Graphing the reciprocal function and defining its characteristics

What is the first step in graphing a function according to the teacher?

• Finding the horizontal asymptote

• Identifying the domain

• Determining the vertical asymptote

• Calculating the range

How do you determine the horizontal asymptote of a function?

• By finding the x-intercepts

• By setting the numerator equal to zero

• By comparing the degrees of the numerator and denominator

• By comparing the coefficients of the highest degree terms

What type of graph does the reciprocal function create?

• An ellipse

• A hyperbola

• A circle

• A parabola

In the transformation of a reciprocal function, what does the value of H indicate?

• Vertical shift

• Horizontal shift

• Reflection

• Stretching

What does the value of K in the function's equation determine?

• The vertical shift

• The direction of reflection

• The horizontal shift

• The slope of the graph

When plotting points for the graph, how many points should be shown on each side of the vertical asymptote?

• Three points on each side

• Two points on each side

• Four points on each side

• One point on each side

What is the purpose of plotting points around the vertical asymptote?

• To calculate the range

• To determine the slope

• To find the x-intercepts

• To accurately sketch the graph