Exam 3 Review

Polynomial Functions

100

Is it possible to have a polynomial of degree 7 without any x-intercepts? Why or why not?

It is not possible to have one because the polynomial has an odd degree, therefore the end behavior is opposite so at some point the function MUST cross the x-axis.

200

g(x)= -x^5 +5x^3 -4x Answer the following: Degree, LC, End Behavior, Max # of X-intercepts, Max # of Turning Points

What is Degree: 5 LC: -1 EB:Up, Down Max X's: 5 Max TP's: 4

300

Is it possible to have a polynomial function with degree 10 that falls to the left and falls to the right? Why or why not?

What is yes it is possible because with an even degree polynomial, the end behaviors MUST be the same.

400

f(x)=x(x^2 -4) Find the following: Degree, LC, End Behavior, Max # of X-intercepts, and the Max # of Turning Points

What are Degree: 3 LC: 1 EB: Down, Up Max X's: 3 Max TP's: 2

500

The balloons replaced what in the Macy's Thanksgiving Day Parade.

What is zoo animals?

Thanksgiving Traditions

100

The average number of guests at Thanksgiving?

5, 9, 11, or 17

What is 11?

200

The Christmas song that was traditionally a Thanksgiving Song.

What is Jingle Bells?

300

The first Macy's Thanksgiving Parade was commemorating which holiday.

What is Christmas?

400

People are most thankful for...

What is family, health and life.

500

The NFL teams that always play on Thanksgiving day. 

What are the Dallas Cowboys and Detroit Lions?

Polynomial Inequalities

100

Solve the inequality and put it in interval notation. (x-4)(x+3)<0

What is (-3, 4)?

200

Solve the equation and put it in interval notation. (x+5)(x-2)(x-1)(x+1)<0

What is (-5, -1)U(1,2)?

300

Solve the inequality and put it in interval notation. x^2 +5x +4 < (or equal to) 0

What is [-4, -1]?

400

Solve the inequality and put it in interval notation. (x+8)(x+2)(x-3)>(or equal to) 0

What is [-8,-2]U[3, infinity)?

500

Solve the inequality and put it in interval notation. x^2 -14x +49 >(or equal to) 0

What is (negative infinity, infinity)?

Rational Functions

100

Find the Domain, VA, HA, Holes, Xint, and the Yint of the following function. f(x)= (2.5x+1800)/x

What is domain: all reals except 0, VA: at x=0, HA: at y=2.5, Holes: none, xint: at x=-720, yint: none?

200

This household hazard triples on Thanksgiving.

What is fires?

300

f(x)= 1/x Find the domain, VA, HA, Holes, Xints, and Yint.

What is domain: all reals except 0, VA: at x=0, HA: at y=0, Holes: none, Xint: none, Yint: none?

400

Write a function with the following characteristics. A hole at x=3 and a HA at y=6 There are many possible answers.

What is 6x/(x-3)?

500

According to Merriam-Webster, the term "Friendsgiving" was first circulated in this year.

2001, 2007, 2017

What is 2007?

Rational Inequalities

100

(x+3)(x+5)/(x+2)>(or equal to) 0 Solve the inequality in interval notation.

What is [-5, -3]U(-2, infinity)?

200

Solve the inequality in interval notation. (x+68)/(x+8)>(or equal to) 5

What is (-8, 7]?

300

Solve the inequality in interval notation. (x+6)/(x^2 -5x-24) > 0

What is (-6, -3)U(8, infinity)?

400

Solve the inequality in interval notation. -7/(x+5) <(or equal to) -8/(x+6)

What is (negative infinity, -6)U(-5, 2]?

500

Write a rational inequality with the solution: (-2, -1)U(1, infinity).

What is (x+1)(x+2)/(x-1) > 0?