Exploring the Reciprocal Function and Its Graph

What is the reciprocal of a number X?

• X squared

• 1 over X

• X plus 1

• X minus 1

Why can't X be zero in the reciprocal function?

• Because it would result in a negative number

• Because it would result in a division by zero

• Because it would result in a complex number

• Because it would result in an undefined number

What is the reciprocal function of f(x)?

• f(x) = X

• f(x) = 1 + X

• f(x) = 1 / X

• f(x) = X - 1

What is the value of f(2) in the reciprocal function?

• 0

• 1/2

• 2

• 1

What happens to the Y values as the absolute value of X increases?

• Y values become undefined

• Y values decrease

• Y values remain constant

• Y values increase

What is the shape of the graph of the reciprocal function?

• Ellipse

• Parabola

• Hyperbola

• Circle

What type of symmetry does the reciprocal function have?

• Reflective symmetry

• Rotational symmetry

• Translational symmetry

• No symmetry

Why does the reciprocal function have a vertical asymptote at x = 0?

• Because the function is negative at x = 0

• Because the function is infinite at x = 0

• Because the function is zero at x = 0

• Because the function is undefined at x = 0

What happens to the Y values as X approaches zero from either direction?

• Y values approach zero

• Y values approach positive infinity

• Y values approach negative infinity

• Y values approach positive or negative infinity

What is the effect of adding a constant to the reciprocal function?

• It stretches the graph

• It shifts the graph horizontally

• It compresses the graph

• It shifts the graph vertically