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.

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PC.F.4.5 

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.

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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.

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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.

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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

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