Degrees in Polynomial and Rational Functions

Liam, Grace, and Harper are studying functions in their math class. Their teacher asks them to define a rational function in terms of polynomial functions. How should they respond?

• A rational function is a function that can be written as the product of two polynomial functions.

• A rational function is a function that can be written as the difference of two polynomial functions.

• A rational function is a function that can be written as the sum of two polynomial functions.

• A rational function is a function that can be written as the quotient of two polynomial functions, where the denominator is not equal to zero.

Tags

PC.F.4.5 

8694B1AFF37145BBBE5CEC3B37D5C3BB

Abigail, Nora, and Elijah are studying rational functions in their math class. They are trying to find the horizontal asymptotes of a rational function in a real-world problem. How should they approach this task?

• They should look at the degrees of the numerator and denominator.

• They should calculate the derivative of the function.

• They should find the average of the numerator and denominator.

• They should look at the coefficients of the numerator and denominator.

Tags

PC.F.4.5 

Lily, Michael, and Benjamin are studying rational functions in their math class. Their teacher asks them to identify an asymptote in a rational function. How would they describe it?

• A point where the graph changes direction.

• A line that the graph approaches but never touches.

• A line that the graph intersects at multiple points.

• A line that the graph touches at one point.

Tags

PC.F.4.5 

Luna, Elijah, and Noah are trying to design a roller coaster. They need to calculate the points where the roller coaster track would go infinitely high (vertical asymptotes). How should they do this for a rational function representing the track's shape?

• They should take the derivative of the function and find the x-values where the derivative is undefined.

• They should set the numerator of the function equal to zero and solve for x.

• They should set the denominator of the function equal to zero and solve for x.

• They should set both the numerator and denominator of the function equal to zero and solve for x.

Tags

PC.F.4.5 

What is a degree of a polynomial?

• The highest exponent (or sum of exponents in the same term).

• The temperature outside.

• The temperature of the oven.

• The sum of the coefficients.

What is the numeric degree of the polynomial function?

• unable to determine

• 4

• 5

• 6

Tags

CCSS.HSA.APR.B.3

The highest exponent on a polynomial represents the

• coefficient

• degree

• orientation

• roots

The greatest degree of all of its terms is the​ (a)  

• degree of a polynomial

• highest power

• smallest coefficient

Any Polynomial of degree 2 is called __________.

• Quadratic

• Cubic

• Linear

• None of these

What is the degree of the polynomial shown?

Mathematical Equivalence

ON