Understanding Rational Functions

What is the parent function of a rational graph?

• f(x) = x^3

• f(x) = x + 1

• f(x) = 1/x

• f(x) = x^2

How do you find the vertical asymptote of a rational function?

• Set the numerator equal to zero

• Set the denominator equal to zero

• Find the derivative

• Set the function equal to zero

What is the domain of the function f(x) = 1/(x-4)?

• All real numbers except x = 4

• All real numbers except x = 0

• All real numbers

• All real numbers except x = -4

If a rational function has a horizontal asymptote at y = 3, what is the range?

• All real numbers except y = -3

• All real numbers except y = 3

• All real numbers except y = 0

• All real numbers

In which quadrants does a positive rational function graph typically appear?

• First and third

• First and second

• Third and fourth

• Second and third

What does a negative sign in front of a rational function indicate about its graph?

• It shifts the graph up

• It shifts the graph down

• It reflects the graph across the x-axis

• It reflects the graph across the y-axis

What is the effect of a vertical stretch on a rational function?

• It makes the graph wider

• It makes the graph narrower

• It shifts the graph right

• It shifts the graph left

If a rational function is shifted right by 7 units, what is the value of h in the transformation equation?

• h = -3

• h = 0

• h = 7

• h = -7

What does the parameter 'K' in a rational function transformation indicate?

• Horizontal stretch

• Vertical stretch

• Vertical shift

• Horizontal shift

How does a negative 'K' value affect the graph of a rational function?

• Reflects the graph across the y-axis

• Reflects the graph across the x-axis

• Shifts the graph down

• Shifts the graph up