local park, and then he jogs back along the same route. On his way to the park, he averages 4 miles per hour. On his way home, he averages 6 miles per hour. If the total trip takes hours, which equation can be used to find x, the distance in miles from Juan’s house to the park? Distance (mi)Rate (mi/hr)Time (hr)Trip to Parkx4 mph Trip to Homex6 mph

The graph represents the fees in thousands of dollars, y, depending on the amount invested in millions, x, with one financial investment firm.

The height of a tennis ball tossed into the air is modeled by h(x) = 40x – 16x 2, where x is elapsed time in seconds.During what time interval will the tennis ball be at least 15 feet above the ground?

Functions f(x) and g(x) are composed to form . If , what is the value of a?

Which graph represents the polar curve r = 1 + sin(θ)?

Which expression is equivalent to the following complex fraction?

Which expression is equivalent to ?

If what is the value of w in terms of x and y?

The relationship between voltage E, current I, and resistance Z is given by the equation E = IZ. If a circuit has a current I = 3 + 2i and a resistance Z = 2 – i, what is the voltage of the circuit?

What property is used in the second step of solving the inequality below?______Given_________________________Multiplication Property

Which graph shows the solution set of ?

For the expression , which sum represents the correct form of the partial fraction decomposition?

Which transformations to the graph of y = ex would result in the graph of y = ex + 34 – 27?

A party planner is going to use an arch of balloons for a parade of recent graduates. The estimated curve the balloons will create is modeled by the function given in the table, where x represents the distance in feet along the ground from the start and f(x) represents the height in feet above the ground.