Analyzing Rational Functions and Their Derivatives

• A

• B

• C

• D

7.

• (A)

• (B)

• (C)

• (D)

If a function has a derivative that is negative, what does that tell you?

• The function is increasing

• The function is decreasing

The derivative of a function is its

• Slope

• Maximum/Minimum

• Instantaneous rate of change

• Common Denominator

What is the derivative of f?

• 1/(x - 1)^-1

• -1/(x - 1)^-2

• -1/(x - 1)

• -1/(x - 1)²

Find the derivative of g(x)=(3x-2)/(x²+2)

• 9x²+2

• 3(x²+2)/(x²+2)²

• (-3x²+4x +6)/(x²+2)²

• (-3x²+10)/(x²+2)²

• A

• B

• C

• D

• y = -2

• y = 0

• y = 1/2

• x = 2

• none

What is the equation of the horizontal asymptote?

• y = 0

• y = -2

• y = 2

• There isn't one

Find the derivative of y

• 8x⁴ -60x²

• 16x⁴

• (8x⁴ -60x²)/(2x²-5)²

• 3x