Graphing Polynomial Functions — Cumulative exam Answers

What is the solution to the equation ?

What is one solution of the following system?

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]?

What is the sum of 12 – 5i and –3 + 4i?

A health club charges non-members $5 per day to swim and $9 per day for an exercise class. Members pay a yearly fee of $300 plus $4 per day to attend an exercise class and no swim fee. If Robert swims and takes an exercise class every time he goes to the gym, which equation shows the number of days, d, he must use the gym to make the membership worthwhile?

What is the remainder when (3x3 – 2x2 + 4x – 3) is divided by (x2 + 3x + 3)?

What values of b satisfy 4(3b + 2)2 = 64?

Which system of equations is consistent and dependent?

For which value of m does the graph of y = 18x2 + mx + 2 have exactly one x-intercept?

What is the point of intersection when the system of equations below is graphed on the coordinate plane?

During a baseball game, a player hits a ball while a bird is flying across the field. Let t be the time in seconds since the ball is hit and h be the height in feet. The height of the baseball over time is modeled by the equation h = –16t2 + 65t and the height of a bird over time is modeled by the equation h = 8t + 20. What do the intersection points of the equations represent?

If f(–5) = 0, what are all the factors of the function ? Use the Remainder Theorem.

Which statement best describes how to determine whether f(x) = x2 – x + 8 is an even function?

The price that a company charged for a computer accessory is given by the equation where x is the number of accessories that are produced, in millions. It costs the company $10 to make each accessory. The company currently produces 2 million accessories and makes a profit of 100 million dollars. What other number of accessories produced yields the same profit?

Which ordered pair (r, s) is the solution to the given system of equations?

What is the value of w in the solution to the following system of linear equations?

What is the value of i 20+1?

Use the zero product property to find the solutions to the equation x2 – x – 6 = 0.

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

Which could be the function graphed below?