Rational Functions Quiz

Which of the following is an example of a real life situation that can be modeled using a rational function?

• The speed of a car over time

• The cost of producing widgets

• The pressure in a gas tank with volume

• All of the above

A company's revenue R depends on the price p and can be modeled by a rational function. Which of the following could represent this function?

• Rp=p2p+1

• Rp=2p+5

• Rp=1p+3

• Rp=p2-4

Which situation is best modeled by a rational function?

• Population growth over time

• Distance traveled with respect to time

• Cost per unit as the number of units produced increases

• Temperature change throughout the day

In economics, the supply and demand curves are often rational functions. Which of these could represent a supply curve?

• Sp=p+1p-1

• Sp=p+4

• Sp=2pp2+1

• Sp=p-3

In biology, the spread of a disease can be modeled by a rational function. Which of these expressions could represent the spread rate?

• 2tt+1

• t+2t-1

• t2+t+1

• t

Which of the following is a rational function?

• fx=3x+2x-4

• gx=x2+x+1

• hx=5

• px=x

Identify the rational equation:

• 2x+3x-1=5

• y=3xx+2

• 4x2≥1

• ��x2+1x-3<2

Which of these is a rational inequality?

• x+1x-2>3

• x2-5x+6=0

• x+1<4

• 3x+2≤7

A rational function is:

• A function that can be expressed as a quotient of two polynomials

• A function that cannot be written as a quotient

• A linear function

• An exponential function

Rational equations often involve:

• Polynomials in the numerator and denominator

• Exponents and roots

• Logarithms

• Sines and cosines