Algebra 2: Rational Functions and Transformations Quiz

What is the formula for direct variation?

• y = kx

• y = x/k

• y = k + x

• y = k/x

How do you find the constant of variation (K) in an inverse variation?

• Subtract x from y

• Divide y by x

• Multiply y by x

• Add y and x

What does a vertical stretch in a rational function indicate?

• Branches move further from the asymptotes

• Graph shifts left

• Branches move closer to the asymptotes

• Graph shifts right

If a rational function has a vertical compression, what is the range of 'a'?

• a > 1

• 0 < a < 1

• a < 0

• a = 1

What is the domain of a rational function with no X in the numerator?

• All real numbers

• All real numbers except X cannot be one

• All real numbers except Y cannot be zero

• All real numbers except X cannot be zero

What is the horizontal asymptote of a rational function with no X in the numerator?

• x = 1

• y = 1

• x = 0

• y = 0

How do you determine the vertical asymptote of a rational function with X in the numerator?

• Multiply the numerator by the denominator

• Divide the numerator by the denominator

• Set the denominator equal to zero

• Set the numerator equal to zero

What is the horizontal asymptote when the coefficients of X in the numerator and denominator are divided?

• y = 1

• y = the result of the division

• x = the result of the division

• y = 0

In an inverse variation, if y = 30 and x = 6, what is the value of K?

• 24

• 36

• 180

• 5

Given y = 180/x, what is y when x = 9?

• 20

• 30

• 22

• 18